A psychologist wants to determine if there is a linear relationship between the number of hours a person goes without sl

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A psychologist wants to determine if there is a linear
relationship between the number of hours a person goes without
sleep and the number of mistakes he/she makes on a simple test. The
following data is recorded.
Hours without Sleep, x Number of Mistakes, y
32
6
38
8
48
13
24
5
46
7
35
6
30
5
34
8
42
12
A. Draw a scatter plot.
B. Based on the following regression statistics for the data,
find the correlation. Do the pattern you see on the scatter plot
aggress with the calculated correlation? Explain Why?
Regression Statistics
Multiple R
0.770739602
R Square
0.594039534
Adjusted R Square 0.536045182
Standard
Error
1.979353603
Observations
9
C. Test the significance of the correlation (five steps)
D. Find the coefficient of determination and coefficient
non-determination.
E. Find the percent of variance of y explained and unexplained
by x