4 (io marks) The following table gives information on wie smunt of sugar (in grams) and the colone coumt in ona ververs. of a sample of 13 varieties of Kelhogrs ceren. The regression equation of the number of calories on the amount of sugar is \( g=82.2548+5.1361 x \) whitere \( x \) is amount of sugar (in grams) and \( y \) is calories. The correlation coefficient is \( r=0.6239 \). a. Interpret the slope in the context of the problem. \( (3 \) marks) b. Calculate the predicted calorie count for a cereal with \( 15 \mathrm{~g} \) of sugar per serving and give the residual. 3 marks) c. What percentage of the variation in the calories is explained by the regression on sugan (2 maris) If you buy a cereal with 30 grams of sugar, is it possible to find its predicted calories using the regression equation? If yes, find \( i t \). If no, explain why. \( (2 \) marks)