Essentials Of Statistics For Business & Economics
9th Edition
ISBN: 9780357045435
Author: David R. Anderson, Dennis J. Sweeney, Thomas A. Williams, Jeffrey D. Camm, James J. Cochran
Publisher: South-Western College Pub
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Chapter 14.3, Problem 16E
a.
To determine
Calculate SSE, SST, and SSR.
b.
To determine
Find the coefficient of determination.
Comment on the goodness of fit.
c.
To determine
Compute the sample
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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
2
3
4
5
6
Midterm Grades
60
81
86
98
100
Find the error prediction when x= 5. Round your answer to three decimal places.
* What we know:
Estimated slope b1=9.700Estimated intercept b0=46.200
The table below gives the number of absences and the overall grade in the class for seven randomly selected students. Based on this data, consider the equation of the regression line, yˆ=b0+b1x�^=�0+�1�, for using the number of absences to predict a student's overall grade in the class. 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.
Number of Absences Grade1 3.72 3.33 3.14 2.96 2.47 2.28 1.9
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, yˆ=b0+b1x�^=�0+�1�, 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
3
3.5
4
4.5
5
Midterm Grades
60
66
73
76
78
84
90
Table
Copy Data
Step 1 of 6:
Find the estimated slope. Round your answer to three decimal places.
Chapter 14 Solutions
Essentials Of Statistics For Business & Economics
Ch. 14.2 - Given are five observations for two variables, x...Ch. 14.2 - Given are five observations for two variables, x...Ch. 14.2 - Given are five observations collected in a...Ch. 14.2 - Retail and Trade: Female Managers. The following...Ch. 14.2 - Production Line Speed and Quality Control. Brawdy...Ch. 14.2 - The National Football League (NFL) records a...Ch. 14.2 - Sales Experience and Performance. A sales manager...Ch. 14.2 - Broker Satisfaction. The American Association of...Ch. 14.2 - Estimating Landscaping Expenditures. David’s...Ch. 14.2 - Age and the Price of Wine. For a particular red...
Ch. 14.2 - Laptop Ratings. To help consumers in purchasing a...Ch. 14.2 - Stock Beta. In June of 2016, Yahoo Finance...Ch. 14.2 - Auditing Itemized Tax Deductions. To the Internal...Ch. 14.2 - Distance and Absenteeism. A large city hospital...Ch. 14.3 - 15. The data from exercise 1...Ch. 14.3 - Prob. 16ECh. 14.3 - The data from exercise 3 follow.
The estimated...Ch. 14.3 - Price and Quality of Headphones. The following...Ch. 14.3 - Prob. 19ECh. 14.3 - Price and Weight of Bicycles. Bicycling, the...Ch. 14.3 - Cost Estimation. An important application of...Ch. 14.3 - Prob. 22ECh. 14.5 - The data from exercise 1 follow.
Compute the mean...Ch. 14.5 - The data from exercise 2 follow.
Compute the mean...Ch. 14.5 - The data from exercise 3 follow.
What is the...Ch. 14.5 - Headphones Conclusion. In exercise 18, the data on...Ch. 14.5 - College CPA and Salary. Do students with higher...Ch. 14.5 - Broker Satisfaction Conclusion. In exercise 8,...Ch. 14.5 - Cost Estimation Conclusion. Refer to exercise 21,...Ch. 14.5 - Significance of Fleet Size on Rental Car Revenue....Ch. 14.5 - Significance of Racing Bike Weight on Price. In...Ch. 14.6 - The data from exercise 1 follow. xi 1 2 3 4 5 yi 3...Ch. 14.6 - Prob. 33ECh. 14.6 - 34. The data from exercise 3...Ch. 14.6 - Restaurant Lines. Many small restaurants in...Ch. 14.6 - 36. In exercise 7, the data on y = annual sales ($...Ch. 14.6 - In exercise 13, data were given on the adjusted...Ch. 14.6 - Prob. 38ECh. 14.6 - Entertainment Spend. The Wall Street Journal asked...Ch. 14.7 - Apartment Selling Price. The commercial division...Ch. 14.7 - Computer Maintenance. Following is a portion of...Ch. 14.7 - Annual Sales and Salesforce. A regression model...Ch. 14.7 - Estimating Setup Time. Sherry is a production...Ch. 14.7 - Auto Racing Helmet. Automobile racing,...Ch. 14.8 - Given are data for two variables, x and y. a....Ch. 14.8 - Prob. 46ECh. 14.8 - Restaurant Advertising and Revenue. Data on...Ch. 14.8 - Experience and Sales. Refer to exercise 7, where...Ch. 14.8 - Buy Versus Rent. Occasionally, it has been the...Ch. 14.9 - Consider the following data for two variables, x...Ch. 14.9 - Consider the following data for two variables, x...Ch. 14.9 - Predicting Charity Expenses. Charity Navigator is...Ch. 14.9 - Supermarket Checkout Lines. Retail chain Kroger...Ch. 14.9 - Valuation of a Major League Baseball Team. The...Ch. 14 - 55. Does a high value of r2 imply that two...Ch. 14 - Prob. 56SECh. 14 - What is the purpose of testing whether 1 = 0? If...Ch. 14 - Stock Market Performance. The Dow Jones Industrial...Ch. 14 - Home Sire and Price. Is the number of square feet...Ch. 14 - Online Education. One of the biggest changes in...Ch. 14 - Machine Maintenance. Jensen Tire & Auto is in the...Ch. 14 - Production Rate and Quality Control. In a...Ch. 14 - Absenteeism and Location. A sociologist was hired...Ch. 14 - Bus Maintenance. The regional transit authority...Ch. 14 - Studying and Grades. A marketing professor at...Ch. 14 - Market Beta. Market betas for individual stocks...Ch. 14 - Income and Percent Audited. The Transactional...Ch. 14 - Used Car Mileage and Price. The Toyota Camry is...Ch. 14 - One measure of the risk or volatility of an...Ch. 14 - As part of a study on transportation safety, the...Ch. 14 - Consumer Reports tested 166 different...Ch. 14 - When trying to decide what car to buy, real value...Ch. 14 - Buckeye Creek Amusement Park is open from the...
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- 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, yˆ=b0+b1x�^=�0+�1�, 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 11 1.51.5 2.52.5 33 44 4.54.5 55 Midterm Grades 6666 6969 7575 7979 9090 9595 9898 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.…arrow_forwardThe 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, yˆ=b0+b1x�^=�0+�1�, 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 3 3.5 4 4.5 5 Midterm Grades 60 66 73 76 78 84 90 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=2�=2. Round your answer to three decimal places. Step 4 of 6: Substitute the values you found in steps 1 and 2 into the equation for the regression line to find the estimated…arrow_forwardThe 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, 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 0.5 1.5 2 2.5 3 4.5 5 5.5 6 Midterms Grades 60 63 64 69 73 76 82 90 91 95 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: Determine if the statement "All points predicted by the linear model fall on the same line" is true or false Step 4 of 6:…arrow_forward
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