12.15 Strength through leg press The high school female athlete strength study also considered prediction of y = maximum leg press (maxLP) using x = number of 200-pound leg presses (LP200). MINITAB results of a regression analysis are shown.

a. Show all steps of a two-sided significance test of the hypothesis of independence.

b. Use the quoted se to find and then interpret a 95% confidence interval for the true slope. (Hint:
t0.025 = 2.00.) What do you learn from the interval that you cannot learn from the significance test in part a?

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Regression Equation maxLP 233.9+5.271 LP200 Term Coef SE Coef T-Value P-Value Constant 233.9 13.1 17.90 0.000 LP200 5.271 0.547 9.64 0.000