Suppose an NFL scout is interested in what physical attributes make for a good quarterback. He collects data on the height and weight of 8 quarterbacks and their performance ratings for the year. The data are summarized in the following table.

Use the MINITAB program to answer the following questions.

(a) Estimate the regression coefficients α, β₁, and β₂ and interpret the results.

(b) Compute the t-values for the coefficients and test the significance of β₁ and β₂.

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Performance rating, y 94.3 83.3 92.3 72.4 69.5 65.8 101.2 77.4 Height (inches), x 73 69 77 75 71 70 76 6 73 Weight (pounds), X 210 185 225 215 190 180 212 195