EBK BUSINESS STATISTICS
7th Edition
ISBN: 8220102743984
Author: STEPHAN
Publisher: PEARSON
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Find the degrees of freedom in a regression model with an intercept term that has 88 observations and 7 explanatory variables.
A random sample of beef hotdogs was taken and the amount of sodium (in mg) and calories were measured.
The data are in the table. Create a scatter plot and find a regression equation between amount of calories
and amount of sodium. Then use the regression equation to find the amount of sodium a beef hotdog has if
it is 138 calories and if it is 100 calories. Which sodium level that you calculated do you think is closer to
the true sodium level? Why?
Calories and Sodium Levels in Beef Hotdogs
Calories
Sodium
181
477
114
296
184
440
164
495
149
374
180
526
137
251
170
482
133
350
Select the correct scatterplot.
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124010 15 120 125 18015 140 145 150 155 100 45 170 175 Jao Jas I80 4p.
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I4oio is 120 125 180 135 140 J45 J50 153 100 165 170o
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1240lio is 120 125 180 1 140 145 150 155 100 165 170 175 Jao Jas J0 4s.
The regression equation is y=
decimal places if necessary.)
(Round to two…
Professional basketball has truly become a sport that generates interest among fans around the world. More and more players come from outside the United States to play in the National Basketball Association (NBA). You want to develop a regression model to predict the number of wins achieved by each NBA team, based on field goal (shots made) percentage and three-point field goal percentage. The data are stored in NBA.xlsx .
TEAM
Wins
Field Goal %
Three-Point Field Goal %
Points Per Game
Rebound
Freedraw
Turnover
Houston Rockets
65
46
36.2
112.4
43.5
19.6
13.8
Toronto Raptors
59
47.2
35.8
111.7
44
17.3
13.4
Golden State Warriors
58
50.3
39.1
113.5
43.5
16.6
15.4
Boston Celtics
55
45
37.7
104
44.5
16
14
Philadelphia 76ers
52
47.2
36.9
109.8
47.4
17.1
16.5
Cleveland Cavaliers
50
47.6
37.2
110.9
42.1
18.1
13.7
Portland Trail Blazers
49
45.2
36.6
105.6
45.5
16.7
13.5
Indiana Pacers
48
47.2
36.9
105.6
42.3
14.9
13.3
New Orleans Pelicans
48
48.3
36.2
111.7
44.3
16.1
14.9…
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- Does Table 2 represent a linear function? If so, finda linear equation that models the data.arrow_forwardFind 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_forward
- If you are performing a break-even analysis for a business and their cost and revenue equations are dependent, explain what this means for the company's profit margins.arrow_forwardProfessional basketball has truly become a sport that generates interest among fans around the world. More and more players come from outside the United States to play in the National Basketball Association (NBA). You want to develop a regression model to predict the number of wins achieved by each NBA team, based on field goal (shots made) percentage and three-point field goal percentage. The data are stored in NBA.xlsx . TEAM Wins Field Goal % Three-Point Field Goal % Points Per Game Rebound Freedraw Turnover Houston Rockets 65 46 36.2 112.4 43.5 19.6 13.8 Toronto Raptors 59 47.2 35.8 111.7 44 17.3 13.4 Golden State Warriors 58 50.3 39.1 113.5 43.5 16.6 15.4 Boston Celtics 55 45 37.7 104 44.5 16 14 Philadelphia 76ers 52 47.2 36.9 109.8 47.4 17.1 16.5 Cleveland Cavaliers 50 47.6 37.2 110.9 42.1 18.1 13.7 Portland Trail Blazers 49 45.2 36.6 105.6 45.5 16.7 13.5 Indiana Pacers 48 47.2 36.9 105.6 42.3 14.9 13.3 New Orleans Pelicans 48 48.3 36.2 111.7 44.3 16.1 14.9…arrow_forwardWrite out the full linear model including all dummy variables below. Don’t worry about estimating regression coefficients just yet. Feel free to abbreviate variable names so long as they are clearly distinguishable.arrow_forward
- Provide an example of a business situation for which we may have to estimate a multiple linear regression model. Make sure to indicate the dependent and independent variables of the model. Also, make sure to provide the equations of the true linear model and estimated model.arrow_forwardCreate a Scatterplot of y against percentage of Pell Grant recipients among freshmen.arrow_forwardExplain why it is not a good idea to exclude an intercept, b0 , from any linear regression model?arrow_forward
- The average height of people in Faroe island is 180cm. Suppose you run a regression with no independent variables. What would be the estimated form of your regression?arrow_forwardThe regression equation is intended to be the “best fitting” straight line for a set of data. What is the criterion for “best fitting”?arrow_forwardDevelop an estimated multiple regression equation that relates risk of a stroke to a person's age, systolic blood pressure and whether the person is a smoker. x1=persons age x2systrolic blood pressure x3=whether person is a smoker or non smokerarrow_forward
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