Probability and Statistics for Engineering and the Sciences
9th Edition
ISBN: 9781305251809
Author: Jay L. Devore
Publisher: Cengage Learning
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Chapter 13.5, Problem 63E
To determine
Give suggestions for the appropriateness of using the model given in Exercise 53.
Explain whether it is meaningful to regress after the elimination of observation 7.
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The student is constructing a confidence interval for the slope of the least-squares regression line. Are the conditions for constructing this interval met?
A student is investigating the flight distance and airfare from Boston to several travel destinations. The cities were selected at random from a list of large cities. The scatterplot of airfare vs. flight distance, the residual plot of residual vs. flight distance, and the histogram of the residual values are shown.
Image 1: Attached
Image 2: Attached
Image 3: A histogram of residuals has residual on the x-axis, and frequency of residual on the y-axis. Negative 80, 1; negative 60, 1; negative 20, 1; 0, 4; 20, 3; 40, 1; 60, 1.
A. No, the observations are not independent of one another
B. No, the association between distance and airfare is not linear.
C. No, the distribution of residual values is not approximately Normal.
D. No, the variability in the residuals is not roughly consistent throughout the residual plot.
E. Yes,…
Consider the regression model Y = B0 + B1 X1 + B2 X2 + u. Suppose you want to
test the null hypothesis H0: B1 + B2 = 0, versus the alternative hypothesis H1: B1+
B2 != 0 (!= means "not equal to"). The data set consists of 100 observations.
(a) Suppose we use an F-statistic to conduct the test. What are the degrees of
freedom associated with this test statistic?
(b) Let G(.) be the CDF of the F-distribution for the F-statistic in part (b). Denote
the actual F-statistic by F_act. Suppose someone says that you should reject the null
at the 5% significance level if G(F_act)<0.05. Explain whether you agree with this
approach.
(c) Suppose you find that the F-test in part (b)-(c) and the test in part (a) yield
very different p-values. Do you think this result is correct? Briefly explain your
reasoning.
For a particular multiple linear regression analysis, there are ve predictor variables. A sample of size 37 is obtained on the five predictor variables and the response variable. It is found that SST = 1256 and SSE = 372.a. Construct the analysis of variance table for the analysis.b. Find R2 and interpret its value.c. Find the standard error of the estimate, se.d. At the 5% signicance level, do the data provide sufficient evidence to conclude that the ve predictor variables taken together are useful for predicting the response variable?e. State how useful you feel the regression equation is for making predictions about the response variable
Chapter 13 Solutions
Probability and Statistics for Engineering and the Sciences
Ch. 13.1 - Suppose the variables x = commuting distance and y...Ch. 13.1 - Prob. 2ECh. 13.1 - Prob. 3ECh. 13.1 - Prob. 4ECh. 13.1 - As the air temperature drops, river water becomes...Ch. 13.1 - The accompanying scatterplot is based on data...Ch. 13.1 - Prob. 7ECh. 13.1 - Prob. 8ECh. 13.1 - Consider the following four (x, y) data sets; the...Ch. 13.1 - a. Show that i=1nei=0 when the eis are the...
Ch. 13.1 - Prob. 11ECh. 13.1 - Prob. 12ECh. 13.1 - Prob. 13ECh. 13.1 - If there is at least one x value at which more...Ch. 13.2 - No tortilla chip aficionado likes soggy chips, so...Ch. 13.2 - Polyester fiber ropes are increasingly being used...Ch. 13.2 - The following data on mass rate of burning x and...Ch. 13.2 - Failures in aircraft gas turbine engines due to...Ch. 13.2 - Prob. 19ECh. 13.2 - Prob. 20ECh. 13.2 - Mineral mining is one of the most important...Ch. 13.2 - Prob. 22ECh. 13.2 - Prob. 23ECh. 13.2 - Kyphosis refers to severe forward flexion of the...Ch. 13.2 - Prob. 25ECh. 13.3 - The following data on y 5 glucose concentration...Ch. 13.3 - The viscosity (y) of an oil was measured by a cone...Ch. 13.3 - Prob. 29ECh. 13.3 - The accompanying data was extracted from the...Ch. 13.3 - The accompanying data on y 5 energy output (W) and...Ch. 13.3 - Prob. 32ECh. 13.3 - Prob. 33ECh. 13.3 - The following data resulted from an experiment to...Ch. 13.3 - The article The Respiration in Air and in Water of...Ch. 13.4 - Cardiorespiratory fitness is widely recognized as...Ch. 13.4 - A trucking company considered a multiple...Ch. 13.4 - Let y = wear life of a bearing, x1 = oil...Ch. 13.4 - Let y = sales at a fast-food outlet (1000s of ),...Ch. 13.4 - The article cited in Exercise 49 of Chapter 7 gave...Ch. 13.4 - The article A Study of Factors Affecting the Human...Ch. 13.4 - An investigation of a die-casting process resulted...Ch. 13.4 - Prob. 43ECh. 13.4 - The accompanying Minitab regression output is...Ch. 13.4 - The article Analysis of the Modeling Methodologies...Ch. 13.4 - A regression analysis carried out to relate y =...Ch. 13.4 - Efficient design of certain types of municipal...Ch. 13.4 - An experiment to investigate the effects of a new...Ch. 13.4 - Prob. 49ECh. 13.4 - Prob. 50ECh. 13.4 - The article Optimization of Surface Roughness in...Ch. 13.4 - Utilization of sucrose as a carbon source for the...Ch. 13.4 - Prob. 53ECh. 13.4 - Prob. 54ECh. 13.5 - The article The Influence of Honing Process...Ch. 13.5 - Prob. 56ECh. 13.5 - In the accompanying table, we give the smallest...Ch. 13.5 - Prob. 58ECh. 13.5 - Prob. 59ECh. 13.5 - Pillar stability is a most important factor to...Ch. 13.5 - Prob. 61ECh. 13.5 - Prob. 62ECh. 13.5 - Prob. 63ECh. 13.5 - Prob. 64ECh. 13 - Curing concrete is known to be vulnerable to shock...Ch. 13 - Prob. 66SECh. 13 - The article Validation of the Rockport Fitness...Ch. 13 - Feature recognition from surface models of...Ch. 13 - Air pressure (psi) and temperature (F) were...Ch. 13 - An aeronautical engineering student carried out an...Ch. 13 - An ammonia bath is the one most widely used for...Ch. 13 - The article An Experimental Study of Resistance...Ch. 13 - The accompanying data on x = frequency (MHz) and y...Ch. 13 - Prob. 74SECh. 13 - Prob. 75SECh. 13 - The article Chemithermomechanical Pulp from Mixed...Ch. 13 - Prob. 77SECh. 13 - Prob. 78SECh. 13 - Prob. 79SECh. 13 - Prob. 80SECh. 13 - Prob. 81SECh. 13 - Prob. 82SECh. 13 - Prob. 83SE
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