1. Describe when you would use an ANOVA.
2. Describe when you would use a Pearson's correlation.
3. Describe when you would use a regression.
4. The test statistic for a Pearson's correlation is the Pearson's correlation coefficient and is notated with "r"
   1. What are the possible values for r?
   2. What does a correlation of zero mean in terms of the two variables (X and Y)?
   3. What does a positive correlation mean in terms of the two variables (X and Y)?
   4. What does a negative correlation mean in terms of the two variables (X and Y)?
5. Describe 3 research questions (specific scenarios) that you would use a Pearson's correlation for
6. The university wanted to see if the amount of time students spend in the university library correlates with GPA. They collect the following data:

Person	Time Spent in Library, Hours/Week (X)	GPA (Y)
1	5	2.8
2	6	2.2
3	8	3.2
4	12	3.0
5	18	3.2
6	30	3.8
7	32	3.8

a. What are the degrees of freedom for a Pearson's Correlation?

b. What is the critical value for r?

c. What is the average for Time Spent in Library (X)

d. What is the average for GPA (Y)

e. Complete the following table for data above

Person	Deviation of X from Mx	Deviation of Y from My	Squared Deviation for X variable	Squared Deviation for Y variable	Sum of Products of Deviation (X - Mx)(Y - My)
1
2
3
4
5
6
7

f. What is the Pearson's correlation coefficient?

g. Do we reject or fail to reject the hypothesis?

h. What is the r²

Part 2

1. What is the regression equation (not the formula, the actual equation used to predict new X's) for the data in #5?
2. Complete the following table using the regression equation

Person

Time Spent in Library, Hours/Week (X)

GPA (Y)