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4. A study was done with a group of university students to determine if there was...

4. A study was done with a group of university students to determine if there was a correlation between amounts of sleep they got and their academic performance (9)

Student

A

B

C

D

E

F

G

H

I

J

K

L

Hours of sleep

6.0

6.5

7.0

6.5

8.5

8.0

9.0

8.5

7.0

7.5

6.5

7.5

Average

Mark

62

58

66

71

76

82

76

75

70

68

56

77

  1. Draw a scatter plot of this data. Draw a line of best fit.

  2. What type of correlation does this show?

  3. The line of best model for this relationship is given by y = 6.4x + 22.4, with a correlation coefficient of r = 0.762. Describe what each of the following represent

i) the 6.4 ?

ii) the 22.4?

iii) the r value?

Math   Statistics-And-Probability   
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