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In a study, nine tires of a particular brand were driven on a track under identi

ID: 3126648 • Letter: I

Question

In a study, nine tires of a particular brand were driven on a track under identical conditions. Each tire was driven a particular controlled distance (measured in thousands of miles), and the tread depth was measured after the drive. Tread depth is measured in “mils.” Here, 1 mil is 0.001 inch. The least-squares regression line was computed, and added to a scatterplot of these data. On the plot, one data point is marked with an “X”.

The equation of the least-squares regression line is: tread depth = 360.64 - 11.39x (thousands of miles)

r^2= 0.953

We might be comfortable using the least-squares regression equation to predict thread depth for a tire drive:

B.roughly between 0 and 50 thousand miles.

C.more than 50 thousand miles.

D.I chose roughly between 0 and 30 thousand miles and it marked wrong. I don't know if roughly 0-50 thousand miles would work because it will be extrapolation, and it should be avoided.
cannot be determined from the information provided.

A. roughly between 0 and 30 thousand miles.

Explanation / Answer

Solution :

   Tread Depth = 360.64 – 11.39x (thousands of miles)

  Tread Depth = 360.64 – 11.39 (16) = 178.4 miles

A. roughly between 0 and 30 thousand miles.
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