The following table presents math and verbal SAT scores for six freshmen.

a. Compute the correlation coefficient between math and verbal SAT score.

b. Compute the mean x̄ and the standard deviation sx for the verbal scores.

c. Compute the mean ȳ and the standard deviation sy for the math scores.

d. Compute the least-squares regression line for predicting math score from verbal score.

e. Compute the z-score for each x-value:

f. Compute the z-score for each y-value:

g. Compute the correlation coefficient r between zx and zy. Is it the same as the correlation between math and verbal SAT scores?
h. Compute the least-squares regression line for predicting zy from zx. Explain why the equation of the line is ̂zy = r zx.

Transcribed Image Text:

Verbal (x) 428 386 653 316 438 323 Math (y) 373 571 686 319 607 440