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1. There are two ways in which Pearson\'s \'r\' and Spearman\'s \'p\' can have e

ID: 3314802 • Letter: 1

Question

1. There are two ways in which Pearson's 'r' and Spearman's 'p' can have exactly the same value. Under what circumstances does this happen and what are the values?

2. A small college selected 120 students at random from the freshmen class and measure their GPA at the end of their freshman year(Y, range = 0 to 4) and their ACT score (X, range 0 to 36). The estimated regression line was Y= -0.15 +0.115X

A. Would it be appropriate to interpret the intercept in term of the problem? Explain.

B. A researcher wants to use this model on students at a large university. Would you recommend this? Explain.

Explanation / Answer

2;

Intercept is : -0.15

It shows that when ACT score is zero, the GPA is -0.15.

It is meaningless in this case.

B)

No becuase sample is collected only from one college so it may not represent the university population correctly.