L7

In this section of the lab, you will take existing summary data and use it to calculate the Pearson Correlation Coefficient. The summary data you see below were part of the correlation you started to calculate in Homework 9. In this study, researchers are interested in the relationship between algebra quiz scores and statistics quiz scores. The data from six students appears in the table below.

Student	Algebra (M= 5)	Statistics (M= 3)
A	6	4
B	3	1
C	5	0
D	6	7
E	4	2
F	6	4

Upon calculating SS for each variable and SP, the researchers find thatr= 0.688when they use the Pearson Correlation formula Use this information to complete the following questions

1. A scatterplot of the data that are being analyzed in this correlation. You may draw it by hand or create it in a software program (e.g., SPSS, Excel). Be sure to label each axis in your figure. (1.5 points)

2. Describe the form, direction, and strength of the correlation (1.5 points)

3. Use the data provided to calculater², the coefficient of determination (1 point

)4. Explain what the coefficient of determination means in this study (.5 point)

5. Calculates_rthe standard error of ther(1 point; show work to earn full credit)

6. Calculate thetstatistic for ther(1 point; show work to earn full credit)

7. What df are used in the Pearson Correlation? (1 point)

8. What criticaltwould we use to comp1ete this hypothesis test? (1 point)

9. Do we have a statistically significant relationship between algebra and statistics quiz scores? Explain your answer (1 point)Interpreting Correlations in a Forgiveness and Empathy Study In this section of the lab, we will explore a series of correlations that are used to answer a simple research question.