Question

hours of sleep before test
a study was done on the effects of sleeping on test scores. 15 people were asked to reduce their sleep amount by different amounts and were given a series of test the next day. the results are shown above in the scatter plot. according to the line of best fit, what would be the best estimate for the test score of someone who slept only 1 hour?
a

b

c

d

Explanation:

Step1: Locate \(x = 1\) on the scatter - plot

On the \(x\) - axis (hours of sleep), find the value \(x = 1\).

Step2: Find the corresponding \(y\) - value on the line of best fit

Move vertically from \(x = 1\) until you intersect the line of best fit. Then move horizontally to the \(y\) - axis (score on test).

Answer:

By following the steps above, when \(x = 1\) (1 hour of sleep), the corresponding \(y\) - value (test score) on the line of best fit is approximately \(40\). So the answer is \(40\).