Using data from 82 subjects, a cancer epidemiologist studied the relationship between a particular "lung cancer risk score" (y) that ranges from 0 to 150 and a specificbiomarker (x). A simple linear regression analysis gave the following output:
= 10, SE() = 2, = 2.5, SE() = 0.75, =5.
Also, a 95% confidence interval for α is (6, 14), and for β it is (1,4).
(a) Write down the estimated regression line.
(b) Obtain a point estimate of the difference between average risk scoresfor two people who have biomarker values that differ by 5 units.
(c) Is there a statistically significant association between the biomarker andcancer risk score? Explain.
(d) What biomarker value is expected for people with risk score of 100?