Statistical Techniques in Business and Economics
18th Edition
ISBN: 9781260579611
Author: Douglas Lind; William Marchal; Samuel Wathen
Publisher: MCGRAW-HILL HIGHER EDUCATION
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Chapter 13, Problem 30E
To determine
Obtain an ANOVA table for the
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on the first statistics exam, the coefficient of determination between the hours studied and the grade earned was 80%. the standard error of the estimate was 15. there were 20 students in the class. develop ANOVA table for the regression analysis of hours studied as a predictor of the grade earned on the first statistics exam.
Many high school students take either the SAT or the ACT. However, some students take both. Data were collected from 100 students who took both college entrance exams. The average SAT score was 920 with a standard deviation of 170. The average ACT score was 20 with a standard deviation of 5. The correlation coefficient r between these two variables equals 0.82.
To predict the SAT score from a student’s ACT score, what is the equation of the least-squares regression line? Please show your work.
In a recent college statistics class, data was collected on each student's height and their shoe size. The first three tables of the regression output are below the conclusions. Please agree or disagree with the conclusions and, of course, state your statistical reasoning
1. There is sufficient evidence to believe that a statistically significant relationship exists between a student's height and his/her shoe size.
2. About 80% of the variation in shoe size is determined by the variation in height
3. For each change in height of 0.3598 inches, the student’s shoe size changes by 1.
Chapter 13 Solutions
Statistical Techniques in Business and Economics
Ch. 13 - Prob. 1SRCh. 13 - Prob. 1ECh. 13 - Prob. 2ECh. 13 - Bi-lo Appliance Super-Store has outlets in several...Ch. 13 - Prob. 4ECh. 13 - Prob. 5ECh. 13 - The owner of Maumee Ford-Volvo wants to study the...Ch. 13 - Prob. 2SRCh. 13 - Prob. 7ECh. 13 - Prob. 8E
Ch. 13 - Prob. 9ECh. 13 - Prob. 10ECh. 13 - Prob. 11ECh. 13 - Prob. 12ECh. 13 - Prob. 3SRCh. 13 - Prob. 13ECh. 13 - Prob. 14ECh. 13 - Prob. 15ECh. 13 - Prob. 16ECh. 13 - Prob. 17ECh. 13 - Prob. 18ECh. 13 - Prob. 19ECh. 13 - Prob. 20ECh. 13 - Prob. 4SRCh. 13 - Prob. 21ECh. 13 - Prob. 22ECh. 13 - Prob. 23ECh. 13 - Prob. 24ECh. 13 - Prob. 5SRCh. 13 - Prob. 25ECh. 13 - Prob. 26ECh. 13 - Prob. 27ECh. 13 - Prob. 28ECh. 13 - Prob. 29ECh. 13 - Prob. 30ECh. 13 - Prob. 6SRCh. 13 - Prob. 31ECh. 13 - Prob. 32ECh. 13 - Prob. 33ECh. 13 - Refer to Exercise 16. a. Determine the .95...Ch. 13 - Prob. 35ECh. 13 - A regional commuter airline selected a random...Ch. 13 - Prob. 38CECh. 13 - Prob. 39CECh. 13 - Prob. 40CECh. 13 - Prob. 41CECh. 13 - Prob. 42CECh. 13 - Prob. 43CECh. 13 - Prob. 44CECh. 13 - The manufacturer of Cardio Glide exercise...Ch. 13 - Prob. 46CECh. 13 - Prob. 47CECh. 13 - Prob. 48CECh. 13 - Prob. 49CECh. 13 - Mr. William Profit is studying companies going...Ch. 13 - Prob. 51CECh. 13 - Prob. 54CECh. 13 - A regression analysis relating the current market...Ch. 13 - Prob. 56CECh. 13 - Prob. 57CECh. 13 - Prob. 58CECh. 13 - Prob. 59CECh. 13 - Prob. 60CECh. 13 - TravelAir.com samples domestic airline flights to...Ch. 13 - The North Valley Real Estate data reports...Ch. 13 - Prob. 64DA
