# Regression analysis

Participants completed two personality instruments. The results are identified below.

Participant First Instrument(X) Second Instrument (Y)

1 2 2

2 2 1

3 1 1

4 1 1

5 3 5

6 4 4

7 5 7

8 5 6

9 7 7

10 6 8

11 4 3

12 3 3

13 6 6

14 6 6

15 8 10

16 9 9

17 10 6

18 9 6

19 4 9

20 4 10

a. Calculate the means, medians, modes, variances, and standard deviations

b. Calculate ΣxÂ², ΣyÂ², and Σxy. _________, __________, and __________.

c. What is Pearson's r? _____________________.

d. Compute the regression equation y on x.

e Compute the regression and residual sum of squares.

https://brainmass.com/statistics/regression-analysis/coefficients-regression-models-graphs-136384

#### Solution Summary

Step by step method for regression analysis is discussed here. regression coefficients, coefficient of determination, scatter diagram and significance of regression model are explained in the solution.