Statistics Questions

Decide if the events A and B are mutually exclusive or not mutually exclusive A date in Philadelphia is selected A It rains that day B It snows that day O mutually exclusive Onot mutually exclusive

weights for all Herdwick sheep is 4 54 kg A veterinary service has hired you to test that claim To do so you select a random sample of 35 Herdwick sheep and record the birth weights Assume it is known that the population standard deviation of the birth weights of Herdwick sheep is 2 15 kg Based on your sample follow the steps below to construct a 90 confidence interval for the population mean of the birth weights for all Herdwick sheep Then state whether the confidence interval you construct contradicts the publication s claim If necessary consult a list of formulas a Click on Take Sample to see the results from your random sample of 35 Herdwick sheep Take Sample Sample size 0 Point estimate 0 Population standard deviation 10 Critical value 0 Compute Enter the values of the sample size the point estimate for the population mean the population standard deviation and the critical value you need for your 90 confidence interval Choose the correct critical value from the table of critical values provided When you are done select Compute 0 00 0 00 Number of sheep 35 2 00 Sample mean 3 19 4 00 Sample standard deviation Standard error Margin of error 90 confidence interval 90 confidence interval b Based on your sample graph the 90 confidence interval for the population mean of the birth weights for all Herdwick sheep Enter the lower and upper limits on the graph to show your confidence interval For the point enter the publication s claim of 4 54 kg 5 00 2 01 6 00 O No the confidence interval does not contradict the claim The publication s claim of 4 54 kg is inside the 90 confidence interval O No the confidence interval does not contradict the claim The publication s claim of 4 54 kg is outside the 90 confidence interval O Yes the confidence interval contradicts the claim The publication s claim of 4 54 kg is inside the 90 confidence interval 8 00 O Yes the confidence interval contradicts the claim The publication s claim of 4 54 kg is outside the 90 Population standard deviation 2 15 Critical values 20 005 2 576 20 010 2 326 20 025 1 960 20 050 1 645 20 100 1 282 X X X c Does the 90 confidence interval you constructed contradict the publication s claim Choose the best answer from the choices below 10 00 10 00

The weights in pounds of 30 preschool children are listed below Find the five number summary 27 27 5 28 28 28 5 31 32 32 5 32 5 37 37 38 38 25 25 26 26 26 5 27 29 29 29 30 30 30 5 31 33 33 34 34 5 35 35 O A Min 25 Q 28 Q 30 75 Q3 34 Max 38 OB Min 25 Q 27 5 Q 30 75 Q3 33 Max 38 OC Min 25 Q 27 5 Q 30 5 Q3 33 5 Max 38 OD Min 25 Q 28 Q 30 5 Q3 34 Max 38

Use the standard normal distribution to find P 2 25 z 1 2 Click here to view page 1 of the standard normal table Click here to view page 2 of the standard normal table OA 0 0122 OB 0 8944 OC 0 8822 D 0 4878

Data collected by a researcher trying to gather information on a real world issue is considered 42

The random variable x represents the number of boys in a family of three children Assuming that boys and girls are equally likely find the mean and standard deviation for the random variable x P x 0 125 0 375 2 0 375 3 0 125 X 0 OA mean 2 25 standard deviation 0 76 OB mean 1 50 standard deviation 0 87 OC mean 1 50 standard deviation 0 76 OD mean 2 25 standard deviation 0 87

Classify the two given samples as independent or depende Sample 1 The weights in pounds of 14 newborn females Sample 2 The weights in pounds of 14 newborn males O dependent

Data means so many things to people Some think of data as just a set of numbers that have been collected However there are many different kinds of data Data given in words or categories is called data and is often represented by a histograph Whereas data is measured in numbers and can be represented as a pie chart or a bar graph

