In a study relating rainfall and the yield of wheat, the least-squares regressio

Question

In a study relating rainfall and the yield of wheat, the least-squares regression is performed with the rainfall as the predictor variable. The coefficient of correlation is 0.98. Interpret the coefficient of correlation.

a. Within the scope of the model, seasons with higher rain amounts have lower yields of wheat.

b. Within the scope of the model, seasons with higher rain amounts have higher yields of wheat

c. Within the scope of the model, seasons with higher wheat yields have lower amounts of rain.

d. Within the scope of the model, seasons with higher wheat yields are just as likely to occur in years of high rain as in years of low rain

the answer is C, please explain why it is C

Explanation / Answer

Sorry the answer to this question is b.

Within the scope of the model, seasons with higher rain amounts have higher yields of wheat

The reason is because we have the correlation coefficient 0.98, whichh is positive and near to 1.

positive correlation means when predictor vaiable incereases the criterion variable also follows the same direction, that is it also increases.

when the value is negative when one increases the other decreases.

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