Question

Given The following results from LINEAR REGRESSION Analysis for the variables X and Y Slope= 12.7 y-intercept =3.2 n=10 SE=4.3 The equation of the regression line is …… and 95% confidence interval for the slope is….

(A)Y=3.2+12.7X, and (3.675,12.768)

(B)Y=12.7+3.2X, and (2.784,12.745)

(C)Y=3.2+12.7X, and (2.784,22.616)

Answer 1

The correct option is (C), i.e., and 95% CI for slope is

Given: ; ; ;

The least square regression line is given by

Since then the regression line is given by

confidence interval for the population slope is given by-

or

Critical value: For 95% confidence,

Calculation of 95% confidence interval for popualtion slope parameter:

So the 95% confidence interval for the population slope parameter is calculated as .