Please show your work to explain how you arrived at the solution to the following:

A researcher wonders if there is a correlation between (X) people's opinions of bilingual education and (Y) their opinions about whether naturalized American citizens should be allowed to run for president. She collects the following data, with both variables being measured on a scale from 1 to 9 (1 being strongly opposed an 9 being strongly in favor).

X Y

2 1

5 4

8 9

6 5

1 1

2 1

8 7

3 2

a. Calculate a Pearson's correlation coefficient and determine whether the correlation is significant.

1. What is the value of SP?
2. What is the value of SSx?
3. What is the value of SSy?
4. What is the value of r?

b. Describe the relationship between these two variables. In other words, from a substantive standpoint, what does your calculation of Pearson's r tell you?

c. Is the correlation between these two variables statistically significant? Explain how you know.