Calculating standard error and least square regression.
A doctor wanted to determine whether there is a relation between a
male's age and his HDL (so called good) cholesterol. He randomly selected 17 of his patients and determined their cholesterol.
a. Determine the least-squares regression equation from the sample
b. Compute the standard error of y'
c. Compute the standard error of the slope "b" (note y' = a + bx)
d.Construct a 95% confidence interval about the slope.
e. Suppose a 42 year old man vists the doctor's office. What would be a good guess as to the HDL cholesterol of this patient?© SolutionLibrary Inc. solutionlibary.com 9836dcf9d7 https://solutionlibrary.com/statistics/correlation-and-regression-analysis/calculating-standard-error-and-least-square-regression-3da
...13 and a= mean(Y)-b mean(X)=44.94-45*-0.13 = 50.78
b) y' is actually the coefficient b=-0.13
Let e = Y-mean (Y)
The standard error =SQRT[e^2/(n-1)]= SQRT[1526.94/16]= ...