Question

The following data gives the number of hours 55 students spent studying and their corresponding grades...

The following data gives the number of hours 55 students spent studying and their corresponding grades on their midterm exams.

Hours Spent Studying 00 11 22 44 55
Midterm Grades 66 75 84 87 90

Copy Data

Calculate the coefficient of determination, R2. Round your answer to three decimal places.

Math   Statistics-And-Probability   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

Solution:

Hours spent studying(X) Midterm Grades(Y) XBAR YBAR X-XBAR Y-YBAR (X-XBAR)(Y-YBAR) (X-XBAR)^2 (Y-YBR)^2
0 66 26.4 80.4 -26.4 -14.4 380.16 696.96 207.36
11 75 26.4 80.4 -15.4 -5.4 83.16 237.16 29.16
22 84 26.4 80.4 -4.4 3.6 -15.84 19.36 12.96
44 87 26.4 80.4 17.6 6.6 116.16 309.76 43.56
55 90 26.4 80.4 28.6 9.6 274.56 817.96 92.16
MEAN=132/5=26.4 MEAN=402/5=80.4 TOTAL 838.2 2081.2 385.2

r=

r=838.2/sqrt(2081.2*385.2)

=0.93615

coefficient of determination=r sq=r*r=0.93615*0.93615=0.8763768

r sq=0.876

he coefficient of determination, R2.=0.876

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
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 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 midterm exams. Hours Spent Studying 0.50.5 11 22 2.52.5 33 3.53.5 44 55 5.55.5 66 Midterm Grades 6060 6969 7575 7878 8484 8787 9090 9393 9696 9999 Copy Data Step 1 of 3: Draw a scatter plot of the given data. Step 2 of 3: Estimate the correlation in words: positive, negative, no correlation. Step 3 of 3: Calculate the correlation coefficient,...
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
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 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 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 1 1.5 2 2.5 3.5 4 6 Midt erm Grades 66 75 78 81 87 90 93 Copy Data Step 1 of 4 :  Calculate the correlation coefficient, r. Round your answer to six decimal places. Step 2 of 4: Determine if r is statistically significant at the 0.01 level Step 3 of 4: Determine if r is...
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 exams. Hours Spent Studying 0.5 1 1.5 2 3 4.5 5.5 Grades 66 72 81 84 90 96 99 Copy Data Step 3 of 3 :   Calculate the coefficient of determination, r2r2. Round your answer to three decimal places. Answer How to enter your answer Tables Keypad
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 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...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT