Intro Stats
4th Edition
ISBN: 9780321826275
Author: Richard D. De Veaux
Publisher: PEARSON
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Chapter 8, Problem 8E
To determine
Explain the effect the point had on the regression to model Total Revenue from Advanced Sales.
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Stick the landing - Elite female gymnasts compete on 4 apparatus: Floor, Vault, Uneven Bars, and Balance Beam.
Simone is investigating the relationship between gymnasts' scores on the different apparatus. She collects a random sample of 75 gymnasts who competed in international competitions between the
years 2006 and 2019. For this problem we will look at the scores for the two apparatus, vault and balance beam.
Simone constructs a linear regression model using Score on Vault as the explanatory variable and Score on Balance Beam as the response variable. A scatterplot of Simone's data is shown.
Elite Womens Gymnastics
13.5
14.0
14.5
15.0
15.5
Score on Vault
Simone uses statistical software to fit a linear model to the data. A summary of that model fit is given below:
Coefficients
Estimate
Std Error
t value
Pr( > [t])
(Intercept)
3.511
2.663
1.319
0.191
Score on Vault
0.7283
0.1859
3.918
0.000199
Residual standard error: 0.908 on 73 degrees of freedom
Multiple R-squared: 0.1738,…
Bill wants to explore factors affecting work stress. He would like to examine the relationship between age, number of years at the workplace, perceived social support, and work stress. He collects data on the variables from 100 employees (males and females) working in banks.
The research question is
How accurately can work stress be predicted from linear combination of the predictors (age, social support, number of years at the workplace)?
Conduct a multiple regression analysis to answer the following questions:
State the hypothesis for this study.
Bill wants to explore factors affecting work stress. He would like to examine the relationship between age, number of years at the workplace, perceived social support, and work stress. He collects data on the variables from 100 employees (males and females) working in banks.
The research question is
How accurately can work stress be predicted from linear combination of the predictors (age, social support, number of years at the workplace)?
Conduct a multiple regression analysis to answer the following questions:
What is the regression equation for all the predictors?
Write a results section based on your analysis that answers the research question.
Chapter 8 Solutions
Intro Stats
Ch. 8.3 - Each of these scatterplots shows an unusual point....Ch. 8.3 - Prob. 2JCCh. 8.3 - Prob. 3JCCh. 8 - Credit card spending An analysis of spending by a...Ch. 8 - Prob. 2ECh. 8 - Prob. 3ECh. 8 - Prob. 4ECh. 8 - Prob. 5ECh. 8 - Prob. 6ECh. 8 - Prob. 7E
Ch. 8 - Prob. 8ECh. 8 - Prob. 9ECh. 8 - Prob. 10ECh. 8 - Skinned knees There is a strong correlation...Ch. 8 - Prob. 12ECh. 8 - Prob. 13ECh. 8 - Average GPA An athletic director proudly states...Ch. 8 - Prob. 15ECh. 8 - Prob. 16ECh. 8 - Good model? In justifying his choice of a model, a...Ch. 8 - Prob. 20ECh. 8 - Movie dramas Heres a scatterplot of the production...Ch. 8 - Prob. 22ECh. 8 - Prob. 23ECh. 8 - Prob. 24ECh. 8 - Unusual points Each of these four scatterplots...Ch. 8 - More unusual points Each of the following...Ch. 8 - Prob. 27ECh. 8 - Prob. 28ECh. 8 - Prob. 29ECh. 8 - Whats the effect? A researcher studying violent...Ch. 8 - Reading To measure progress in reading ability,...Ch. 8 - Prob. 32ECh. 8 - Heating After keeping track of his heating...Ch. 8 - Speed How does the speed at which you drive affect...Ch. 8 - Prob. 35ECh. 8 - Prob. 36ECh. 8 - Prob. 37ECh. 8 - Prob. 38ECh. 8 - Prob. 39ECh. 8 - Prob. 40ECh. 8 - Prob. 41ECh. 8 - Prob. 42ECh. 8 - 43. Marriage age 2010 revisited Suppose you wanted...Ch. 8 - Prob. 44ECh. 8 - Prob. 45ECh. 8 - Prob. 46ECh. 8 - Prob. 47ECh. 8 - Prob. 48E
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- Find the equation of the regression line for the following data set. x 1 2 3 y 0 3 4arrow_forwardOlympic Pole Vault The graph in Figure 7 indicates that in recent years the winning Olympic men’s pole vault height has fallen below the value predicted by the regression line in Example 2. This might have occurred because when the pole vault was a new event there was much room for improvement in vaulters’ performances, whereas now even the best training can produce only incremental advances. Let’s see whether concentrating on more recent results gives a better predictor of future records. (a) Use the data in Table 2 (page 176) to complete the table of winning pole vault heights shown in the margin. (Note that we are using x=0 to correspond to the year 1972, where this restricted data set begins.) (b) Find the regression line for the data in part ‚(a). (c) Plot the data and the regression line on the same axes. Does the regression line seem to provide a good model for the data? (d) What does the regression line predict as the winning pole vault height for the 2012 Olympics? Compare this predicted value to the actual 2012 winning height of 5.97 m, as described on page 177. Has this new regression line provided a better prediction than the line in Example 2?arrow_forwardBill wants to explore factors affecting work stress. He would like to examine the relationship between age, number of years at the workplace, perceived social support, and work stress. He collects data on the variables from 100 employees (males and females) working in banks. The research question is How accurately can work stress be predicted from linear combination of the predictors (age, social support, number of years at the workplace)? Conduct a multiple regression analysis to answer the following questions: What is the relationship of age, number of years, and social support with work stress? Is the regression significant? If yes, what does it indicate?arrow_forward
