The data below are the final exam scores of 10 randomly selected history students and the number of hours they slept the night before the exam. Hours, x 3 5 2 8 2 4 4 5 6 3 Scores, y 65 80 60 88 66 78 85 90 90 71 Draw a scatter plot for this data – technology can be used Find the correlation coefficient. Does this show the existence in a linear relationship? Why or why not Find the least-squares regression line for the given data. Include a rough sketch of this line in your graph. Explain the meaning of the slope of this line. Explain the meaning of the y intercept of this line. What would be the predicted score for a history student who slept 7 hours the previous night? Is this a reasonable question? Why or why not What would be the predicted score for a history student who slept 12 hours the previous night? Is this a reasonable question? Why or why not Assuming the residuals are normally distributed. Test whether a linear relationship exists between the amount of sleep and the exam score.
The data below are the final exam scores of 10 randomly selected history students and the number of hours they slept the night before the exam. Hours, x 3 5 2 8 2 4 4 5 6 3 Scores, y 65 80 60 88 66 78 85 90 90 71 Draw a scatter plot for this data – technology can be used Find the correlation coefficient. Does this show the existence in a linear relationship? Why or why not Find the least-squares regression line for the given data. Include a rough sketch of this line in your graph. Explain the meaning of the slope of this line. Explain the meaning of the y intercept of this line. What would be the predicted score for a history student who slept 7 hours the previous night? Is this a reasonable question? Why or why not What would be the predicted score for a history student who slept 12 hours the previous night? Is this a reasonable question? Why or why not Assuming the residuals are normally distributed. Test whether a linear relationship exists between the amount of sleep and the exam score.
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter4: Calculating The Derivative
Section4.CR: Chapter 4 Review
Problem 88CR
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The data below are the final exam scores of 10 randomly selected history students and the number of hours they slept the night before the exam.
| Hours, x | 3 | 5 | 2 | 8 | 2 | 4 | 4 | 5 | 6 | 3 |
| Scores, y | 65 | 80 | 60 | 88 | 66 | 78 | 85 | 90 | 90 | 71 |
- Draw a
scatter plot for this data – technology can be used - Find the
correlation coefficient . - Does this show the existence in a linear relationship? Why or why not
- Find the least-squares regression line for the given data.
- Include a rough sketch of this line in your graph.
- Explain the meaning of the slope of this line.
- Explain the meaning of the y intercept of this line.
- What would be the predicted score for a history student who slept 7 hours the previous night? Is this a reasonable question? Why or why not
- What would be the predicted score for a history student who slept 12 hours the previous night? Is this a reasonable question? Why or why not
- Assuming the residuals are
normally distributed. Test whether a linear relationship exists between the amount of sleep and the exam score.
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