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A student is assessing the correlation between the average number of hours of internet browsing and average score on a math test for the students of a class. 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 87 86 85


Part A: Is there any correlation between the average number of hours of internet browsing and average score on the math test for the students of the class? Justify your answer.


Part B: Write a function which best fits the data


Part C: What does the slope and y-intercept of the plot indicate?

Sagot :

Answer:

Part A:

Yes, the correlation is that the longer time a student  spends browsing the internet, the worse score the student will receive on the test.

Part B:

y= - 1/2x + 95

Part C:

The slope of the line is -1/2, which represents for every additional hour of internet browsing, the student loses 2 points. The y intercept is 95, which represents a max  score of 95.

Let me know if this helps!

Part A: Yes, the correlation is that the longer time a student spends browsing the internet, the worse score the student will receive on the test.

Part B:The function is y= - 1/2x + 95

Part C: The slope of the line is -1/2, which represents for every additional hour of internet browsing, the student loses 2 points. The y-intercept is 95, which represents a max score of 95.

What is a function?

A function is the locus of certain point.

How to find- y-intercept?

Putting x=0, to the function we can achieve y-intercept.

Part A: Yes, the correlation is that the longer time a student spends browsing the internet, the worse score the student will receive on the test.

Part B:The function is y= - 1/2x + 95

Part C: The slope of the line is -1/2, which represents for every additional hour of internet browsing, the student loses 2 points. The y-intercept is 95, which represents a max score of 95.

Learn more about slope and y-intercept here :

https://brainly.com/question/1280589

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