Can the use of social media stress you out? A researcher is interested in finding out whether college students who extensively use social media tend to have higher levels of stress. To test this, a sample of nine college students were asked to fill out a survey on their stress level and provide an estimate of the number of hours they spend per day on social media. The stress survey is on a scale of \(0-100\) where higher scores are indicative of a higher level of stress. The data is given in Table 7.8.

a. Fill in the five blank cells in the above table.

b. Use Table 7.8 to find and interpret the coefficient of determination.

c. Use Table 7.8 to find the coefficient of correlation.

d. Is there a significant correlation between the number of hours on social media and stress level?

Table 7.8

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Number of Hours a Random Sample of Nine Students Spend Per Day on Social Media and Their Stress Levels Hours Stress (y. -i) (y,-,) (yi-y) (y,-) 5 55 57.6100 -2.6100 6.8121 6.7778 45.9383 2 40 39.5050 0.4950 0.2450 67.6049 3 46 45.5400 0.4600 0.2116 -2.2222 4.9383 +1362 4 46 51.5750 -5.5750 31.0806 -2.2222 4.9383 37 33.4700 3.5300 12.4609 125.9383 46 45.5400 0.4600 -2.2222 4.9383 71 63.6450 7.3550 54.0960 22.7778 38 39.5050 2.2650 -10.2222 104.4938 5 55 57.6100 -2.6100 6.8121 6.7778 45.9383 Total 31 434 434.0000 0.0000 114.1950 0.0000 923.5556