Answer:
(a) The relationship between the hours spent on homework and the test scores can be characterized as a positive association or correlation. As the hours of homework increases, the test scores also improve.
(b) The score that this model predicts for 3 hours of homework is 66.
Step-by-step explanation:
(a) The data points are continuously getting higher; this is a sign of a positive correlation. If they are getting lower, that's called a negative correlation. And if they are not getting higher or lower, there is no correlation. This set of data points seems to follow a pattern that as x-values increase, y-values increase as well, so there is a positive association.
(b) Use Paul's function to evaluate the score for 3 hours of homework.
Just plug in x = 3 to his equation: y = 8x + 42
You will get this:
y = 8(3) + 42
Simplify.
y = 24 + 42 = 66
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