The following data pertain to x, the amount of fertilizer (in pounds) that a farmer applies to his soil, and y, his yield of wheat (in bushels per acre):

Assuming that the data can be looked upon as a random sample from a bivariate normal population, calculate r and test its significance at the 0.01 level of significance. Also, draw a scattergram of these paired data and judge whether the assumption seems reasonable.

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y-292 38 3 3 3 3 2 1 2 2 331233212 1327272 88 48 61 x-3274. 3 2 8 4 6 7 1 y 24 7 3 45 40 29 12 27 40 26 21312421242 x-88 4 2 3 5 11 69 19 16104 38875187207 323133 3321 x-112 92 72 66 12 88 42 26 72 52 28 -976184275