Problem #4 (20 pts). On average, do people gain weight as they age? We provide some...

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Problem #4 (20 pts). On average, do people gain weight as they age? We provide some summary statistics for both age (x) and weight (y). n=250 2y=44520.80 = 11211.00 2 ) =8110405.02 x=543503.00 Ex,y, = 1996904.15 (a) Calculate the least squares estimates of the slope and intercept. (b) Use the equation of the fitted line to predict the weight that would be observed, on average, for a man who is 25 years old. (c) Suppose that the observed weight of a 25-year-old man is 170 lbs. Find the residual for that observation. (d) Was the prediction for the 25-year-old in part (c) an overestimate or underestimate? Problem #4 (20 pts). On average, do people gain weight as they age? We provide some summary statistics for both age (x) and weight (y). n=250 2y=44520.80 = 11211.00 2 ) =8110405.02 x=543503.00 Ex,y, = 1996904.15 (a) Calculate the least squares estimates of the slope and intercept. (b) Use the equation of the fitted line to predict the weight that would be observed, on average, for a man who is 25 years old. (c) Suppose that the observed weight of a 25-year-old man is 170 lbs. Find the residual for that observation. (d) Was the prediction for the 25-year-old in part (c) an overestimate or underestimate?