8 The calories and sugar content per serving size of ten brands of breakfast cereal are fitted with a least squares regression line with computer output: (a) Is a line an appropriate model. Explain. (b) Interpret the slope of the regression line in context. (c) Interpret the y-intercept of the regression line in context. (d) What are the predicted calories for a brand with 10 g sugar per serving? Residuals + 0 + 9 12 15 Sugar (g) Dependent variable is: Calories s=6.544 R-sq=77.9% R-sq (adj)=75.2% df SS Regression 1 1210.08 Residual Source MS F 2.74239 1210.08 8 342.547 42.8184 Variable Coef s.e. Coef t Constant 78.3275 Sugar 28.3 4.117 19 P 0.0001 0.5159 (e) What were the actual calories for the brand with 10 g sugar 5.32 0.0007 per serving?