Question

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, yˆ=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 0 2 3 4 5 Midterm Grades 62 77 86 91 98. 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: According to the estimated linear model, if the value of the independent variable is increased by one unit, then the change in the dependent variable yˆy^ is given by? b0 , b1, x, y Step 4 of 6: Determine if the statement "All points predicted by the linear model fall on the same line" is true or false. Step 5 of 6: Find the estimated value of y when x=1x=1. Round your answer to three decimal places. Step 6 of 6: Find the value of the coefficient of determination. Round your answer to three decimal places.

Answer 1

The statistical software output for this problem is :

Step - 1) Slope = 7.216

Step - 2) Y-intercept = 62.595

Step - 3) b1

Step - 4) true

Step - 5)  estimated value = 69.811

Step - 6) the coefficient of determination = 0.995