Question

Computer Hours Over a Decade The PASeniors dataset has survey data from a sample of Pennsylvania high school seniors who participated in the Census at Schools project over the decade from 2010 to 2019. One of the variables (ComputerHours) asks about number of hours spent using a computer each week. To see how that variable might change over the decade we run a regression where the explanatory variable t measures time (in years) over the decade with t=0 in 2010 and t=9 in 2019 . The fitted line predicting the average weekly hours on a computer each year is ComputerHours =14.347+0.467 Aased on the fitted line, about how much has the average weekly computer hours increased or decreased over this decade? by hours per week

Answer 1

The average weekly computer hours increased by 4.203 hours per week over the decade.

Step-by-step explanation:

To find out how much the average weekly computer hours increased or decreased over the decade, we need to compare the initial and final values of the time variable (t) in the regression equation.

Since t=0 in 2010 and t=9 in 2019, the difference in time over the decade is 9 - 0 = 9 years.

According to the fitted line equation, the slope (0.467) represents the change in average weekly computer hours per year. Multiplying this slope by the number of years (9) gives us:

Change in average weekly computer hours = 0.467 * 9 = 4.203 hours per week.