Question 1) In a random sample of 10 on-line statistics students, information was collected about their minutes studied and their chapter test scores. X is the minutes studied, and Y is the test score.

x : {20,30,45,60,80,90,45,120,90,70} y: {50,45,55,70,80,90,80,100,95,85}

Is this relationship positive, negative or no relation? Answer: (positive)

Using the data from question #1, what is the equation of the line of best fit? (For future reference: line of best fit, linear regression equation, and least-squares line are all the same thing y=ax+b). Round your answers to the nearest tenth. x : {20,30,45,60,80,90,45,120,90,70} y: {50,45,55,70,80,90,80,100,95,85}

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Mathematics

26 May, 13:44

Question 1) In a random sample of 10 on-line statistics students, information was collected about their minutes studied and their chapter test scores. X is the minutes studied, and Y is the test score.

x : {20,30,45,60,80,90,45,120,90,70} y: {50,45,55,70,80,90,80,100,95,85}

Is this relationship positive, negative or no relation? Answer: (positive)

Using the data from question #1, what is the equation of the line of best fit? (For future reference: line of best fit, linear regression equation, and least-squares line are all the same thing y=ax+b). Round your answers to the nearest tenth. x : {20,30,45,60,80,90,45,120,90,70} y: {50,45,55,70,80,90,80,100,95,85}

+1

Answers (1)

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Aldo Johnston · Answer 1

First, arrange the data in a table for easy reference:

x y

20 50

30 45

45 55

60 70

80 80

90 90

45 80

120 100

90 95

70 85

Then, use the calculator to find the relationship of the two variables, x (minutes studied) and y (test scores)

The equation is

y = 0.56686x + 38.15