The following is output from a simple regression analysis Us

The following is output from a simple regression analysis. Use the regression output info below to answer the e & f. a. slope = 35.91623 b. intercept = 7.209424 c. = coefficient of correlation (r) = 0.988909 d. = Coefficient of Determination (r^2) e. Is the overall model significant? (yes or no) - what is this assessment based on? f. Is the independent variable significant (yes or no)? - what is this assessment based on?

Solution

e) the model is significant(yes)

as there is incresing trend in regression line as the slope is 7.209424 then if add one observation as the independent variable then it effects response variable by 7.209424

f) independent variable significant (yes )

as because the correlation value is very high