(a) Make the logarithmic transformations x' log (x) and y'= log (y). Then make a scatter plot of the (x, y) values. Does a

Question

(a) Make the logarithmic transformations x' log (x) and y'= log (y). Then make a scatter plot of the (x, y) values. Does a linear equation seem to be a good fit to this plot?
The transformed data does not fit a straight line well. The data seem to explode as x decreases.
The transformed data does not fit a straight line well. The data seem to explode as x increases.
The transformed data fit a straight line well.
The transformed data does not fit a straight line well. The data seem to have a parabolic shape.

(b) Use the (x, y) data points and a calculator with regression keys to find the least-squares equation y'= a + bx'. What is the correlation coefficient? (Use 4 decimal places.)
y' =
r=
(c) Use the results of part (b) to find estimates for a and ß in the power law y = ax. Write the power equation for the relationship between steam pressure and sheer strength of boiler plate
steel. (Use 4 decimal places.)
R=
B =
ŷ=
11

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