In class of 20 students a teacher predicts this distribution of final exam grades based on past experience Grade Frequency A 5 6 7 2 The actual class final exam grades are here Grade Frequency A 7 B 7 C 5 D F 1 At 0 05 significance do the actual class final exam grades fit the teacher s predictions a Which is the null hypothesis B C D F OHO The class grades are independent of the teacher s predictions OHO The class grades fit the teacher s predictions OHO The class grades are dependent of the teacher s predictions OHO The class grades fit the teacher s predictions b Which is the alternative hypothesis OH1 The class grades are dependent on the teacher s predictions OH1 At least one grade category does not fit the teacher s predictions O H1 All grade categories do not fit the teacher s predictions O H1 The class grades are independent on the teacher s predictions c What is the test statistic Round to 2 decimal places d What are the degrees of freedom needed to find the p value e What is the p value Round to 4 decimal places f Which is the decision Beject the null hypothesis

Designing situations to compare treatments with live subjects divided into two or more groups is called a n Select one O a placebo O b experiment OC simulation O d bias

Eric is curious to know if girls at his school spend more time on social media than boys so he creates a survey and gives it to all the kids in his classes He has given the survey to the

For a recent year the numbers of homicides that occurred each month in a particular city were The police commissioner believes that homicides occur more often during the summer when the weather is better Month Number Month Number Jan July 46 Aug 50 Sept 50 Oct 43 Nov 36 Dec 36 Feb Mar April May June JUNE 544429 b Which is the alternative hypothesis 37 31 47 41 50 Use a 0 05 significance level to test whether homicides in this city are equally likely for each of the 12 months a Which is the null hypothesis 47 OHO At least one month has a different frequency of homicides than the others OHO Homicides occur with equal frequency throughout the different months OHO At least two months have a different frequency of homicides than the others OHO Homicides occur with all different frequencies in the different months g Which is the decision and reasoning OH1 Homicides occur with all different frequencies throughout the different months OH1 Homicides occur with equal frequency throughout the different months OH1 Homicides do not occur with equal frequency throughout the different months OH1 At least two months have a different frequency of homicides than the others c What is the expected frequency for each month Round to 3 decimal places d What is the test statistic X Round to 2 decimal places e What are the degrees of freedom needed to find the p value f What is the p value Round to 4 decimal places Reject the null hypothesis There is not enough evidence to reject the claim that homicides in this city are equally likely for each of the 12 months Reject the null hypothesis There is enough evidence to reject the claim that homicides in this city are equally likely for each of the 12 months Fail to reject the null hypothesis There is not enough evidence to reject the claim that homicides in this city are equally likely for each of the 12 months

The money raised and spent both in millions of dollars by all congressional campaigns for 8 recent 2 year periods are shown in the table The equation of the regression line is y 0 978x 1 055 Find the coefficient of determination and interpret the result Money raised x Money spent y 471 1 446 3 674 9 696 8 749 3 737 2 Find the coefficient of determination and interpret the result r2 Round to three decimal places as needed 782 2 761 4 796 1 1044 7 954 3 1200 9 747 9 1018 4 937 1 1174 3

Some people believe that different octane gasoline result in different miles per gallon in a vehicle The following data is a sample of 11 people which were asked to drive their car only using 10 gallons of gas and record their mileage for each 87 Octane and 92 Octane Person 1 2 3 4 5 6 7 8 9 10 Miles with 87 Octane 234 257 243 215 114 287 315 229 192 204 Miles with 92 Octane 237 238 229 224 119 297 351 241 186 209 11 547 562 Do the data support that different octanes produce different miles per gallon at the a 0 02 level of significance Note A normal probability plot of difference in car mileage between Octane 87 and Octane 92 indicates the population could be normal and a boxplot indicated no outliers a Express the null and alternative hypotheses in symbolic form for this claim Assume 2 where is the population mean mileage for Octane 87 and 2 is the mean mileage for Octane 92 Select an answer Ho Pa H Ha Select an answer b What is the significance level c What is the test statistic Round to 3 decimal places d What is the p value Round to 5 decimal places

