In an Area of the Midwest, Records Were Kept on the Relationship

Essay

In an area of the Midwest, records were kept on the relationship between the rainfall (in inches)and the yield
of wheat (bushels per acre). Test the significance of the correlation coefficient using α $\alpha$ = 0.01 and the claim ρ $\varrho = 0 .$ $$\begin{array} { l | c | c | c | c | c | c | c | c | c | } \text { Rain fall (in inches), x } & 11 & 9.3 & 13.9 & 13 & 19.3 & 10.8 & 7.5 & 16.1 & 16.5 \\\hline \text { Yield (bushels per acre), y } & 51.5 & 47.2 & 59.8 & 60 & 83.4 & 50.2 & 32.9 & 77 & 79.8\end{array}$$