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)
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.
Step-by-step 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.
<span>The best answer that is given to the question that is being presented above would be 68%. Since it is normally distributed and the lengths' range fall between the first lower and upper standard deviations of the distribution (which is 68%), then the answer is 68%. </span>