Question

Consider this scatter plot.

How would you characterize the relationship between the hours spent on homework and the test scores? Explain. (3 points)


Paul uses the function y = 7x + 41 to model the situation. What score does the model predict for 5 hours of homework? (6 points)


What does the number 41 in Part (b) mean in the context of the situation? (6 points)

Answer 1

Positive correlation

5 hours yield a score of 76

41 is the test score for no hours of study

Explanation:

There is a positive correlation because the more hours spent on homework the better the test score generally it.

Use the function y=7x+41 by substituting x=5 and simplifying to predict the test score.

y=7(5)+41

y=35+41

y=76

The number 41 is the y-intercept and starting value. This means with 0 hours of study you are likely to score a 41 on the test.