Question

The equation of the line of best fit for a scatter plot is yˆ=−14x+10 where x is age in years and y is average number of hours of sleep per night. The data was gathered from children aged 1 year to 9 years old. What is the predicted number of average hours of sleep for a 8 year old?

1. 6 Hours
2. 7 Hours
3. 8 Hours
4. 9 Hours

Answer 1

Hey there!

y = -1/4x + 10

Looking for the amount of hours of sleep for an 8 year old, so x is 8.

Solve for y:

y = -1/4(8) + 10

y = -2 + 10

y = 8

The predicted number of average hours of sleep for an 8 year old is 3. 8 hours.

Hope this helps!