Question

Project I Checking Your Progress – Correlation Two “judges” have been asked to rate independently the pictures of eight individuals in terms of attractiveness on a scale of 1 to 10. Here are the ratings: Picture Judge A Judge B 144 222 342 412 575 656 767 888 Find the correlation between the ratings, and test it for significance. Name: _____________________________________ Judge A mean: Judge B mean: Sum of squares for Judge A ratings: Sum of squares for Judge B ratings: Judge A standard deviation: Judge B standard deviation: Sum of the cross products: Covariance: Value for Pearson r: Critical value for Pearson r (two-tailed, alpha .05): The p-value associated with this Pearson r: Should you reject the null hypothesis? Coefficient of determination: ____________ ____________ ____________ ____________ ____________ ____________ ____________ ____________ ____________ ____________ ____________ ____________ ___________

Answer 1

Sum of squares for Judge A ratings: 221218

Sum of squares for Judge B ratings: 251987

Judge A standard deviation: 271.5499

Judge B standard deviation: 289.8201

Sum of the cross products: 235822

Covariance: 78607.33

Value for Pearson r: 0.998815

Critical value for Pearson r (two-tailed, alpha .05): 0.950

The p-value associated with this Pearson r: 0.0012

Should you reject the null hypothesis? Yes

Coefficient of determination: 0.997631