The table below gives the number of hours seven randomly selected students spent studying and their corresponding midterm exam grades. Using this data, consider the equation of the regression line, yˆ=b0+b1x�^=�0+�1�, for predicting the midterm exam grade that a student will earn based on the number of hours spent studying. Keep in mind, the correlation coefficient may or may not be statistically significant for the data given. Remember, in practice, it would not be appropriate to use the regression line to make a prediction if the correlation coefficient is not statistically significant. Hours Studying 1 2 3 3.5 4 4.5 5 Midterm Grades 60 66 73 76 78 84 90 Step 2 of 6: Find the estimated y-intercept. Round your answer to three decimal places. Step 3 of 6: Find the estimated value of y when x=2�=2. Round your answer to three decimal places. Step 4 of 6: Substitute the values you found in steps 1 and 2 into the equation for the regression line to find the estimated linear model. According to this model, if the value of the independent variable is increased by one unit, then find the change in the dependent variable yˆ�^.
The table below gives the number of hours seven randomly selected students spent studying and their corresponding midterm exam grades. Using this data, consider the equation of the regression line, yˆ=b0+b1x�^=�0+�1�, for predicting the midterm exam grade that a student will earn based on the number of hours spent studying. Keep in mind, the
| Hours Studying | 1 | 2 | 3 | 3.5 | 4 | 4.5 | 5 |
|---|---|---|---|---|---|---|---|
| Midterm Grades | 60 | 66 | 73 | 76 | 78 | 84 | 90 |
Find the estimated y-intercept. Round your answer to three decimal places.
Find the estimated value of y when x=2�=2. Round your answer to three decimal places.
Substitute the values you found in steps 1 and 2 into the equation for the regression line to find the estimated linear model. According to this model, if the value of the independent variable is increased by one unit, then find the change in the dependent variable yˆ�^.
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