A superintendent of a school district wants to understand the link between attendance and grade point average, or GPA. The GPA is out of 4.0 points, with 4.0 being the highest possible. The percent attendance and GPA of 10randomly sampled students from the superintendent's district were collected. This sample data is reproduced in the table below. Calculate the correlation coefficient r using a TI-83, TI-83 plus, or TI-84 graphing calculator (round your answer to two decimal places).
"GPA" 3.5 2.38 1.16 3.83 3.28 3.69 3.46 3.87 3.69 3.75
Attendance 91% 74% 80% 97% 59% 78% 90% 98% 94% 87%
r=_______.

Question

08-01-2021
Mathematics

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A superintendent of a school district wants to understand the link between attendance and grade point average, or GPA. The GPA is out of 4.0 points, with 4.0 being the highest possible. The percent attendance and GPA of 10randomly sampled students from the superintendent's district were collected. This sample data is reproduced in the table below. Calculate the correlation coefficient r using a TI-83, TI-83 plus, or TI-84 graphing calculator (round your answer to two decimal places).
"GPA" 3.5 2.38 1.16 3.83 3.28 3.69 3.46 3.87 3.69 3.75
Attendance 91% 74% 80% 97% 59% 78% 90% 98% 94% 87%
r=_______.

Sagot :

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Fichohidn Fichohidn · Answer 1 · 2021-01-11T02:13:41-05:00

Answer:

0.4136

Step-by-step explanation:

Given the data:

"GPA":

3.5

2.38

1.16

3.83

3.28

3.69

3.46

3.87

3.69

3.75

Attendance

0.91

0.74

0.80

0.97

0.59

0.78

0.90

0.98

0.94

0.87

The value of R (correlation Coefficient) obtained for the two variables GPA and ATTENDANCE is 0.4136. This shows that a fairly weak relationship between the GPA obtained and the attendance of students. Hence, even though a positive relationship exist between the two variables, that is, an increase in one variable yields a corresponding increase in the other and vice versa. The correlation Coefficient value for both values is just fairly strong.

Sagot :

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