Confidence Interval for a Regression Coefficient A confidence interval for the

Chapter 10, Problem 18

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Confidence Interval for a Regression Coefficient A confidence interval for the regression coefficient 1 is expressed as b 1 E < 1 < b 1 + E where E = t / 2 s b 1 The critical t score is found using n ( k + 1 ) degrees of freedom, where k, n, and s b 1 are described in Exercise 17. Use the sample data in Table 104 and the Minitab display in Example 1 to construct 95% confidence interval estimates of 1 (the coefficient for the variable representing height of the mother) and 2 (the coefficient for the variable representing height of the father). Does either confidence interval include 0, suggesting that the variable be eliminated from the regression equation?