Inference for Linear Regression

12.1 Sampling Distribution of b You may have heard that your nose and ears grow through your whole life. While it is true that your nose and ears get bigger throughout life, it's not because they grow, but because of gravity. The cartilage in your nose and ears break down as we age and the "growth" people observe is the result of drooping. To quantify the expansion of ears over time, a random sample of 30 adults were selected. For each adult, their age (in years) was recorded and their ear height (cm) was measured. Below is the regression output. Is there evidence of a positive linear relationship between age and ear height? Assume the conditions for inference are met. Regression Analysis: Age versus Ear Height Predictor Coef SE Coef P Constant 2. 8871 0. 3145 9. 1800 0 . 0000 Age 0. 0021 0. 0059 0. 3559 0. 7246 3 = 0. 3613 R-Sq = 0. 825 R-Sq(adj ) = 0.918 a. What is the estimate for a? Interpret this value. b. What is the estimate for B? Interpret this value. c. What is the estimate for o? Interpret this value. d. Give the standard error of the slope SEb. Interpret this value