It is a common belief that SUVs are safer than cars In a collision does an SUV sustain less damage cost of repair than a car Car Damage 1 274 2 327 3 223 2 329 2 058 1 415 3 095 1 470 3 386 2 884 4 560 Test the claim above at the a 0 1 level of significance Note A normal probability plot of difference in car damages between SUVs and other cars indicates the population could be normal and a boxplot indicated no outliers SUV into Car Honda CR V into Honda Civic Toyota RAV4 into Toyota Corolla Hyundai Tuscon into Kia Forte Volkswagon Tiguan into Volkswagon Golf Jeep Patriot into Dodge Caliber Ford Escape into Ford Focus Nissan Rogue into Nissan Sentra SUV Damage 1 721 1 434 850 a Express the null and alternative hypotheses in symbolic form for this claim Assume 1 2 where is the population mean cost for the SUV Damage and 2 is the mean cost for the Car Damage Ho Hd Select an answer H Select an answer b What is the significance level a c What is the test statistic Round to 3 decimal places d What is the p value Round to 4 decimal places P e Make a decision Do not reject the null

V A biologist conducted a six month field study of a small plot of land The following table shows the population of a species of meadow mouse during that time Month x 0 Answer 2 Points 1 2 3 4 5 6 Population f x 4 5 8 17 26 32 35 Copy Data Use the regression commands on a graphing utility to find the exponential function of best fit for the mouse population over the six months Write your answer in the form f x a b and round a and b to three decimal places if necessary Note that using different graphing utilities may yield different results Keypad Keyboard Shortcuts

Trace metals in drinking water affect the flavor and an unusually high concentration can pose a health hazard Ten pairs of data were taken measuring zinc concentration in bottom water and surface water of a water source Zinc Location concentration in bottom water 1 2 3 4 5 6 7 8 9 430 266 567 531 707 716 651 10 589 469 Zinc concentration in surface water 415 238 390 410 605 609 632 523 411 723 612 Do the data support that the zinc concentration is less on the surface than the bottom of the water source at the a 0 1 level of significance Note A normal probability plot of difference in zinc concentration between the bottom and surface of water indicates the population could be normal and a boxplot indicated no outliers a Express the null and alternative hypotheses in symbolic form for this claim Assume 1 2 where is the population mean zinc concentration in the bottom of water and 2 is the mean zinc concentration in the surface of water Ho Select an answer Ha Ha Select an answer b What is the significance level a c What is the test statistic Round to 3 decimal places C d What is the p value Round to 4 decimal places

Use the value of the correlation coefficient r to calculate the coefficient of determination r2 What does this tell you about the explained variation of the data about the regression line About the unexplained variation r 0 926 Calculate the coefficient of determination Round to three decimal places as needed

Question 23 of 30 Step 1 of 2 The menu developers for a chain of coffee shops have conducted experiments to see how long customers take to make a drink choice based on the number of drinks on the menu Normalizing so that the average time needed to make a choice given just 2 drinks is 1 time unit the average times needed to make a choice given x drinks on the menu are shown in the table below Number of drinks x 2 3 4 Answer 2 Points 5 6 7 Average time to make a choice f x 1 1 6 2 2 2 6 3 3 2 Copy Data Step 1 of 2 Use logarithmic regression to find the logarithmic function of best fit for the average time customers need to make a drink choice Write your answer in the form f x a blnx and round a and b to three decimal places if necessary Keypad Keyboard Shortcuts

you to test that claim To do so you select a random sample of 35 Herdwick sheep and record the birth weights Assume it is known that the population standard deviation of the birth weights of Herdwick sheep is 2 15 kg Based on your sample follow the steps below to construct a 90 confidence interval for the population mean of the birth weights for all Herdwick sheep Then state whether the confidence interval you construct contradicts the publication s claim If necessary consult a list of formulas a Click on Take Sample to see the results from your random sample of 35 Herdwick sheep Take Sample Sample size 0 Point estimate Population standard deviation 0 Enter the values of the sample size the point estimate for the population mean the population standard deviation and the critical value you need for your 90 confidence interval Choose the correct critical value from the table of critical values provided When you are done select Compute Critical value 0 Compute 0 00 Number of sheep 0 00 Sample mean 2 00 Sample standard deviation Standard error 4 00 Margin of error 90 confidence interval 90 confidence interval 5 00 b Based on your sample graph the 90 confidence interval for the population mean of the birth weights for all Herdwick sheep 6 00 Enter the lower and upper limits on the graph to show your confidence interval For the point enter the publication s claim of 4 54 kg No the confidence interval does not contradict the claim The publication s claim of 4 54 kg is inside the 90 confidence interval O No the confidence interval does not contradict the claim The publication s claim of 4 54 kg is outside the 90 confidence interval Population standard deviation 2 15 Yes the confidence interval contradicts the claim The publication s claim of 4 54 kg is inside the 90 confidence interval 8 00 O Yes the confidence interval contradicts the claim The publication s claim of 4 54 kg is outside the 90 X Critical values 0 005 2 576 2 326 0 010 X 0 025 1 960 0 050 1 645 0 100 1 282 c Does the 90 confidence interval you constructed contradict the publication s claim Choose the best answer from the choices below 5 5 10 00 10 00 E an M

