Karen is studying the relationship between the time spent exercising per day and the time spent outside per day and has collected the data shown in the table. The line of best fit for the data is y^=0.16x+45.5. Assume the line of best fit is significant and there is a strong linear relationship between the variables. Exercising (Minutes) 7090110130 Time Spent Outside (Minutes) 57606267 According to the line of best fit, what would be the predicted number of minutes spent outside for someone who spent 68 minutes exercising? Round your answer to two decimal places, as needed.

The line of best fit defines the strong linear relationship between the variables. The straight line is drawn from a maximum number of points in a scatterplot where the points above and below the line are equal.

Calculation:

The given equation for the line of best fit is y^=0.16x+45.5.

Here the variable x represents the time spent exercising per day and the variable y represents the time spent outside per day.

The data are given is as follows:

x y

70 57

90 60

110 62

130 67

Thus, someone who spent 68 minutes exercising will spend the number of minutes outside

⇒ y^ = 0.16x+45.5

Substituting x = 68

⇒ y^ = 0.16 × 68 + 45.5

⇒ y^ = 56.38

∴ y^ = 56 minutes

Thus, 56 minutes were spent outside for someone who spent 68 minutes exercising.

Learn more about the line of best fit here:

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