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MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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Question
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 | 1.51.5 | 22 | 2.52.5 | 33 | 4.54.5 | 55 | 5.55.5 | 66 |
---|---|---|---|---|---|---|---|---|---|---|
Midterm Grades | 6060 | 6363 | 6969 | 7272 | 7575 | 7878 | 8787 | 9393 | 9696 | 9999 |
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Step 1
Provided information is ;
Hours Spent Studying(x) | Midterm Grades(y) |
0.5 | 60 |
0.5 | 60 |
1 | 63 |
1 | 63 |
1.5 | 69 |
1.5 | 69 |
2 | 72 |
2 | 72 |
2.5 | 75 |
2.5 | 75 |
3 | 78 |
3 | 78 |
4.5 | 87 |
4.5 | 87 |
5 | 93 |
5 | 93 |
5.5 | 96 |
5.5 | 96 |
6 | 99 |
6 | 99 |
Formula :
Correlation coefficient (r) =
where , y : dependent variable
x : independent variable
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- 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 4 4.5 5 5.5 6 Midterm Grades 63 69 75 78 81 84 90 93 96 99 Draw a scatter plot of the given data. Select a location in the chart to plot a point. Points can be moved by dragging or using the arrow keys. Estimate the correlation in words: positive, neagative, no correlation Calculate the correlation coefficient, r. Round your answer to three decimal places. Hours unspervised 0 1 2 4 5 Overall Grades 100 92 88 84 72 Calculate the correlation coefficient, r. Round your answer to three decimal places. Determine whether the given correlation coefficient is staatically significant at the specified level of significance and sample size. r=0.452 ,a=0.005, n=28arrow_forwardMatch each scatterplot shown below with one of the four specified correlation coefficients. 8 89% 0 go eagle 880 09 O a. b. 0.42 c. 0.88 -0.44 -0.85 d.arrow_forwardFind the 25th, 50th, and 75th percentile from the following list of 25 observations. 9. 15 24 31 35 38 42 48 49 54 57 60 62 72 73 74 76 78 80 89 92 93 94 99 25th percentile = 50th percentile = 75th percentile %3Darrow_forward
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