Use the following for Questions 5 and 6:

An HR professional at a large bank examines to what extent distance to work in miles (DistWork) predicts the number of sick days an employee takes in a year (SickNum) - in a pre-COVID-19 environment!He computes the following quantities:

correlation between DistWork and SickNum = 0.2

mean of DistWork = 6.5

mean of SickNum = 3.6

standard deviation of DistWork = 4.1

standard deviation of SickNum = 1.2

5. Which is a plausible rationale for why SickNum is the response variable and DistWork is the explanatory variable?

A. Employees who tend to get sick more often are likely to choose to live further away from work to be closer to a hospital.

B. Employees who live further from their work may be more likely to stay home from work even with just a mild illness to avoid a long commute.

C. Employees who live further from their work may get sick more often due to the stress associated with a long commute.

D. Both B and C are plausible rationales for this choice of response variable and explanatory variable.

6. Which least square regression line is correct for this scenario?