Introduction To Statistics And Data Analysis
6th Edition
ISBN: 9781337793612
Author: PECK, Roxy.
Publisher: Cengage Learning,
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Chapter 14.2, Problem 35E
This exercise requires the use of a statistical software package. The cotton aphid poses a threat to cotton crops. The accompanying data on
appeared in the article “Estimation of the Economic Threshold of Infestation for Cotton Aphid” (Mesopotamia Journal of Agriculture [1982]: 71–75). Use the data to find the estimated regression equation and assess the utility of the multiple regression model
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The cotton aphid poses a threat to cotton crops
in Iraq. The accompanying data on
y = infestation rate (aphids/100 leaves)
X1 = mean temperature (°C)
x, = mean relative humidity
appeared in the article “Estimation of the Economic
Threshold of Infestation for Cotton Aphid" (Mesopotamia
Journal of Agriculture [1982]: 71–75). Use the data to find
the estimated regression equation and assess the utility of
the multiple regression model
y = a + Bjx1 + Bx2 + e
y
X1
X2
y
X1
X2
61
21.0
57.0
77
24.8
48.0
87
28.3
41.5
93
26.0
56.0
98
27.5
58.0
100
27.1
31.0
104
26.8
36.5
118
29.0
41.0
102
28.3
40.0
74
34.0
25.0
63
30.5
34.0
43
28.3
13.0
27
30.8
37.0
19
31.0
19.0
14
33.6
20.0
23
31.8
17.0
30
31.3
21.0
25
33.5
18.5
67
33.0
24.5
40
34.5
16.0
34.3
6.0
21
34.3
26.0
18
33.0
21.0
23
26.5
26.0
42
32.0
28.0
56
27.3
24.5
60
27.8
39.0
59
25.8
29.0
82
25.0
41.0
89
18.5
53.5
77
26.0
51.0
102
19.0
48.0
108
18.0
70.0
97
16.3
79.5
Given: significance level = 0.05
Required:
1. Regression Equation
2. F and…
Would I use the regression line to predict Y from X ? And what is the pattern of the scatterplot?
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
Chapter 14 Solutions
Introduction To Statistics And Data Analysis
Ch. 14.1 - Prob. 1ECh. 14.1 - The authors of the paper Weight-Bearing Activity...Ch. 14.1 - Prob. 3ECh. 14.1 - Prob. 4ECh. 14.1 - Prob. 5ECh. 14.1 - Prob. 6ECh. 14.1 - Prob. 7ECh. 14.1 - Prob. 8ECh. 14.1 - Prob. 9ECh. 14.1 - The relationship between yield of maize (a type of...
Ch. 14.1 - Prob. 11ECh. 14.1 - A manufacturer of wood stoves collected data on y...Ch. 14.1 - Prob. 13ECh. 14.1 - Prob. 14ECh. 14.1 - Prob. 15ECh. 14.2 - Prob. 16ECh. 14.2 - State as much information as you can about the...Ch. 14.2 - Prob. 18ECh. 14.2 - Prob. 19ECh. 14.2 - Prob. 20ECh. 14.2 - The ability of ecologists to identify regions of...Ch. 14.2 - Prob. 22ECh. 14.2 - Prob. 23ECh. 14.2 - Prob. 24ECh. 14.2 - Prob. 25ECh. 14.2 - Prob. 26ECh. 14.2 - This exercise requires the use of a statistical...Ch. 14.2 - Prob. 28ECh. 14.2 - The article The Undrained Strength of Some Thawed...Ch. 14.2 - Prob. 30ECh. 14.2 - Prob. 31ECh. 14.2 - Prob. 32ECh. 14.2 - Prob. 33ECh. 14.2 - This exercise requires the use of a statistical...Ch. 14.2 - This exercise requires the use of a statistical...Ch. 14.3 - Prob. 36ECh. 14.3 - Prob. 37ECh. 14.3 - When Coastal power stations take in large amounts...Ch. 14.3 - Prob. 39ECh. 14.3 - The article first introduced in Exercise 14.28 of...Ch. 14.3 - Data from a random sample of 107 students taking a...Ch. 14.3 - Benevolence payments are monies collected by a...Ch. 14.3 - Prob. 43ECh. 14.3 - Prob. 44ECh. 14.3 - Prob. 45ECh. 14.3 - Prob. 46ECh. 14.3 - Exercise 14.26 gave data on fish weight, length,...Ch. 14.3 - Prob. 48ECh. 14.3 - Prob. 49ECh. 14.3 - Prob. 50ECh. 14.4 - Prob. 51ECh. 14.4 - Prob. 52ECh. 14.4 - The article The Analysis and Selection of...Ch. 14.4 - Prob. 54ECh. 14.4 - Prob. 55ECh. 14.4 - Prob. 57ECh. 14.4 - Prob. 58ECh. 14.4 - Prob. 59ECh. 14.4 - Prob. 60ECh. 14.4 - This exercise requires use of a statistical...Ch. 14.4 - Prob. 62ECh. 14 - Prob. 63CRCh. 14 - Prob. 64CRCh. 14 - The accompanying data on y = Glucose concentration...Ch. 14 - Much interest in management circles has focused on...Ch. 14 - Prob. 67CRCh. 14 - Prob. 68CRCh. 14 - Prob. 69CRCh. 14 - A study of pregnant grey seals resulted in n = 25...Ch. 14 - Prob. 71CRCh. 14 - Prob. 72CRCh. 14 - This exercise requires the use of a statistical...
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- The model developed from sample data that has the form of Yhat = bo +bjX is known as the multiple regression model with two predictor variables. (True or False) O True O Falsearrow_forwardAssume we have data demonstrating a strong linear link between the amount of fertilizer applied to certain plants and their yield. Which is the independent variable in this research question?arrow_forwardWe have data on Lung Capacity of persons and we wish to build a multiple linear regression model that predicts Lung Capacity based on the predictors Age and Smoking Status. Age is a numeric variable whereas Smoke is a categorical variable (0 if non-smoker, 1 if smoker). Here is the partial result from STATISTICA. b* Std.Err. of b* Std.Err. N=725 of b Intercept Age Smoke 0.835543 -0.075120 1.085725 0.555396 0.182989 0.014378 0.021631 0.021631 -0.648588 0.186761 Which of the following statements is absolutely false? A. The expected lung capacity of a smoker is expected to be 0.648588 lower than that of a non-smoker. B. The predictor variables Age and Smoker both contribute significantly to the model. C. For every one year that a person gets older, the lung capacity is expected to increase by 0.555396 units, holding smoker status constant. D. For every one unit increase in smoker status, lung capacity is expected to decrease by 0.648588 units, holding age constant.arrow_forward
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