Find the correlation coefficient


Discuss the below:

Q1.You are given the following data.

x

y

2

14

3

13

4

11

5

8

5

9

7

4

7

3

Find the correlation coefficient, r

Q2. Imagine that the correlation between years of education and happiness scores is .31. Describe what this correlation indicates.

Q3. Describe a research question that would use a one-way chi square analysis. Create some data and enter it into the cells for obtained frequency. What is your null hypothesis? What are your expected frequencies?

Q4. What are your degrees of freedom? Calculate the chi square. Setting alpha at .01, have you found significance? Discuss your findings

Q5. Describe what a scatter plot would look like for each of the following correlations:

-.03

.68

-.94

.25

Q6. Suppose we collected data on the number of students within four college majors (psychology, business, health sciences, liberal arts) and the number of students who want to get a particular type of degree (associates, bachelors, masters, doctoral).

What type of statistical test will we be using?

What is our null hypothesis?

How many cells are there?

How will we know if we have found significance?

Q7.  Dr. H collected the following data where x represents the age at which the subject was married and y represents the age of the partner at the time of marriage.

x

y

17

18

22

20

28

25

30

26

Calculate r. Interpret your correlation. What do you think it suggests?

Q8. Using the data from Q7, find the slope. Find the y-intercept. Write out the regression equation. Predict y if x = 35.

Q9.  If X‾= 42, Y‾= 165, sx = 7.5, sy = 11.3 and r = .00, then predict y if x=38.

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Basic Statistics: Find the correlation coefficient
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