Tools Table Window Help , 6796 i. Hw5(1) References Mailings Review View AaBbCcD
ID: 3311130 • Letter: T
Question
Tools Table Window Help , 6796 i. Hw5(1) References Mailings Review View AaBbCcDdEe AaBbCcDdEe AaBbC Noma No Spacing Heading 4. For the data below, do the following: Times Per Weck Eat Fast Food Body Mass Index (BMI) 25 29 30 31 24 31 32 37 Calculate a regression coefficient and intercept for the regression of BMI (Y) on times per week eating fast food (X). a. b. Interpret the values you calculated for the regression coefficient and intercept. c. The coefficient of determination (r2) for this regression is 0.64. Interpret this value. h (US)Explanation / Answer
(a) Slope (regression coefficient) = 0.9231 and Intercept = 25.3077
(b) The BMI increases by 0.9231 for every unit increase in the times per week of eating fast food. If fast food is not consumed, the BMI is 25.3077
(c) 64% of the variation in Y is explained by this regression model.
Regression Analysis r² 0.644 n 9 r 0.803 k 1 Std. Error 2.958 Dep. Var. Y ANOVA table Source SS df MS F p-value Regression 110.7692 1 110.7692 12.66 .0092 Residual 61.2308 7 8.7473 Total 172.0000 8 Regression output confidence interval variables coefficients std. error t (df=7) p-value 95% lower 95% upper std. coeff. Intercept 25.3077 0.000 X 0.9231 0.2594 3.559 .0092 0.3097 1.5365 0.803