Question

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Please type the answer！！

A study of the relation between a daughters height and that of her mother and father examined data from n=20 cases and found the following linear regression equation: y=25.6+.377x1+.195x2, where y is the daughter’s height, x1 is the mother’s height, and x2 is the father’s height, with all heights measured in inches. Predict the height of a daughter whose mother height is 64 inches and whose father’s height is 70 inches. Find a 95% confidence interval B2 given the SEb2 = .585.

Please type the answer！！

Please type the answer！！

Please type the answer！！

Please type the answer！！

Answer 1

The linear regression equation is y=25.6+.377x1+.195x2

The height of a daughter whose mother height is 64 inches and whose father’s height is 70 inches

is  y=25.6+.377 * 64+.195 * 70 = 63.378 inches

Degree of freedom of t statistic, df = n - k - 1 where k is number of predictors

= 20 - 2 - 1 = 17

Critical value of t for 95% confidence interval and df = 17 is 2.11

Estimated value of B2 = 0.195

95% confidence interval of B2 is,

(0.195 - 2.11 * 0.585, 0.195 + 2.11 * 0.585)

= (-1.03935, 1.42935)