Using data from 82 subjects, a cancer epidemiologist studied the relationship

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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?