Critical Thinking on Interpreting Computer Printouts

We use the formwidth== a + bx for the . In some computer printouts, the leastsquares equation is not given directly. Instead, the value of the constantais given, and the coefficientbof the explanatory or predictor variable is displayed. Sometimesais referred to as the constant, and sometimes as the intercept. showed the following relationship between elevation (in thousands of feet) and average number of per year in Colorado locations. A

A Minitab printout provides
Predictor Coef SE Coef T P
Constant 318.16 28.31 11.24 0.002
Elevation -30.878 3.511 -8.79 0.003
s = 11.8603 R-Sq = 96.3%

(a) Use the printout to write the least-squares equation.

(b) For each 1000-foot increase in elevation, how many are predicted?

(c) The printout gives the value of the coefficient of determinationr2. What is the value ofr? Be sure to give the correct sign forrbased on the sign ofb.

(d)InterpretationWhat percentage of the variation inycan beexplainedby the corresponding variation inxand the least-squares line? What percentage isunexplained?

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