16. In a study, nine tires of a particular brand were driven on a track under id

Question

16. 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." 10 15 20 25 30 les(x 1000) The equation of the least-squares regression line is: Tread depth-360.64-11.39x (thousands of miles) Also, 0.953. For every 10,000 miles driven, the decrease in tread depth (in mils) can be estimated as: 246.74 mils 360.64 mils 275.6 mils. 113.9 mils.

Explanation / Answer

Solution- Here in our model we have following regression equation-

Tread depth = 360.64 -11.39x (thousands of miles)

When x = 10 ie. 10000 miles

then change in tread depth = 10*11.39

= 113.9 mils

Answer

TY!

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