Probability and Statistics for Engineering and the Sciences
9th Edition
ISBN: 9781305251809
Author: Jay L. Devore
Publisher: Cengage Learning
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Question
Chapter 13, Problem 75SE
a.
To determine
Identify whether the quadratic model is useful for establishing the relationship between plant height and effect of manganese (Mn).
Test by using necessary hypotheses.
b.
To determine
Identify whether the quadratic predictor should be eliminated.
c.
To determine
Find the expected height when the manganese takes 10
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13) Use computer software to find the multiple regression equation. Can the equation be used for
prediction? An anti-smoking group used data in the table to relate the carbon monoxide( CO)
of various brands of cigarettes to their tar and nicotine (NIC) content.
13).
CO TAR
NIC
15
1.2
16
15
1.2
16
17
1.0
16
6.
0.8
1
0.1
1
8.
0.8
8.
10
0.8
10
17
1.0
16
15
1.2
15
11
0.7
9.
18
1.4
18
16
1.0
15
10
0.8
9.
0.5
18
1.1
16
A) CO = 1.37 + 5.50TAR – 1.38NIC; Yes, because the P-value is high.
B) CÓ = 1.37 - 5.53TAR + 1.33NIC; Yes, because the R2 is high.
C) CO = 1.25 + 1.55TAR – 5.79NIC; Yes, because the P-value is too low.
D) CO = 1.3 + 5.5TAR - 1.3NIC; Yes, because the adjusted R2 is high.
%3D
The article "Earthmoving Productivity Estimation Using Linear Regression Techniques" (S.
Smith, Journal of Construction Engineering and Management, 1999:133–141) presents the
following linear model to predict earth-moving productivity (in m3 moved per hour):
Productivity = - 297.877 + 84.787x, + 36.806x, + 151.680x, – 0.081x, – 110.517x5
- 0.267.x, – 0.016x,x, +0.107.x,x5 + 0.0009448x,x, – 0.244x;x,
where
X1 = number of trucks
X2 = number of buckets per load
X3 = bucket volume, in m³
X4 = haul length, in m
X5 = match factor (ratio of hauling capacity to loading capacity)
X6 = truck travel time, in s
If the bucket volume increases by 1 m², while other independent variables are
unchanged, can you determine the change in the predicted productivity? If so,
determine it. If not, state what other information you would need to determine it.
b. If the haul length increases by 1 m, can you determine the change in the predicted
productivity? If so, determine it. If not, state what other…
a) We conduct a regression of size on hhinc, owner, hhsize, hhsize2,and hhsize3. We do not include the constant. The regression output is reported in Table 3. Would you conclude that the home size increases with the household size? Interpret the sign and magnitude of the estimated coefficients of hhsize1, hhsize2, and hhsize3.
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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- An engineer performed an experiment to determine the effect of CO2 pres- sure, CO, temperature, peanut moisture, CO2 flow rate, and peanut particle size on the total yield of oil per batch of peanuts. Table B.7 summarizes the experimental results. e. Find a 95% CI for the regression coefficient for temperature for both models in part d. Discuss any differences.arrow_forwardAttached to the end of the page is a portion of a printout from a stepwise regression analysis. a) Any of the F statistics on the printout can be computed via the formula: F = (SSReg( Model A ) – SSReg( Model B ) ) / C MSResidual( Model A) Identify what Model A, Model B, and the constant C are in order to obtain the F = 1.33 value for the variable x8 . b) Based on the printout for Step 6 of the stepwise selection procedure, what will be the next change in the model, in Step 7 of the procedure? (In other words, will a particular term be dropped, or added, or will nothing occur? Assume that the significance level for entry and staying are a = .15.)arrow_forward2. The authors of the paper "Age, Spacing and Growth Rate of Tamarix as an Indication of Lake Boundary Fluctuations at Sebkhet Kelbia, Tunisia" (J. of Arid Environ. (1982):43- 51) used a simple linear regression model to describe the relationship between y = vigor (average width in centimeters of the last two annual rings) and x (stems/m?). Data on which the estimated model was based is as follows. 4 = stem density 6 9 14 15 15 19 21 22 y .75 1.20 .55 .60 .65 .55 .35 .45 .40 Construct a scatter plot for the data. a) b) Find the estimated regression line and draw it on your scatter plot. Determine and interpret the coefficient of determination. c) d) What is your estimate of the average change in vigor associated with a 1-unit increase in stem density? What would you predict vigor to be for a plant whose density was 17 stems/m2? e)arrow_forward
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