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In a study, you measure how many cups of coffee college students drink per day and their stress levels and obtain the following data: Participant

  1. In a study, you measure how many cups of coffee college students drink per day and their stress levels and obtain the following data:

Participant Cups of Coffee Stress Level
1 0 70
2 5 90
3 4 30
4 1 60
5 1 20
6 7 100
7 0 20
8 2 80
9 3 60
10 6 50

a. Construct a scatterplot of the data (either by hand or using RStudio, Excel, or another computer program).

b. Compute the correlation between coffee consumption and stress level.

c. What is the proportion of variance in stress level that is accounted for by coffee consumption? (Be sure to interpret this value)

d. Compute the linear regression equation for predicting stress level from coffee consumption.

e. What is the standard error of the estimate for the line you found in part d?

f. If a student drinks 3 cups of coffee per day, what would you predict that student's stress level to be?

g. Compute the linear regression equation for predicting coffee consumption from stress level.

h. What is the standard error of the estimate for the line you found in part g?

i. If a student has a stress level of 60, how many cups of coffee per day do you predict that student drinks?

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