- A major brokerage company has an office in Miami, Florida. The manager of the office is evaluated based on the number of new clients generated each quarter. Data were collected that show the number of new customers added during each quarter between 2015 and 2018. A multiple regression model was developed with the number of new customers as the dependent and the following four independent variables: Period (1, …, 16): A variable that measures the trend; Q1 = 1 for first quarter, Q1 = 0 otherwise; Q2 = 1 for second quarter, Q2 = 0 otherwise; Q3 = 1 for third quarter, Q3 = 0 otherwise. Questions: 1. Explain each of the four slopes (Period, Q1, Q2, Q3). 2. How many new customers would you expect in the second quarter of the following year (2019)?arrow_forwardInterpret the slope and the y-intercept in the context of the problem.arrow_forwardA social scientist collects information about counties in California and finds that the correlation between average income of the county and a rating of healthcare quality in the county is 0.78. A scatterplot of the two variables is football shaped. A particular county has an average income that is 0.4 SDs above the average of all counties. Using regression, we would predict that its healthcare quality is _________ SDs above the average healthcare quality for all counties, and that it is therefore at the _________ percentile of healthcare quality among all counties. Choose the answer below to fill in the two blanks. Group of answer choices 0.31; 24th 0.78; 58th 0.78; 79th 0.31; 62nd PreviousNextarrow_forward
- You have been hired to help a large supermarket retail chain. they are trying to understand how aisle location of specialty pet food - whether specialty pet food is placed at the front or back of the aisle, and shelf space allocated to it (in square feet) affect its sales. An data analyst colleague provided the following regression analysis. Sales: weekly sales in $ (dependent variable) aisle location: 1 if the product was placed at the front of the aisle; 0 if the product was placed at the back of the aisle Shelf space: shelf space occupied by specialty pet food (in square feet) Use the attached regression analysis to answer the following questions: Question A. If two stores A and B had the same shelf space allocated to specialty pet food but store A placed this product at the front of the aisle whereas store B placed this product at the back of the aisle, which of these two stores would have higher sales of this specialty pet food? A or B? Question B Suppose that you have…arrow_forwardMark Price, the new productions manager for Speakers and Company, needs to find out which variable most affects the demand for their line of company speakers. He is uncertain whether the unit price of the product or the effects of increased marketing are the main drivers in sales and wants to use regression analysis to figure out which factor drives more demand for its particular market. Pertinent information was collected by an extensive marketing project that lasted over the past 12 years and was reduced to the data that follow: YEAR 1 2 3 4 5 6 7 B 9 10 11 12 UNIT SALES (THOUSANDS) 398 698 898 y bar 1,304 1,163 1,195 898 1,200 982 1,235 875 811 PRICE $ PER UNIT 283 209 213 220 209 200 220 209 230 213 216 243 ADVERTISING ($000) 621 821 1,200 1,405 1,210 1,304 875 1,200 691 875 691 691 a. Perform a regression analysis based on these data using Excel. Note: Negative values should be indicated by a minus sign. Round your answers to 4 decimal places. Price advertisingarrow_forwardCorvette, Ferrari, and Jaguar produced a variety of classic cars that continue to increase in value. The data showing the rarity rating (1–20) and the high price ($1000s) for 15 classic cars is contained in the Excel Online file below. Construct a spreadsheet to answer the following questions. Open spreadsheet Develop a scatter diagram of the data using the rarity rating as the independent variable and price as the dependent variable. Does a simple linear regression model appear to be appropriate? A simple linear regression model _________appearsdoes not appear to be appropriate. Develop an estimated multiple regression equation with rarity rating and as the two independent variables. (to whole numbers) What is the value of the coefficient of determination? Note: report between 0 and 1. (to 3 decimals) What is the value of the test statistic? (to 2 decimals) What is the -value? (to 4 decimals) Consider the nonlinear relationship shown by equation .…arrow_forward
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