Answer:
(a) Regression Equation : x = 6.33333y + 38.6875,
(b) Test Score will be about 89.4% if student sleeps 8 hours a night
Explanation:
Using a regression calculator your equation should be as follows, where x = test scores, and y = average sleep.
(a) Solution : x = 6.33333y + 38.6875
We can check if this equation is ' suitable ' by plugging in the value 7 for y, and expecting an outcome of around 88 percent ...
x = 6.33333(7) + 38.6875 = 44.33331 + 38.6875
= 83.02061% - this may seem a bit too off, but it is predictable
Now let's plug in 8 for y, as to calculate the percent when a student sleeps for 8 hours ...
x = 6.33333(8) + 38.6875 = 50.66664 + 38.6875
= 89.35414% ≈ 89.4%
(b) Solution : Test Score will be about 89.4%