Annual high temperatures in a certain location have been tracked for several years. Let X\displaystyle {X} represent the number of years after 2000 and Y\displaystyle {Y} the high temperature. Based on the data shown below, calculate the linear regression equation using technology (each constant to three decimal places).

 

xy
332.43
433.24
531.85
632.96
733.97
833.48
934.19
1033.8
1135.41
1237.22
1334.53
1435.94
1538.05
1635.86