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 afterward the tread depth was measured. 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". This data point will be referenced in Question3. The equation of the least-squares regression line is: Tread Depth = 360.64 - 11.39x (thousands of miles) Also, r^2 = 0 953. Which of the following is TRUE? The correlation between tread depth and miles is 0.976. The correlation between tread depth and miles is -0.953 The correlation between tread depth and miles is -0.976. The correlation between tread depth and miles is 0.953.

Explanation / Answer

From The above diagram we conclude that there is a negative correlation between trend depth and miles.

The regression equation is

y=360.64 -11.39(x)

since slope is negative we can saythat there is a negative correlation between trend depth and miles.

and R2 = 0.953

Then the correlation coefficient is= sqrt(0.953) =0.976

since it is negative correlation r= -0.976

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