Until Barry Bonds broke the record in 2007, Henry Aaron held the record for the greatest number of home-runs hit in the major leagues. The table below shows his cumulative yearly record over the course of his career from 1954-1973, where the independent variable denotes the time $t$ in years since 1953 ($t=1$ corresponds to 1954), and the dependent variable $H$ denotes Aaron's cumulative home run total.

(a) Use a calculator or computer to find the least squares regression line, $H = mt + b$. Enter the equation for the line below.
$H =$

(b) Based on your answer above, approximately how many home runs did Aaron average per season? (round to the nearest whole number)
home runs per season.

(c) Based on your answer to (b), assuming Aaron continues to hit home runs at this pace, approximately how many total (cumulative) home runs do you think Henry Aaron hit in:
1974? home runs
1975? home runs
1976? home runs
(Round each to the nearest whole number.)

(d) In actuality, Aaron had a total of 755 home runs when he retired in 1976. On a separate piece of paper, explain why your answer for the total in 1976 in part (c) is not an accurate prediction.