The table below gives the number of hours five randomly selected students spent studying and their corresponding midterm exam grades. Using this data, consider the equation of the regression line, y^=b0+b1x, 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 4 5 6 Midterm Grades 67 68 70 79 87 Summation Table x y xy x2 y2 Student 1 1 67 67 1 4489 Student 2 2 68 136 4 4624 Student 3 4 70 280 16 4900 Student 4 5 79 395 25 6241 Student 5 6 87 522 36 7569 Sum 18 371 1400 82 27823 Step 1 of 6: Find the estimated slope. Round your answer to three decimal places. 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=4. Round your answer to three decimal places. Step 4 of 6:
The table below gives the number of hours five randomly selected students spent studying and their corresponding midterm exam grades. Using this data, consider the equation of the regression line, y^=b0+b1x, 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 | 4 | 5 | 6 |
|---|---|---|---|---|---|
| Midterm Grades | 67 | 68 | 70 | 79 | 87 |
Summation Table
| x | y | xy | x2 | y2 | |
|---|---|---|---|---|---|
| Student 1 | 1 | 67 | 67 | 1 | 4489 |
| Student 2 | 2 | 68 | 136 | 4 | 4624 |
| Student 3 | 4 | 70 | 280 | 16 | 4900 |
| Student 4 | 5 | 79 | 395 | 25 | 6241 |
| Student 5 | 6 | 87 | 522 | 36 | 7569 |
| Sum | 18 | 371 | 1400 | 82 | 27823 |
Find the estimated slope. Round your answer to three decimal places.
Find the estimated y-intercept. Round your answer to three decimal places.
Find the estimated value of y when x=4. Round your answer to three decimal places.
Determine the value of the dependent variable y^ at x=0.
Determine if the statement "Not all points predicted by the linear model fall on the same line" is true or false.
Find the value of the coefficient of determination. Round your answer to three decimal places.
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