a. Use the Pearson correlations in Table 3.5 and the standard deviations from Table A.1 to compute the covariance matrix [S] for the four temperature variables in Table A.1. b. Consider the average...

a. Use the Pearson correlations in Table 3.5 and the standard deviations from Table A.1 to compute the covariance matrix [S] for the four temperature variables in Table A.1.

b. Consider the average daily temperatures defined by the two linear combinations:

y₁
= 0.5 (Ithaca Max) + 0.5 (Ithaca Min)

y₂
= 0.5 (Canandaigua Max) + 0.5 (Canandaigua Min)

Find

_y
and [S_y] without actually computing the individual y values.