Question
The following data gives the number of hours 10 students spent studying and their corresponding grades...
The following data gives the number of hours 10 students spent studying and their corresponding grades on their midterm exams.
Calculate the correlation coefficient, r. Round your answer to three decimal places.
|
Hours Spent Studying |
0.5 | 1.5 | 2 | 2.5 | 3 | 3.5 | 4 | 4.5 | 5 | 5.5 |
|---|---|---|---|---|---|---|---|---|---|---|
| Midterm Grades | 63 | 66 | 69 | 72 | 75 | 81 | 84 | 90 | 96 |
99 |
Homework Answers
Answer #1
Solution:
| X | Y | XY | X^2 | Y^2 |
| 0.5 | 63 | 31.5 | 0.25 | 3969 |
| 1.5 | 66 | 99 | 2.25 | 4356 |
| 2 | 69 | 138 | 4 | 4761 |
| 2.5 | 72 | 180 | 6.25 | 5184 |
| 3 | 75 | 225 | 9 | 5625 |
| 3.5 | 81 | 283.5 | 12.25 | 6561 |
| 4 | 84 | 336 | 16 | 7056 |
| 4.5 | 90 | 405 | 20.25 | 8100 |
| 5 | 96 | 480 | 25 | 9216 |
| 5.5 | 99 | 544.5 | 30.25 | 9801 |
| n | 10 |
| sum(XY) | 2722.50 |
| sum(X) | 32.00 |
| sum(Y) | 795.00 |
| sum(X^2) | 125.50 |
| sum(Y^2) | 64629.00 |
| Numerator | 1785.00 |
| Denominator | 1815.27 |
| r | 0.9833 |
Correlation coefficient r is given by
r = 0.983
Not the answer you're looking for?
Similar Questions
The following data gives the number of hours 10 students spent studying and their corresponding grades...
The following data gives the number of hours 10 students spent
studying and their corresponding grades on their midterm exams.
Hours Spent
Studying
0.5
1
1.5
2
2.5
3
4
4.5
5
5.5
Midterm Grades
63
66
69
72
75
78
81
87
93
96
Calculate the correlation coefficient, r. Round your answer to
three decimal places.
The following data gives the number of hours 10 10 students spent studying and their corresponding...
The following data gives the number of hours 10 10 students
spent studying and their corresponding grades on their midterm
exams.
Hours Spent Studying
0.5 0.5
1 1
1.5 1.5
2.5 2.5
3 3
3.5 3.5
4 4
4.5 4.5
5 5
6 6
Midterm Grades
66 66
72 72
75 75
78 78
81 81
87 87
90 90
93 93
96 96
99 99
Copy DataHours Spent Studying Midterm Grades 0.5 66 1 72 1.5 75
2.5 78...
The following data gives the number of hours 7 students spent studying and their corresponding grades...
The following data gives the number of hours 7 students spent
studying and their corresponding grades on their midterm exams.
Hours Spent Studying
0.5
1
1.5
2.5
3.5
4
4.5
Midterm Grades
69
72
75
81
84
90
96
Copy Data
Step 1 of 3 :
Calculate the correlation coefficient, r. Round your answer to
six decimal places.
The following data gives the number of hours 7 students spent studying and their corresponding grades...
The following data gives the number of hours 7 students spent
studying and their corresponding grades on their midterm exams.
Hours Spent Studying 0.5 1 1.5 2.5 3.5 4 4.5 Midterm Grades 69 72
75 81 84 90 96
Step 3 of 3 : Calculate the coefficient of determination, r2.
Round your answer to three decimal places.
The following data gives the number of hours 10 students spent studying and their corresponding grades...
The following data gives the number of hours 10 students spent
studying and their corresponding grades on their exams.
Hours Spent Studying
0
0.5
1.5
2.5
3
3.5
4
4.5
5
5.5
Grades
60
66
69
75
78
81
84
90
93
96
Copy Data
Step 2 of 3:
Estimate the correlation in words: positive, negative, no
correlation.
Calculate the correlation coefficient, r. Round your answer to
three decimal places.
The following data gives the number of hours 77 students spent studying and their corresponding grades...
The following data gives the number of hours 77 students spent
studying and their corresponding grades on their midterm exams.
Hours Spent Studying
0.5
1
2.5
4
4.5
5.5
6
Midterm Grades
60
63
72
81
84
90
99
Copy Data
Step 1 of 3 :
Calculate the correlation coefficient, r. Round your answer to
six decimal places.
The following data gives the number of hours 10 students spent studying and their corresponding grades...
The following data gives the number of hours 10 students spent
studying and their corresponding grades on their midterm exams.
Hours Spent Studyin
0
0.5
1
1.5
2
2.5
3
4
4.5
6
Midterm Grade
66
72
78
81
84
87
90
93
96
99
Copy Data
Step 3 of 3 :
Calculate the correlation coefficient, r. Round your answer to
three decimal places.
The following data gives the number of hours 1010 students spent studying and their corresponding grades...
The following data gives the number of hours 1010 students spent
studying and their corresponding grades on their exams.
Hours Spent Studying
0.5
1.5
2
2.5
3
4
4.5
5
5.5
6
Grades
60
66
69
72
81
84
87
90
93
96
Step 3 of 3:
Calculate the correlation coefficient, r. Round your answer to
three decimal places.
The following data gives the number of hours 10 students spent studying and their corresponding grades...
The following data gives the number of hours 10 students spent
studying and their corresponding grades on their exams.
Hours Spent Studying
0.5
1
1.5
2
2.5
3
4.5
5
5.5
6
Grades
60
63
69
72
75
78
87
93
96
99
Step 1 of 3:
Draw a scatter plot of the given data.
2 of 3:
Estimate the correlation in words: positive, negative, no
correlation.
Step 3 of 3:
Calculate the correlation coefficient, r. Round your answer to...
The following data gives the number of hours 7 students spent studying and their corresponding grades...
The following data gives the number of hours 7 students spent
studying and their corresponding grades on their midterm exams.
Hours Spent Studying (x) 0.5 1 2.5 3 4 5 5.5
Midterm Grades (y) 66 69 75 78 90 93 96
Determine the correlation between hours spent studying and
midterm grades.
a) positive correlation b) negative correlation c) no
correlation
ADVERTISEMENT
Need Online Homework Help?
Get Answers For Free
Most questions answered within 1 hours.
ADVERTISEMENT
Active Questions
asked 15 minutes ago
asked 18 minutes ago
asked 56 minutes ago
asked 1 hour ago
asked 1 hour ago
asked 1 hour ago
asked 1 hour ago
asked 1 hour ago
asked 1 hour ago
asked 1 hour ago
asked 1 hour ago
asked 1 hour ago