An economic professor at Orlando College is interested in investigating the relationship between hours spent studying and total points (scores) earned in a course. The table below presents the data collected from the related 10 students who took the course last quarter. Hours Scores 45 40 30 35 90 75 60 65 105 90 65 50 90 90 80 80 55 45 75 65 Please answer the following questions: a. Write down the estimated regression equation showing how total scores earned is related to hours spent studying. b. Interpret each of the regression coefficients. c. Test the significance of the model with alpha = 5%. d. Predict the total points earned by a student who spent 95 hours studying. e. What is the value of the coefficient of determination? Interpret what it means. f. What is the value of the correlation? Interpret what it means.
Added by Jasmine B.
Step 1
To do this, we need to calculate the mean of the hours spent studying (X) and the mean of the total points earned (Y). Then, we need to find the slope (b1) and the intercept (b0) of the regression equation. Show more…
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A marketing professor at Givens College is interested in the relationship between hours spent studying and total points earned in a course. Data collected on 10 students who took the course last quarter follow. Hours Spent Studying Total Points Earned 45 40 30 35 90 75 60 65 105 90 65 50 90 90 80 80 55 45 75 65 a. Develop an estimated regression equation showing how total points earned is related to hours spent studying. b. Test the significance of the model with α =.05. c. Predict the total points earned by Mark Sweeney. He spent 95 hours studying. d. Develop a 95% prediction interval for the total points earned by Mark Sweeney. how to find coefficient and se coefficient without calculator and excel?
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High school students were interested in a teacher's claim that the longer the length of time (hours) that a student studies for a test, the higher the test score. The students collected the data and the teacher did the regression analysis with the following results: ANOVA df SS MS F Regression 1 1199.900 Residual 8 1725.700 Total 9 Coefficients Standard Error t-Stat Intercept 46.024 11.641 Time 2.134 0.905 (1) What is the regression mean square? (2) To test the null hypothesis that no relationship exists between study time and score, what are the F test statistic and the F-critical value using the 0.05 significance level? (3) To test the null hypothesis that the slope is zero, what are the t test statistic and the t-critical values using the 0.05 significance level? (4) What is the coefficient of determination? (5) Write the regression equation in terms of the independent and dependent variables. (6) If a student studies 10 hours, what is the predicted score?
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