Question

(a)How would you characterize the relationship between the hours spent on homework and the test scores? Explain.(What is happening as the hours of homework increases? What type of association is this scatter plot?)
(b)Paul uses the function y= 8x+ 42to model the situation. What score does the model predict for 3 h of homework?(Substitue 3 for x)

Answer 1

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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