Sunlight in Colorado is strongly correlated with visitors to Tokyo Disneyland, r

Question

Sunlight in Colorado is strongly correlated with visitors to Tokyo Disneyland, r = 55. Predict the z-score of the visitors to Tokyo Disneyland when the sunlight in Colorado is 65 SDs below the mean. A) What is the predictor variable? ___ B) What is the criterion variable? ___ C) What is the z-score for the X variable? ___ D) What is the z-score for the Y variable?___ Rainfall in Oklahoma is moderately correlated with the number of Chemical Engineering awarded in the US, r = 33. Predict the z-score of the number of Chemical Engineering awarded in the US when the rainfall in Colorado is 2.13 SDs below the mean.

Explanation / Answer

2. From information given, Z score in Colorado, Zc=-0.65, Pearson product moment correlation, r=0.55. Find the Zscore for visitor in Tokyo disneyland, Zt.

Substitute the values in following formula.

r=(Zx*Zy)/n-1, where, Zx denote Z score for x variable, Zy denote Z score for y variable, and n is number of paired samples.

0.55=(-0.65)*(Zt)/(n-1)

0.55(n-1)/(-0.65)=Zt

-0.85(n-1)=Zt (Ans)

A. The predictor variable is the independent variable which influences the outcome or response variable. The predictor variable in question is sunlight in Colorado.

B. The critera variable is otherwise known as dependent or response variable, which is predicted. The criteria variable is visitors in Tokyo disneyland.

C. Z score for X variable (sunlight in Colorado) is Zx=-0.65.

D. Z score for Y variable (number of visitors) is Zy= -0.85(n-1), where n denotes number of paired samples.

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