Question

In: Math

Directions: Use the Bivatiate Correlation function and the Options submenu to answer each of the questions...

Directions: Use the Bivatiate Correlation function and the Options submenu to answer each of the questions based on the above scenario.

The superintendent has continued the examination of data by examining the relationship between attendance rate and percent of students eligible for free or reduced priced lunch. The district data used for the analysis are contained below.

School

% Free or Reduced

Attendance Rate

1

47.0

94.8

2

31.1

96.1

3

58.9

94.9

4

40.9

94.2

5

24.1

95.7

6

50.4

94.8

7

54.7

93.8

8

60.1

92.6

9

49.6

93.6

10

42.9

93.8

11

38.1

92.8

School

% Free or Reduced

Attendance Rate

12

27.2

99.7

13

58.4

93.4

14

52.4

93.6

15

58.4

94.6

16

64.9

93.0

17

75.5

92.3

18

30.6

95.1

19

79.4

92.8

20

67.3

92.6

21

56.7

95.5

22

74.7

91.8

  1. What is the mean percent of students receiving free or reduced lunch? What is the mean attendance rate?

51.97 free or reduced

94.16 attendance

  1. What are the standard deviations for the percent of students receiving free or reduced lunch and attendance rate?

15.68 free or reduced

1.71 attendance

  1. State an appropriate null hypothesis for this analysis.
  1. What is the value of the correlation coefficient?

  1. Based on the value of the correlation coefficient, how would you classify the strength of this relationship?
  1. Based on the information from the scenario, what is the appropriate value for the degrees of freedom?
  1. What is the reported level of significance?
  1. Present the results as they might appear in an article. This must include a table and narrative statement that reports and interprets the results of your analysis.

Note: The table must be created using your word processing program. Tables that are copied and pasted from SPSS are not acceptable.

Solutions

Expert Solution

State an appropriate null hypothesis for this analysis.
Ho: Correlation is equal to zero
H1 : correlation is not equal to zero

What is the value of the correlation coefficient? -0.709961317

Based on the value of the correlation coefficient, how would you classify the strength of this relationship?
It has a strong negative relationship.
that is as one increases the other one decreases.

Based on the information from the scenario, what is the appropriate value for the degrees of freedom? 20
What is the reported level of significance? 0.05

Other calculated statistics given below

Details solution given below


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