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, x3528244563Scores, y65806088667885909071 Draw a scatter plot for this data – technology can be usedFind the correlation coefficient.Does this show the existence in a linear relationship? Why or why notFind 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 notWhat would be the predicted score for a history student who slept 12 hours the previous night? Is this a reasonable question? Why or why notAssuming the residuals are normally distributed. Test whether a linear relationship exists between the amount of sleep and the exam score.

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Answered: The data below are the final exam…

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter1: Equations And Graphs

Section: Chapter Questions

Problem 10T: Olympic Pole Vault The graph in Figure 7 indicates that in recent years the winning Olympic men’s...

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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.