Question

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, û = bo + b x, 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 Midterm Grades 1.5 62 2 2.5 3.5 4.5 5 5.5 66 | 71 | 76 | 82 | 90 | 96 Table Copy Data Step 1 of 6: Find the estimated slope. Round your answer to three decimal places. Answer (How to Enter) 2 Points Keypad

Answer 1

The statistic software output for this problem is:

Simple linear regression results: Dependent Variable: Midterm G Independent Variable: Hours S Midterm G = 49.812808 + 7.9310345 Hours S Sample size: 7 R (correlation coefficient) = 0.98728425 R-sq = 0.97473019 Estimate of error standard deviation: 2.1746411

(a) Slope = 7.931

(b) y-intercept = 49.813

(c) b0

True

Coefficient of determination = 0.975