Statistics for Business & Economics, Revised (with XLSTAT Education Edition Printed Access Card)
13th Edition
ISBN: 9781337094160
Author: David R. Anderson, Dennis J. Sweeney, Thomas A. Williams, Jeffrey D. Camm, James J. Cochran
Publisher: Cengage Learning
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Textbook Question
Chapter 16.4, Problem 18E
Jeff Sagarin has been providing sports ratings for USA today since 1985. In baseball his predicted RPG (runs/game) statistic takes into account the entire player’s offensive statistics, and is claimed to be the best measure of a player’s true offensive value. The following data show the RPG and a variety of offensive statistics for a recent Major League Baseball (MLB) season for 20 members of the New York Yankees. The labels on columns are defined as follows: RPG, predicted runs per game statistic; H, hits; 2B, doubles; 3B, triples; HR, home runs; RBI, runs batted in; BB, bases on balls (walks); SO, strikeouts; SB, stolen bases; CS, caught stealing; OBP, on-base percentage; SLG, slugging percentage; and AVG, batting average.
| Player | RPG | H | 2B | 3B | HR | RBI | BB | SO | SB | CS | OBP | SLG | AVG |
| D Jeter | 6.51 | 202 | 25 | 5 | 19 | 70 | 77 | 117 | 14 | 5 | .3S9 | .450 | .309 |
| H Matsui | 6.32 | 192 | 45 | 3 | 23 | 116 | 63 | 7S | 2 | 2 | .367 | .496 | .305 |
| A Rodriguez | 9.06 | 194 | 29 | 1 | 4S | 130 | 91 | 139 | 21 | 6 | .421 | .610 | .321 |
| G Sheffield | 6.93 | 170 | 27 | 0 | 34 | 123 | 7S | 76 | 10 | 2 | .379 | .512 | .291 |
| R Cano | 5.01 | 155 | 34 | 4 | 14 | 62 | 16 | 6S | 1 | 3 | .320 | .45S | .297 |
| B Williams | 4.14 | 121 | 19 | 1 | 12 | 64 | 53 | 75 | 1 | 2 | .321 | .367 | .249 |
| J Posada | 5.36 | 124 | 23 | 0 | 19 | 71 | 66 | 94 | 1 | 0 | .352 | .430 | .262 |
| J Giambi | 9.11 | 113 | 14 | 0 | 32 | S7 | 10S | 109 | 0 | 0 | .440 | .535 | .271 |
| T Womack | 2.91 | S2 | S | 1 | 0 | 15 | 12 | 49 | 27 | 5 | .276 | .2S0 | .249 |
| T Martinez | 5.0S | 73 | 9 | 0 | 17 | 49 | 3S | 54 | 2 | 0 | .32S | .439 | .241 |
| M Bellhorn | 4.07 | 63 | 20 | 0 | S | 30 | 52 | 112 | 3 | 0 | .324 | .357 | .210 |
| R Sierra | 3.27 | 39 | 12 | 0 | 4 | 29 | 9 | 41 | 0 | 0 | .265 | .371 | .229 |
| J Flaherty | 1.S3 | 21 | 5 | 0 | 2 | 11 | 6 | 26 | 0 | 0 | .206 | .252 | .165 |
| B Crosby | 3.4S | 27 | 0 | 1 | 1 | 6 | 4 | 14 | 4 | 1 | .304 | .327 | .276 |
| M Lawton | 5.15 | 6 | 0 | 0 | 2 | 4 | 7 | S | 1 | 0 | .263 | .250 | .125 |
| R Sanchez | 3.36 | 12 | 1 | 0 | 0 | 2 | 2 | 3 | 0 | 1 | .326 | .302 | .279 |
| A Phillips | 2.13 | 6 | 4 | 0 | 1 | 4 | 1 | 13 | 0 | 0 | .171 | .325 | .150 |
| M Cabrera | 1.19 | 4 | 0 | 0 | 0 | 0 | 0 | 2 | 0 | 0 | .211 | .211 | .211 |
| R Johnson | 3.44 | 4 | 2 | 0 | 0 | 0 | 1 | 4 | 0 | 0 | .300 | .333 | .222 |
| F Escalona | 5.31 | 4 | 1 | 0 | 0 | 2 | 1 | 4 | 0 | 0 | .375 | .357 | .2S6 |
Let the dependent variable be the RPG statistic.
