Compute the r

Five paired observations:

xx 1 2 3 4 5
yy 10 9 7 6 3

With xˉ=3\bar x = 3 and yˉ=7\bar y = 7: ∑(x−xˉ)(y−yˉ)=−17\sum (x - \bar x)(y - \bar y) = -17, ∑(x−xˉ)2=10\sum (x - \bar x)^2 = 10, ∑(y−yˉ)2=30\sum (y - \bar y)^2 = 30.

Using r=∑(x−xˉ)(y−yˉ)∑(x−xˉ)2  ∑(y−yˉ)2r = \dfrac{\sum (x - \bar x)(y - \bar y)}{\sqrt{\sum (x - \bar x)^2 ; \sum (y - \bar y)^2}}, what is rr?

A

About +0.98+0.98: correlation is reported as a strength, and the sign is carried separately by the slope.

B

About −0.98-0.98: the points sit very close to a falling straight line.

C

−4.25-4.25, the sample covariance −17/4-17/4, which is what the correlation coefficient reports.

D

About −0.57-0.57, from −17/30-17/30, dividing by the spread of yy.