2. consider this scatter plot.
(a) how would you characterize the relationship between the hours spent on homework and the test scores? explain.
(b) paul uses the function y = 8x + 40 to model the situation. what score does the model predict for 3 h of homework?
(c) what does the number 40 in part (b) mean in the context of the situation?

(a) How would you characterize the relationship between the hours spent on homework and the test scores? Explain
 For this case what we see is that we have a scatter diagram, which we can model using a linear trend defining the following variables:
 x: number of hours studied.
 y: test scores.
 The linear relationship would be of the form:
 y = mx + b

 (b) Paul uses the function y = 8x + 40 to model the situation. What score does the model predict for 3 h of homework?

 y = 8x + 40
 For three hours of study we have that the note would be approximately:
 y = 8 * (3) + 40
 y = 64

 (c) What does the number 40 in Part (b) mean in the context of the situation?

 The number 40 means that if you do not devote any study time, then you expect the test score to be 40.