Question 14 State University recently randomly sampled ten s

Question 14,

State University recently randomly sampled ten students and analyzed grade point average (GPA) and number of hours worked off-campus per week. The following data were observed:


The correlation between these two variables is approximately -.461

GPA HOURS
3.14 25
2.75 30
3.68 11
3.22 18
2.45 22
2.80 40
3.00 15
2.23 29
3.14 10
2.90 0

Solution

Hence true.

X Y XY XX YY
3.14 25 78.5 9.8596 625
2.75 30 82.5 7.5625 900
3.68 11 40.48 13.5424 121
3.22 18 57.96 10.3684 324
2.45 22 53.9 6.0025 484
2.8 40 112 7.84 1600
3 15 45 9 225
2.23 29 64.67 4.9729 841
3.14 10 31.4 9.8596 100
2.9 0 0 8.41 0
Sum 29.31 200 566.41 87.4179 5220
Question 14, State University recently randomly sampled ten students and analyzed grade point average (GPA) and number of hours worked off-campus per week. The

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