# Question: A confidence interval for the regression coefficient 1 is expressed

A confidence interval for the regression coefficient β1, is expressed as β1 — E < β1< b1 + E where E = tα/2sb1 The critical t score is found using n — {k + 1) degrees of freedom, where k, n, and sb1 are described in Exercise 17. Use the sample data in Table 10-4 and the Minitab display in Example 1 to construct 95% confidence interval estimates of β1 (the coefficient for the variable representing height of the mother) and (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?

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