100 60 ght which shows the percentages of adults from several countries who favor building new nuclear power plants in their country The survey included random samples of 1111 adults from Country A 1003 adults from Country B 80 1000 adults from Country C and 1080 adults from Country D At a 0 05 can you reject the claim that the proportion of adults in Country C who favor building new nuclear power plants in their country is greater than the proportion of adults from Country D who favor building new nuclear power plants in their country Assume the random samples are independent OA Ho P P2 Ha P1 P2 OD Ho P1 P2 Ha P1 P2 Identify the claim and state Ho and Ha The claim is the proportion of adults in Country C who favor building new nuclear power plants in their count greater than the proportion of adults from Country D who favor building new nuclear power plants in their c Let p represent the population proportion for Country C and p2 represent the population proportion for Coun State Ho and Ha Choose the correct answer below B Ho P SP2 Ha P1 P2 40 20 0 OE Ho P1 P2 Ha P P2 Country A 53 Country B 50 Country C 48 Country D 40 OC Ho P1 P2 Ha P1 P2 OF Ho P1 P2 Ha P1 P2 Find the standardized test statistic z 3 67 Round to two decimal places as needed Use technology to calculate the P value P value 0 0001 Round to four decimal places as needed Decide whether to reject or fail to reject the null hypothesis Choose the correct answer below O Reject Ho because the P value is greater than the significance level x Reject Ho because the P value is less than the significance level a O Fail to reject Ho because the P value is greater than the significance level Fail to reject Ho because the P value is less than the significance level a

60 Use the figure to the right which shows the percentages of adults from several countries who favor building new nuclear power plants in their country The survey 100 included random samples of 1046 adults from Country A 1061 adults from Country B 80 1130 adults from Country C and 1003 adults from Country D At a 0 06 can you reject the claim that the proportion of adults in Country A who favor building new nuclear power plants in their country is the same as the proportion of adults from Country B who favor building new nuclear power plants in their country Assume the random samples are independent 0 M12 Ha P1 P2 OD Ho P1 01 P2 P2 Ha P P2 P2 OE Ho P1 Ha P1 P2 Ha P P2 Find the standardized test statistic Z Round to two decimal places as needed 40 20 0 Country A 50 Country B 49 Country C 48 Country D 33 0 M1 P2 Ha P P2 OF Ho P1 P2 Ha P1 P2

100 60 Use the figure to the right which shows the percentages of adults from several countries who favor building new nuclear power plants in their country The survey included random samples of 1111 adults from Country A 1003 adults from Country B 80 1000 adults from Country C and 1080 adults from Country D At 0 05 can you reject the claim that the proportion of adults in Country C who favor building new nuclear power plants in their country is greater than the proportion of adults from Country D who favor building new nuclear power plants in their country Assume the random samples are independent 40 20 Country A 53 1 Country B 50 Country C 48 Country D 40 Identify the claim and state Ho and Ha The claim is the proportion of adults in Country C who favor building new nuclear power plants in their country is the proportion of adults from Country D who favor building new nuclear power plants in their country

Determine whether a normal sampling distribution can be used for the following sample statistics If it can be used test the claim about the difference between two population proportions p and p2 at the level of significance x Assume that the samples are random and independent Claim p P 0 01 Sample Statistics x 34 n 65 x 33 n 60 Determine whether a normal sampling distribution can be used The samples are random and independent A normal sampling distribution n 9 n p and n Round to two decimal places as needed be used because n p can

