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

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

The least-squares line would predict that the tread depth of a tire driven 16 thousand miles would be:

A. 360.64 mils

B. 260.5 mils

C. -181,879 mils

D. 178.4 mils

Explanation / Answer

Given that,

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

The least-squares line would predict that the tread depth of a tire driven 16 thousand miles would be:

tread depth = 360.64 - 11.39x16

tread depth = 178.4 miles

Option D) is correct.

Related Questions

Navigate

• Browse (All)
• Browse I
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.