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- For the following exercises, use Table 4 which shows the percent of unemployed persons 25 years or older who are college graduates in a particular city, by year. Based on the set of data given in Table 5, calculate the regression line using a calculator or other technology tool, and determine the correlation coefficient. Round to three decimal places of accuracyarrow_forwardConsider a certain data set on shoulder girth and height of a group of individuals. The mean shoulder girth is 107.20 cm with a standard deviation of 10.37 cm. The mean height is 171.14 cm with a standard deviation of 9.41 cm. The correlation between height and shoulder girth is 0.67. Write the equation of the regression line for predicting height.arrow_forwardThe mean height of American women in their twenties is about 64.3 inches, and the standard deviation is about 2.7 inches. The mean height of men the same age is about 69.9 inches, with standard deviation about 3.1 inches. Suppose that the correlation between the heights of husbands and wives is about r=0.5. What are the slope and intercept of the regression line of the husband’s height on the wife’s height in young couples? Interpret the slope in the context of the problem. Draw a graph of this regression line for heights of wives between 56 and 72 inches. Predict the height of the husband of a woman who is 67 inches tall and plot the wife’s height and predicted husband’s height on your graph. You don’t expect this prediction for a single couple to be very accurate. Why notarrow_forward
- The coefficient of determination of a set of data points is 0.87 and the slope of the regression line is -2.86. Determine the linear correlation coefficient of the data.arrow_forwardDefine errors of prediction in a scatter plot with a regression line?arrow_forwardThe new manager of an Information Technology company collected data for a sample of 20 computer programmers in the organization to perform a multiple regression analysis on the structure of their salaries. The aim of this manager in this exercise is to determine if the Salary (y) of a hired computer programmer was related to the years of Experience (??) in the organization and also the Score (??) of the programmers during their first interview aptitude test scores. The years of experience, score on the aptitude test and the corresponding annual salary (in thousands of Ghana cedis) for a sample of the 20 programmers is shown in the Regression statistics table below; Experience (??) (in years) Score (??) (out of 100%) Salary (y) (GH¢ 000) 4 78 24 7 100 43 1 86 23.7 5 82 34.3 8 86 35.8 10 84 38 0 75 22.2 1 80 23.1 6 83 30 6 91 33 9 88 38 2 73 26.6 10 75 36.2 5 81 31.6…arrow_forward
- The new manager of an Information Technology company collected data for a sample of 20 computer programmers in the organization to perform a multiple regression analysis on the structure of their salaries. The aim of this manager in this exercise is to determine if the Salary (y) of a hired computer programmer was related to the years of Experience (??) in the organization and also the Score (??) of the programmers during their first interview aptitude test scores. The years of experience, score on the aptitude test and the corresponding annual salary (in thousands of Ghana cedis) for a sample of the 20 programmers is shown in the Regression statistics table below; Experience (??) (in years) Score (??) (out of 100%) Salary (y) (GH¢ 000) 4 78 24 7 100 43 1 86 23.7 5 82 34.3 8 86 35.8 10 84 38 0 75 22.2 1 80 23.1 6 83 30 6 91 33 9 88 38 2 73 26.6 10 75 36.2 5 81 31.6…arrow_forwardThe coefficient of determination of a set of data points is 0.784 and the slope of the regression line is -4.79. Determine the linear correlation coefficient of the data. What is the linear correlation coefficient? r= (Round to three decimal places as needed.)arrow_forwardA team from UNHABITAT took a random sample of 230 households in a city to better understand how the size of a house (measured in metres) is related to the number of people living in that house. They performed a regression analysis on the data and found that regression model had an R² = 18.3%. What is the correlation between the size of a house and the number of people living in that house? 0.667 0.183 0.033 0.904 0.428arrow_forward
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