The calculations involved in a regression analysis become increasingly tedious with larger data sets. Access to a computer proves to be of considerable advantage. We repeat here a computer-based analysis of linear regression using the data of Example 4 and the MINITAB package.
The sequence of steps in MINITAB:

produces all the results that are basic to a linear regression analysis. The important pieces in the output are shown in Table 10.
Compare Table 10 with the calculations illustrated in Sections 3 to 6. In particular, identify:
(a) The least squares estimates.
(b) The SSE.

(d) The t statistics for testing H0: β0 = 0 and Ho:β1 = 0.
(e) r2.
(f) The decomposition of the total sum of squares into the sum of squares explained by the linear regression and the residual sum of squares.

Data: CI113 CI:33 45667889 C2:9512 914 1622 18 24 22 Dinlog box: Stat s Regression Regression Type C2 in Response Type Cl in Prvdctors ack OK. A) and