The responses of 1622 voters to a survey about the way the media conducted themselves in a recent politica campaign are shown in the accompanying Pareto chart Find the probability of each event listed in parts a through d below Click the icon to view the Pareto chart a Randomly selecting a person from the sample who did not give the media an A or a B The probability is 0 775 Type an integer or a decimal Round to three decimal places as needed b Randomly selecting a person from the sample who gave the media a grade better than a D The probability is Type an integer or a decimal Round to three decimal places as needed

A card is selected at random from a standard deck of 52 playing cards Find the probability of each event a Randomly selecting a spade or a 2 b Randomly selecting a red suit or a king c Randomly selecting a 4 or a face card a The probability of randomly selecting a spade or a 2 is Type an integer or decimal rounded to three decimal places as needed

You have two die calculate the probability of rolling a sum of two or two even numbers First set up the sample space see previous lessons as a table Second find the probability of rolling a two Third find the probability of rolling two even numbers Fourth determine this event is Fifth use the formula Sixth the probability is 4

3 points The length in pages of math research project is given below thing this information calculate the mean and the standard deviation regarding the dists sat as a sample 25 11 28 23 17 34 40 17 20 sampki moan sample standied deviation Now use the samo data set but the time regard it as a pripotation Calculate the men and the standard deviation population mean population standard deviation Homework Sem 32 Measures of Vanaton Proble 5 User Settings Cade Problems THUAT Putin 2 3 2 Measures of Variation Prol Previous Problem Problem List 1 point If the average low temperature of a winder monthi in Rochester N and the standard deviation is 4 2 then according to Chebyshev s thourem percentage of average low temperature in Rochester NY botween 8 6 Not Problem Preview My Answers Submit Answers You have attempted this problem 0 emos You have urimited attempts remaining Email instructor

the wait times in their drive thru for all customers is 3 93 minutes You work for a competitor and you want to test that claim To do so you select a random sample of 40 of the chain s drive thru customers and record the wait time in the drive thru for each Assume it is known that the population standard deviation of the wait times in the drive thru for the hamburger chain s restaurants is 2 91 minutes Based on your sample follow the steps below to construct a 95 confidence interval for the population mean of the wait times in the drive thru for all customers Then state whether the confidence interval you construct contradicts the restaurant chain s claim If necessary consult a list of formulas a Click on Take Sample to see the results from your random sample of 40 customers Take Sample Sample size 0 Point estimate Population standard deviation 0 Critical value Compute 0 00 Enter the values of the sample size the point estimate for the population mean the population standard deviation and the critical value you need for your 95 confidence interval Choose the correct critical value from the table of critical values provided When you are done select Compute 0 00 Number of customers 40 2 00 Sample mean 3 81 4 00 Standard error Sample standard deviation Margin of error 95 confidence interval 95 confidence interval 5 00 2 65 6 00 b Based on your sample graph the 95 confidence interval for the population mean of the wait times in the drive thru for all customers Enter the lower and upper limits on the graph to show your confidence interval For the point enter the restaurant chain s claim of 3 93 minutes O No the confidence interval does not contradict the claim The restaurant chain s claim of 3 93 minutes is inside the 95 confidence interval O No the confidence interval does not contradict the claim The restaurant chain s claim of 3 93 minutes is outside the 95 confidence interval O Yes the confidence interval contradicts the claim The restaurant chain s claim of 3 93 minutes is inside the 95 confidence interval Population standard deviation 2 91 8 00 Yes the confidence interval contradicts the claim The restaurant chain s claim of 3 93 minutes is outside the are confidence intoral X Critical values 0 005 2 576 0 010 2 326 20 025 1 960 0 050 1 645 0 100 1 282 X c Does the 95 confidence interval you constructed contradict the restaurant chain s claim Choose the best answer from the choices below 10 00 10 00 S S BET M

