Question

Data is collected on the relationship between time spent playing video games and time spent with family. The data is shown in the table and the line of best fit for the data is y^=−0.93x+89. Assume the line of best fit is significant and there is a strong linear relationship between the variables.

Video Games (Minutes)   Time with Family (Minutes)

30 60

45 50

60 30

75 20

According to the line of best fit, what would be the predicted number of minutes spent with family for someone who spent 33 minutes playing video games? Round the answer to one decimal place.

Provide your answer below:

The predicted number of minutes spent with family is ____

Answer 1

The least square regression line for predicting Time with family from time spent on playing video game is,

ŷ = −0.93x+89

We have need to predict y for x = 33

ŷ = 58.31 minutes