Question

A high school guidance counselor is interested in the association between proximity to school and participation in extracurricular activities. He collects the following data on distance from home to school (in miles) and number of clubs joined for a sample of 10 students: Student | Miles to school | Number of clubs ---------------------------------------------- Lanny | 4 | 3 JoJo | 2 | 1 Twilla | 7 | 5 Rerun | 1 | 2 Ginny | 4 | 1 Stevie | 6 | 1 George | 9 | 9 Ruth | 7 | 6 Carol | 7 | 5 Dave | 10 | 8 The counselor finds a correlation coefficient of 0.84. Provide an interpretation for the correlation coefficient (state both direction and strength of association). What does this coefficient say about the relationship between proximity to school and participation in extracurricular activities at the population level? Using an alpha of 0.05, he determined a t-obtained of 4.387 and a t-critical of 2.306. What do these numbers indicate?

          A high school guidance counselor is interested in the association between proximity to school and participation in extracurricular activities. He collects the following data on distance from home to school (in miles) and number of clubs joined for a sample of 10 students:

Student    | Miles to school | Number of clubs
----------------------------------------------
Lanny      | 4               | 3
JoJo       | 2               | 1
Twilla     | 7               | 5
Rerun      | 1               | 2
Ginny      | 4               | 1
Stevie     | 6               | 1
George     | 9               | 9
Ruth       | 7               | 6
Carol      | 7               | 5
Dave       | 10              | 8

The counselor finds a correlation coefficient of 0.84. Provide an interpretation for the correlation coefficient (state both direction and strength of association). What does this coefficient say about the relationship between proximity to school and participation in extracurricular activities at the population level? Using an alpha of 0.05, he determined a t-obtained of 4.387 and a t-critical of 2.306. What do these numbers indicate?

Added by Richard G.

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