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Regression analysis

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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.

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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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