Question

This is Correlation and Introduction to Regression ! please SHOW YOUR WORK. please don't use SPSS....

This is Correlation and Introduction to Regression ! please SHOW YOUR WORK. please don't use SPSS. all work must calculate by hand and show step by step. thanks

  1. Calculate SP (the sum of products of deviations) for the following scores. (2pts)

X

Y

0

4

1

1

0

5

4

1

2

1

1

3

0 0
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Answer #1
x y x- (x-)^2 y- (y-)^2 (x-)*(y-)
0 4 -1.33 1.7689 1.5 2.25 -1.995
1 1 -0.33 0.1089 -1.5 2.25 0.495
0 5 -1.33 1.7689 2.5 6.25 -3.325
4 1 2.67 7.1289 -1.5 2.25 -4.005
2 1 0.67 0.4489 -1.5 2.25 -1.005
1 3 -0.33 0.1089 0.5 0.25 -0.165
Total 8 15 11.3334 15.5 -10

The mean of x is given by:

The mean of y is

The correlation coefficient is given by:

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