The table below gives the number of hours ten 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
The table below gives the number of hours ten 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 | 0 | 1 | 2 | 2.5 | 3 | 3.5 | 4 | 4.5 | 5.5 | 6 |
|---|---|---|---|---|---|---|---|---|---|---|
| Midterm Grades | 61 | 64 | 65 | 66 | 71 | 79 | 84 | 88 | 94 | 98 |
Summation Table
| x | y | xy | x2 | y2 | |
|---|---|---|---|---|---|
| Student 1 | 0.0 | 61 | 0.0 | 0.00 | 3721 |
| Student 2 | 1.0 | 64 | 64.0 | 1.00 | 4096 |
| Student 3 | 2.0 | 65 | 130.0 | 4.00 | 4225 |
| Student 4 | 2.5 | 66 | 165.0 | 6.25 | 4356 |
| Student 5 | 3.0 | 71 | 213.0 | 9.00 | 5041 |
| Student 6 | 3.5 | 79 | 276.5 | 12.25 | 6241 |
| Student 7 | 4.0 | 84 | 336.0 | 16.00 | 7056 |
| Student 8 | 4.5 | 88 | 396.0 | 20.25 | 7744 |
| Student 9 | 5.5 | 94 | 517.0 | 30.25 | 8836 |
| Student 10 | 6.0 | 98 | 588.0 | 36.00 | 9604 |
| Sum | 32.0 | 770 | 2685.5 | 135.00 | 60920 |
Find the estimated slope. Round your answer to three decimal places.
Find the estimated y-intercept. Round your answer to three decimal places.
Determine if the statement "Not all points predicted by the linear model fall on the same line" is true or false.
Find the estimated value of y when x=5.5. Round your answer to three decimal places.
Find the error prediction when x=5.5. Round your answer to three decimal places.
Find the value of the coefficient of determination. Round your answer to three decimal places.
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