Please show work .

An experiment was conducted to find the relationship between time jogging on a treadmill and the number of calories burned. The jogging time and total calories burned for 12 study participants are shown in the table below. Participant Jogging Time (Minutes) x Calories Burned y 35 485 34 449 wo 44 569 41 546 16 167 15 168 8 101 26 398 30 394 10 38 477 11 13 233 12 24 331 Find the following: (a) The correlation coefficient: r = (b) The least squares me: y = (c) If someone jogs for 45 minutes, how many calories would you predict they would burn? (d) Calculate the residual for the ninth study participant