Use the probability distribution to complete parts a and b below The number of school related extracurricular activities per student Activities 0 1 2 3 4 5 6 7 Probability 0 059 0 124 0 164 0 179 0 209 0 127 0 084 0 054 The mean is 3 3 Round to one decimal place as needed The variance is 3 4 Round to one decimal place as needed The standard deviation is 1 8 Round to one decimal place as needed b Interpret the results The mean is so the average student is involved in typical number of activities per student Round to one decimal place as needed The standard deviation is so th

Given this table about Tuberculosis TB which is a disease that affects the lungs Most Americans are tested for TB when the are young and when they will be working with youth What would the expression P have TB Test negative represent People Tested for TB Have TB Does not have TB Total Test Positive 198 98 Test Negative 2 9702 total 9800 Select one O a Conditional Relative Frequency Ob None of these O c Joint Relative Frequency O d Marginal Relative Frequency 9704

Is there an association between gender and party affiliation Below is a table based on a random sample of 802 adults What is the probability that a randomly selected person is a male democrat Party Affiliation Female Male Total Republican 105 115 Democratic Independent 150 179 Total 397 Select one O a 31 O b 13 OC 41 O d 26 253

In a baseball tournament consisting of twelve teams in which each team plays every other team once how many games will there be Select one O a 24 O b 720 O C 15 O d 66

Complete parts a and b below The number of dogs per household in a small town Dogs 0 2 Probability 0 674 0 077 1 0 207 H 3 0 023 4 0 012 5 0 007 a Find the mean variance and standard deviation of the probability distribution Find the mean of the probability distribution Round to one decimal place as needed

A committee of 5 members is to be selected from 6 seniors and 4 juniors Fine the number of ways in which this can be done if the committee has at least 1 junior Select one O a 246 O b 252 120 O C O d 6

From a group of 6 girls and 7 boys how many 5 member committees consist of 3 boys and 2 girls Select one O a 125 O b 525 O c 240 O d 420

Use the probability distribution to complete parts a through d below The probability distribution of number of televisions per household in a small town X 0 1 3 P x 0 05 0 17 0 46 2 0 32 a Find the probability of randomly selecting a household that has one or two televisions The probability is 0 Type an integer or a decimal Do not round

ng the data given below determine whether it would unusual for a household to have no HD televisions The number of televisions HD per household in a small town Televisions 0 1 2 3 Households 26 434 1404 0 010 0 167 0 540 P x Choose the correct answer below 736 0 283 OA It would be unusual because the probability of having no HD televisions is less than 0 05 B It would not be unusual because the probability of having no HD televisions is more than 0 05 OC It would be unusual because 26 people have no HD televisions in the town OD It would not be unusual because 26 people have no HD televisions in the town

Which of the following is an example of qualitative data The contents of the stomach are mixed every 20 seconds The plant s height is 25 centimeters cm O The temperature decreased from 20 C to 15 C The six pairs of robins hatched an average of three chicks The fish swam in a zigzag motion

The temperature at which an alligator s egg is incubated will determine the sex of the offspring The dependent and the independent variables in this experiment are temperature and sex of the baby alligator respectively sex of the baby alligator and ter ter gerature respectively size of the incubator and size of the baby alligator respectively O number of offspring and temperature in the incubator respectively

Here is data with y as the response variable X 55 1 50 6 83 9 57 6 95 2 51 2 1 81 54 2 69 7 y 65 7 15 d Is this outlier an influential point 88 7 40 1 238 9 1 25 6 18 9 4 6 21 4 a Make a scatter plot of this data Which point is an outlier Enter as an ordered pair e g x y x y b Find the regression equation for the data set without the outlier Enter the equation of the form mx b rounded to three decimal places wo c Find the regression equation for the data set with the outlier Enter the equation of the form mx b rounded to three decimal places w Yes the outlier appears to be an influential point No the outlier does not appear to be an influential point

