A professor at Ltts College is interested in the relationship between hours spent studying and total points earned in a course. Data collected on 10 students who took the course last quarter are given below. Student No. Hours Spent Studying Total Points Earned 1 25 18 2 10 13 3 70 53 4 40 43 5 85 68 6 45 28 7 70 68 8 60 58 9 35 23 10 55 43 1. Does the scatter plot suggest a linear relation between Hours (X) and Points (Y)? A.X and Y are related, but not linearly related. B.There is a strong linear relationship between X and Y. C. X and Y do not seem to be linearly related as seen from the scatter plot. D.There is a weak linear relationship between X and Y.   1a. By looking at the scatter plot, would you think X and Y are positively or negatively correlated? A. Positively B. Negatively

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A professor at Ltts College is interested in the relationship between hours spent studying and total points earned in a course. Data collected on 10 students who took the course last quarter are given below.

Student No.

Hours Spent Studying

Total Points Earned

1

25

18

2

10

13

3

70

53

4

40

43

5

85

68

6

45

28

7

70

68

8

60

58

9

35

23

10

55

43

1. Does the scatter plot suggest a linear relation between Hours (X) and Points (Y)?


A.X and Y are related, but not linearly related.
B.There is a strong linear relationship between X and Y.
C. X and Y do not seem to be linearly related as seen from the scatter plot.
D.There is a weak linear relationship between X and Y.
 
1a. By looking at the scatter plot, would you think X and Y are positively or negatively correlated?
A. Positively
B. Negatively
A linear regression model is the gray line:
Y = Bo + B1 X + ɛ
where X (independent variable or explanatory variable) is Hours, and Y (dependent variable or response
variable) is Points.
An estimated regression line is the red line:
Y_hat = bo + b1 X
20
10
15
20
25
30
35
40
45
50
55
60
65
70
75
80
85
90
Hours
05 10
Points
08
06
Transcribed Image Text:A linear regression model is the gray line: Y = Bo + B1 X + ɛ where X (independent variable or explanatory variable) is Hours, and Y (dependent variable or response variable) is Points. An estimated regression line is the red line: Y_hat = bo + b1 X 20 10 15 20 25 30 35 40 45 50 55 60 65 70 75 80 85 90 Hours 05 10 Points 08 06
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