EBK MODERN BUSINESS STATISTICS WITH MIC
5th Edition
ISBN: 9780100475038
Author: williams
Publisher: YUZU
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Textbook Question
Chapter 15.2, Problem 2E
Consider the following data for a dependent variable y and two independent variables, x1 and x2.
- a. Develop an estimated regression equation relating y to x1. Predict y if x1 = 45.
- b. Develop an estimated regression equation relating y to x2. Predict y if x2 = 15.
- c. Develop an estimated regression equation relating y to x1 and x2. Predict y if x1 = 45 and x2 = 15.
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Given are five observations for two variables, x and y.
xi
1
2
3
4
5
yi
4
6
6
11
13
Develop the estimated regression equation by computing the values of
b0
and
b1
using
b1 =
Σ(xi − x)(yi − y)
Σ(xi − x)2
and
b0 = y − b1x.
ŷ =
(e)
Use the estimated regression equation to predict the value of y when
x = 2.
Given are five observations for two variables, x and y.
xi
3
12
6
20
14
yi
55
45
50
15
20
#1) Develop the estimated regression equation by computing the values of b0 and b1 using
b1 =
Σ(xi − x)(yi − y)
Σ(xi − x)2
and
b0 = y − b1x.
y=
#2) Use the estimated regression equation to predict the value of y when x = 13.
Consider the following data for two variables, x and y.
x
9
32
18
15
26
y
9
19
20
15
22
Develop an estimated regression equation for the data of the form
ŷ = b0 + b1x + b2x2.
(Round b0 to two decimal places and b1 to three decimal places and b2 to four decimal places.)
ŷ =
(c)
Use the model from part (b) to predict the value of y when
x = 20.
(Round your answer to two decimal places.)
Chapter 15 Solutions
EBK MODERN BUSINESS STATISTICS WITH MIC
Ch. 15.2 - 1. The estimated regression equation for a model...Ch. 15.2 - Consider the following data for a dependent...Ch. 15.2 - Prob. 3ECh. 15.2 - 4. A shoe store developed the following estimated...Ch. 15.2 - The owner of Showtime Movie Theaters, Inc. would...Ch. 15.2 - NFL Winning Percentage. The National Football...Ch. 15.2 - Prob. 7ECh. 15.2 - Scoring Cruise Ships. The Condé Nast Traveler Gold...Ch. 15.2 - The Professional Golfers Association (PGA)...Ch. 15.2 - Baseball Pitcher Performance. Major League...
Ch. 15.3 - 11. In exercise 1, the following estimated...Ch. 15.3 - 12. In exercise 2, 10 observations were provided...Ch. 15.3 - Prob. 13ECh. 15.3 - Prob. 14ECh. 15.3 - 15. In exercise 5, the owner of Showtime Movie...Ch. 15.3 - Prob. 16ECh. 15.3 - In part (d) of exercise 9, data contained in the...Ch. 15.3 - Prob. 18ECh. 15.5 - In exercise 1, the following estimated regression...Ch. 15.5 - Prob. 20ECh. 15.5 - Prob. 21ECh. 15.5 - Prob. 22ECh. 15.5 - Testing Significance in Theater Revenue. Refer to...Ch. 15.5 - Prob. 24ECh. 15.5 - The Condé Nast Traveler Gold List provides ratings...Ch. 15.5 - Prob. 26ECh. 15.6 - Prob. 27ECh. 15.7 - 32. Consider a regression study involving a...Ch. 15.7 - Prob. 33ECh. 15.7 - 34. Management proposed the following regression...Ch. 15.7 - Repair Time. Refer to the Johnson Filtration...Ch. 15.7 - Prob. 36ECh. 15.7 - The Consumer Reports Restaurant Customer...Ch. 15.8 - Prob. 40ECh. 15.8 - Exercise 5 gave the following data on weekly gross...Ch. 15.8 - The following table reports the price, horsepower,...Ch. 15.8 - Prob. 43ECh. 15 - 49. The admissions officer for Clearwater College...Ch. 15 - The personnel director for Electronics Associates...Ch. 15 - Prob. 46SECh. 15 - Recall that in exercise 44, the admissions officer...Ch. 15 - Recall that in exercise 45 the personnel director...Ch. 15 - Prob. 49SECh. 15 - Prob. 50SECh. 15 - Fortune magazine publishes an annual list of the...Ch. 15 - The National Basketball Association (NBA) records...Ch. 15 - Consumer Research, Inc., is an independent agency...Ch. 15 - Matt Kenseth won the 2012 Daytona 500, the most...Ch. 15 - When trying to decide what car to buy, real value...
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