Question

A student is assessing the correlation between the average number of hours of internet browsing and average score on a math test. The table below shows the data:

Number of hours of internet browsing
(x) 0 0.5 1 1.5 2 2.5 3 3.5 4 4.5
Score on math test
(y) 95 94 93 92 91 90 89 88 87 86


Part A: Is there any correlation between the average number of hours of internet browsing and average score on the math test? Justify your answer. (4 points)

Part B: Write a function which best fits the data. (3 points)

Part C: What does the slope and y-intercept of the plot indicate? (3 points)

Answer 1

I’m pretty sure it’s C

Answer 2

Part A: Yes, there should be a strong negative correlation between number of hours of internet browsing and score on math test. Justification: By calculating the correlation coefficient it is about -1. This means there is a strong negative correlation. Part B:y=-2x+95 Part C: The slope indicates that scores on a math test decrease by two for every hour internet browsing. The y-intercept indicates the score you have when browsing 0 hours on the internet.

Explanation:

I hope this helps :D. I recommend getting a t-inspire calculator if you don't already have one. It can be so helpful when solving these types of problems.