Question

In: Statistics and Probability

A high school guidance counselor is interested in the association between proximity to school and participation...

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

Calculate the Pearson's correlation coefficient for the association between distance to school and number of clubs joined by these students. As always, make sure to show all of your work.
Provide an interpretation for the correlation coefficient, making sure to specify what the direction implies. For this problem, first interpret the magnitude of the correlation, then specify what it would mean for club membership if someone lived further from school. (Hint: You should do this for every correlation interpretation.)
Is the correlation statistically significant? Explain your answer, using a hypothesis test. There are two methods: 1) Comparing obtained r to critical r; 2) comparing obtained t to critical t. You should write out the research and null hypotheses in Greek notation.

Expert Solution

t table provided below :

orchestra answered 1 year ago

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