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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 Σx², Σy², 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.

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.

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