SOLUTION: 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 mile

Algebra ->  Statistics  -> Scatterplots-graphs -> SOLUTION: 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 mile      Log On


   



Question 1104771: 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)
Also, r2 = 0.953. We might feel comfortable using the least-squares regression equation to predict tread depth for a tire driven:

Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
on the test track, i would probably say yes, with some caveats explained in the following reference.

in the real world, where conditions can vary considerably from the test track conditions, you might find that the r^2 is less, meaning that the formula may not model the reality as closely.

http://blog.minitab.com/blog/adventures-in-statistics-2/regression-analysis-how-do-i-interpret-r-squared-and-assess-the-goodness-of-fit