Question

The number of hours studied, x, is compared with the grade received, y.

x	5	7	1	6	5
y	85	85	75	95	60

(a) Complete the preliminary calculations: SS(x), SS(y), and SS(xy).
(SS(x))
(SS(y))
(SS(xy))

(b) Find r. (Give your answer correct to three decimal places.)

Answer 1

(a)

We observe that we have 5 (x,y) pairs, thus n = 5.

Now, before we find SS(x), SS(y) and SS(xy), we find:

Now, we find the desired quantities:

(b)

The correlation coefficient between x and y is given by:

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