- a. Develop the best one-variable estimated regression equation.
- b. Use the methods in this section to develop the best estimated multiple regression equation for predicting a player’s RPG.
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Worksheet 10
Jesse runs a small business selling and delivering mealie meal to the spaza shops.
He charges a fixed rate of R80, 00 for delivery and then R15, 50 for each packet of
mealle meal he delivers. The table below helps him to calculate what to charge
his customers.
10
20
30
40
50
Packets of mealie
meal (m)
Total costs in Rands
80
235
390
545
700
855
(c)
10.1.
Define the following terms:
10.1.1. Independent Variables
10.1.2. Dependent Variables
10.2.
10.3.
10.4.
10.5.
Determine the independent and dependent variables.
Are the variables in this scenario discrete or continuous values? Explain
What shape do you expect the graph to be? Why?
Draw a graph on the graph provided to represent the information in the
table above.
TOTAL COST OF PACKETS OF MEALIE MEAL
900
800
700
600
COST (R)
500
400
300
200
100
0
10
20
30
40
60
NUMBER OF PACKETS OF MEALIE MEAL
Let X be a random variable with support SX = {−3, 0.5, 3, −2.5, 3.5}. Part ofits probability mass function (PMF) is given bypX(−3) = 0.15, pX(−2.5) = 0.3, pX(3) = 0.2, pX(3.5) = 0.15.(a) Find pX(0.5).(b) Find the cumulative distribution function (CDF), FX(x), of X.1(c) Sketch the graph of FX(x).
Chapter 16 Solutions
Statistics for Business & Economics, Revised (with XLSTAT Education Edition Printed Access Card)
Ch. 16.1 - Consider the following data for two variables, x...Ch. 16.1 - Consider the following data for two variables, x...Ch. 16.1 - Prob. 3ECh. 16.1 - A highway department is studying the relationship...Ch. 16.1 - In working further with the problem of exercise 4,...Ch. 16.1 - A study of emergency service facilities...Ch. 16.1 - In 2011, home prices and mortgage rates fell so...Ch. 16.1 - Corvette, Ferrari, and Jaguar produced a variety...Ch. 16.1 - Kiplingers Personal Finance Magazine rated 359...Ch. 16.2 - In a regression analysis involving 27...
Ch. 16.2 - In a regression analysis involving 30...Ch. 16.2 - The Ladies Professional Golfers Association (LPGA)...Ch. 16.2 - Refer to exercise 12. a. Develop an estimated...Ch. 16.2 - A 10-year study conducted by the American Heart...Ch. 16.2 - In baseball, an earned run is any run that the...Ch. 16.4 - A study provided data on variables that may be...Ch. 16.4 - Prob. 17ECh. 16.4 - Jeff Sagarin has been providing sports ratings for...Ch. 16.4 - Prob. 19ECh. 16.5 - Consider a completely randomized design involving...Ch. 16.5 - Prob. 21ECh. 16.5 - Prob. 22ECh. 16.5 - The Jacobs Chemical Company wants to estimate the...Ch. 16.5 - Four different paints are advertised as having the...Ch. 16.5 - An automobile dealer conducted a test to determine...Ch. 16.5 - A mail-order catalog firm designed a factorial...Ch. 16.6 - The following data show the daily closing prices...Ch. 16.6 - Refer to the Cravens data set in Table 16.5. In...Ch. 16 - A sample containing years to maturity and yield...Ch. 16 - Consumer Reports tested 19 different brands and...Ch. 16 - A study investigated the relationship between...Ch. 16 - Refer to the data in exercise 31. Consider a model...Ch. 16 - Refer to the data in exercise 31. a. Develop an...Ch. 16 - Prob. 34SECh. 16 - Rating Wines from the Piedmont Region of Italy...
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