For the data sets below, calculate the following. The covariances xy and s xy . The

For the data sets below, calculate the following.

The covariances σ_xy and s_xy.

The correlation between x and y.

The linear regression line. Use matrix regression.

The square of the standard error, s²_e.

Illustrate at least one of them with a regression line and data points.

(a) D = {(85, 221.5), (103, 146.1), (98, 262.6), (94, 139.8), (90, 189), (80, 126), (75, 146.5), (102, 221.4), (107, 252.9), (102, 121.4)}.

(b) D = {(5.65, 2.64), (15.62, 9.03), (−2.96, −1.19), (1.29, 2.02), (3.84,−1.82)}.

(c) D = {(28, 24), (66, 69), (44, 48), (39, 44), (9, 9), (1, 15), (73, 64), (41, 44)}.

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