Introduction To Statistics And Data Analysis
6th Edition
ISBN: 9781337793612
Author: PECK, Roxy.
Publisher: Cengage Learning,
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Textbook Question
Chapter 14, Problem 65CR
The accompanying data on y = Glucose concentration (g/L) and x = Fermentation lime (days) for a particular blend of malt liquor were read from a
- a. Construct a scatterplot for these data. Based on the scatterplot, what type of model would you suggest?
- b. Minitab output resulting from fitting a multiple regression model with x1 = x and x2 = x2 is shown here. Does this quadratic model specify a useful relationship between y and x?
The regression equation is
Y = 84.5 − 15.9X1 + 1.77X2
- c. Could the quadratic term be eliminated? That is, would a simple linear model have sufficed? Test using a 0.05 significance level.
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The article "Lead Dissolution from Lead Smelter Slags Using Magnesium Chloride
Solutions" (A. Xenidis, T. Lillis, and I. Hallikia, The AusIMM Proceedings, 1999:37-14)
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Time (t)
4 8 16 30 60 120
Percent extracted (v) |1.2 1.6 2.3 2.8 3.6 4.4
a. The article suggests fitting a quadratic model y = Bo + B,t + Bz² + ɛ to these data. Fit
this model, and compute the standard deviations of the coefficients.
b. The reaction rate at time t is given by the derivative dy/dt = B, + 2B,t. Estimate the
time at which the reaction rate will be equal to 0.05.
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d. Can you conclude that the reaction rate is decreasing with time? Explain.
Consider the forecasting model with a simple, linear trend:
It = ß1 + Bzt + et
Where t is the index for t = 1, 2, ..., T. The OLS estimator of B1, B2 is:
E (4t – Ht)(t – t)
B2 =
Bi = y – Bạf
Where "bars" standards for the sample mean e.g. t = E-1 Yt.
a Using those formulas, derive the OLS estimator of the regression yt = a1+a2(t – 1) + Et. Compare to
Bị and B2.
81 + 82t + ɛt.
b Again, using those formulas, derive the OLS estimator of the regression Yt/1000
Compare to B1 and B2.
5.1 Application: Yo.
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Here is data for the amount of fat (in grams) for McDonald's chicken sandwiches:
Sandwich
McChicken Ⓒ
Premium Grilled Chicken Classic Sandwich
Premium Crispy Chicken Classic Sandwich
Premium Grilled Chicken Club Sandwich
Premium Crispy Chicken Club Sandwich
Premium Grilled Chicken Ranch BLT Sandwich
Premium Crispy Chicken Ranch BLT Sandwich
Southern Style Crispy Chicken Sandwich
Ranch Snack Wrap (Crispy)
Ranch Snack Wrap (Grilled)
Honey Mustard Snack Wrap (Crispy).
Honey Mustard Snack Wrap (Grilled)
Chipotle BBQ Snack Wrap (Crispy)
Chipotle BBQ Snack Wrap (Grilled)
Find the median and IQR.
M = type your answer...
IQR= type your answer...
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Fat
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17 g
28 g
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16 g
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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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