# 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?

## Answer to relevant Questions

Refer to Data Set 7 in Appendix B and use the sex, age, and weight of the bears. For sex, let 0 represent female and let 1 represent male. Letting the response (y) variable represent weight, use the variable of age and the ...The table lists the cost y (in dollars) of purchasing a volume of red landscaping mulch from the Red Barn Farm and Nursery in Dutchess County, New York. The mulch is sold by the “yard,” which is actually a cubic yard, ...In a carefully controlled experiment, bacteria are allowed to grow for a week. The number of bacteria are recorded at the end of each day with these results: 20, 40, 80, 160, 320, 640, 1280. Construct a scatterplot and ...Refer to the table of data given in Exercise 1 and use the durations and heights. a. Construct a scatterplot. What does the scatterplot suggest about a linear correlation between duration and height? b. Find the value of the ...The members of Congress have these religious affiliations: Catholic (156), Jewish (39), Protestant (304), Mormon (15), other (15). There were six members of Congress who did not specify a religious affiliation, and the data ...Post your question