9. The table below gives the number of hours five randomly selected students spent studying and...

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9. The table below gives the number of hours five randomlyselected students spent studying and their corresponding midtermexam grades. Using this data, consider the equation of theregression line, yˆ=b0+b1x, for predicting the midterm exam gradethat a student will earn based on the number of hours spentstudying. Keep in mind, the correlation coefficient may or may notbe statistically significant for the data given. Remember, inpractice, it would not be appropriate to use the regression line tomake a prediction if the correlation coefficient is notstatistically significant.

Hours Studying   1 2 3 4 5

Midterm Grades 62 66 76 77 81

Step 1 of 6: Find the estimated slope. Round your answer tothree decimal places.

Step 2 of 6: Find the estimated y-intercept. Round your answerto three decimal places.

Step 3 of 6: Find the estimated value of y when x=2. Round youranswer to three decimal places.

Step 4 of 6: Determine the value of the dependent variable yˆ atx=0.

Step 5 of 6: Find the error prediction when x=2. Round youranswer to three decimal places.

Step 6 of 6: Find the value of the coefficient of determination.Round your answer to three decimal places.

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Independent variable X Hours studyingDependent variable Y Midterm    See Answer
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