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A scientist is studying the relationship between wind velocity ( x ) and DC outp

ID: 3379170 • Letter: A

Question

A scientist is studying the relationship between wind velocity (x) and DC output of a windmill (y). The following MINITAB output is from a regression analysis for predicting yfrom x.

88.3% of the total variation in x is accounted for by regression on y

There is no linear relationship between x and y

88.3% of the total variation in y is accounted for by regression on x

Since the coefficient of determination is higher, there is no linear relationship between x and y

A scientist is studying the relationship between wind velocity (x) and DC output of a windmill (y). The following MINITAB output is from a regression analysis for predicting yfrom x.

  Predictor   Coef      SE Coef        T      P      Constant   -0.1346    0.1803      -0.75   0.470  x          0.28996    0.03050      9.51   0.000      S = 0.2435   R-Sq = 88.3%  R-Sq(adj) = 87.3%  
Which of the following statements is true?

Explanation / Answer

Option C is true. Because R-square is 88.3%. It shows, that 88.3% of the total variation in y is accounted for by regression on X.

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