Now fill in the missing probabilities Start F Check Clear Help del Laivo unl E E Now we can use the tree above answer the original question If Hugo or any other player for that matter tests positive what is the probability that he uses steroi

ble below to find the standard deviation of the following data set est three decimal places of accuracy at each step 10 23 27 28 42 48 X 10 23 27 28 42 48 X F SUM SUAL N 1 SUM N 1 X 2 3 2 Measures of Variation Proble 3 User Settings Grades Problems Problem 1 V Problem 2 Problem 3 Problem 4 Problem 5 Problem List Next Problem 1 paint For each of the given the data sets below calculate the means a standard deviation Previous Problem a 53 41 55 46 41 57 mean b 2 6 43 46 5 4 1 4 4 mean c 12 9 17 20 3 mean standard deviation standard deviation standard deviation Note You can earn partial credit on this problem Preview My Answers Submit Answers You have attempted this problem 0 times she remaining

The table below show data that has been collected from different fields from various farms in a certain valley The table contains the grams of Raspberries tested and the amount of their Vitamin C content in mg Find a linear model that express Vitamin C content as a function of the weight of the Raspberries grams 55 65 75 85 95 105 115 Vitamin C content in mg 11 9 16 1 21 2 25 5 30 33 9 38 4 A Find the regression equation y x Round your answers to 3 decimal places B Answer the following questions using your un rounded regression equation If we test 145 grams of raspberries what is the expected Vitamin C content nearest tenth mg round to the

The following bivariate data set contains an outlier X y 44 2 4908 1 73 9 2459 7 59 3 4039 8 50 7 572 4 31 8 2301 9 49 3 1306 4 20 2 46 32 6 9 3 41 7 13 7 21 3 66 2 267 7 1777 399 3839 4 3850 4 336 9 1170 4 1186 6 646 7 30883 5 What is the correlation coefficient with the outlier Tw Round your answer to three decimal places What is the correlation coefficient without the outlier wo Round your answer to three decimal places Would inclusion of the outlier change the evidence for or against a linear correlation No Including the outlier does not change the evidence regarding a linear correlation Yes Including the outlier changes the evidence regarding a linear correlation Question for thought Would you always draw the same conclusion with the addition of an outlier

Previous Baseball regression line prediction Suppose the regression line for the number of runs scored in a season y is given by 780 6200x where x is the team s batting average a For a team with a batting average of 0 235 find the expected number of runs scored in a season Round your answer to the nearest whole number b If we can expect the number of runs scored in a season is 460 then what is the assumed team s batting average Round your answer to three decimal places

The following table shows retail sales in drug stores in billions of dollars in the U S for years since 1995 Year Retail Sales 0 3 6 9 12 15 85 851 108 426 141 781 169 256 202 297 222 266 Let F t be the retails sales in billions of dollars in t years since 1995 A linear model for the data is F t 9 44t 84 182 220 210 200 190 180 170 160 150 140 130 120 110 100 90 804 12 Use the above scatter plot to decide whether the linear model fits the data well The function is a good model for the data The function is not a good model for the data Estimate the retails sales in the U S in 2014 billions of dollars Use the model to predict the initial year in which retails sales will be 238 billion

In the following data a is the average number of hours the student spent working on math each week and y is the final grade in a math class hours week X 5 5 8 8 9 9 11 14 16 16 Grade y 45 46 69 2 56 2 68 6 69 6 67 4 84 6 83 4 98 4 The line of best fit is y 3 92 x 29 24 What is the predicted value for the final grade when a student spends an average of 12 hours each week on math Grade Round to 1 decimal place

Let represent the profit or loss for a certain company years after 1980 Based on the data shown below a statistician calculates a linear model y 2 49x 51 37 x Y 2 46 05 3 42 86 4 40 27 5 39 18 6 37 89 7 34 4 8 31 31 9 30 12 10 25 93 11 23 04 12 22 95 13 21 16 14 15 37 15 12 88 16 11 59 17 8 1 Use the model to estimate the profit in 1987 Round to the nearest cent

An experiment is run The mass of an object is recorded over time Time min 14 17 19 24 30 Plot the points in the grid below 50 45 40 35 30 25 20 15 10 Mass g 26 25 16 14 12 5 5 10 15 20 25 30 35 40 45 50 Clear All Draw Dot Using your calculator run a linear regression to determine the equation of t