Introduction to Statistics and Data Analysis
5th Edition
ISBN: 9781305115347
Author: Roxy Peck; Chris Olsen; Jay L. Devore
Publisher: Brooks Cole
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Question
Chapter 14.3, Problem 50E
a.
To determine
Calculate the
b.
To determine
Test whether the model is useful or not.
c.
To determine
Interpret the value of
e.
To determine
Test if the linear and quadratic predictors are important or not and interpret the results.
e.
To determine
Calculate a 90% confidence interval for mean plant Mn and interpret it.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
Mist (airborne droplets or aerosols) is generated when metal-
removing fluids are used in machining operations to cool
and lubricate the tool and workpiece. Mist generation is a
concern to OSHA, which has recently lowered substantially
the workplace standard. The article "Variables Affecting
Mist Generaton from Metal Removal Fluids"
(Lubrication Engr., 2002: 10-17) gave the accompanying
data on x = fluid-flow velocity for a 5% soluble oil (cm/sec)
and y = the extent of mist droplets having diameters smaller
than 10 μm (mg/m³):
x
y
89 177 189 354 362 442 965
.40 .60 .48 .66 .61 .69 .99
a. The investigators performed a simple linear regres-
sion analysis to relate the two variables. Does a scat-
terplot of the data support this strategy?
b. What proportion of observed variation in mist can be
attributed to the simple linear regression relationship
between velocity and mist?
c. The investigators were particularly interested in the
impact on mist of increasing velocity from 100 to
1000 (a…
1. (Prob. 11-12, p. 438) An article in the Journal of Environmental Engineering (1989, Vol. 115(3), pp.
608–619) reported the results of a study on the occurrence of sodium and chloride in surface
streams in central Rhode Island. The following data are chloride concentration y (in milligrams per
liter) and roadway area in the watershed x (in percentage).
y
4.4
6.6
9.7
10.6
10.8
10.9
0.19
0.15
0.57
0.70
0.67
0.63
y
11.8
12.1
14.3
14.7
15.0
17.3
0.47
0.70
0.60
0.78
0.81
0.78
y
19.2
23.1
27.4
27.7
31.8
39.5
0.69
1.30
1.05
1.06
1.74
1.62
a.
Draw a scatter diagram of the data. Does a simple linear regression model seem appropriate
here?
b. Fit the simple linear regression model using the method of least squares. Find an estimate of
o?.
C.
Estimate the mean chloride concentration for a watershed that has 1% roadway area.
d. Find the fitted value corresponding to x = 0.47 and the associated residual.
The following data comes from a study on the effects of sunlight on pea plants, where x = distance (in centimeters) from an ultraviolet light source and y = sunburn index.
x
18
21
25
26
30
32
36
40
40
50
51
54
61
62
62
y
4.0
3.7
3.0
2.9
2.6
2.5
2.2
2.0
2.1
1.5
1.5
1.5
1.3
1.2
1.1
The Correlation Coefficient for this data is r = (3 decimals)
Use three words to describe this correlation: , ,
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 - Prob. 38ECh. 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...
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.Similar questions
- The weights (in pounds) of 6 vehicles and the variability of their braking distances (in feet) when stopping on a dry surface are shown in the table. Can you conclude that there is a significant linear correlation between vehicle weight and variability in braking distance on a dry surface? Use α=0.01. Weight, x 5930 5390 6500 5100 5890 4800 Variability in braking distance, y 1.76 1.95 1.91 1.62 1.64 1.50 1.Setup the hypothesis for the test. Choose a or b H0: ρ ▼ A.less than or equals≤ b.less than< c.equals= d.greater than> e.greater than or equals≥ f.not equals≠ 0 Ha: ρ ▼ A. less than or equals≤ b.less than< c.equals= d.greater than> e.greater than or equals≥ f.not equals≠ 0 2.Identify the critical value(s). Select the correct choice below and fill in any answer boxes within your choice. (Round to three decimal places as needed.) Fill the correct answer A. The critical value is= B. The critical…arrow_forward4.) A person's muscle mass is expected to decrease with age. To explore this relationship, a researcher randomly selected 10 persons from ages 40 to 79 years old and measured their muscle mass (unit). The result is as follows: X (age) Y (muscle mass) 71 64 43 67 56 73 68 56 76 65 82 91 100 68 87 73 78 80 65 84 Based on the given data, do the following: a) Plot the scatter diagram of the given data. [3pts] b) Obtain the regression line equation. [4pts] c) Estimate the muscle mass when age of the person is 60 years old. [3pts] 5.) Recognize how each shape has transformed. [2pts each] a.) b.) c.)arrow_forwardThe average life expectancy of tires 40,000 miles. The company has rece The manager hopes to find out wheth life test, 40 tires were used, and their following SPSS results: One-Sample Statistics Std. Dev Mean time 40881.8262 40 2945 One- df Sig. (2-taile 1.893 Set up Ho: M = 40,000 %3D HA: The test statistic is 1.893 The distribution of the test stati Make the statistical decision (o Express the statistical decisionarrow_forward
- The weights (in pounds) of 6 vehicles and the variability of their braking distances (in feet) when stopping on a dry surface are shown in the table. Can you conclude that there is a significant linear correlation between vehicle weight and variability in braking distance on a dry surface? Use α=0.01. Weight, x 5940 5390 6500 5100 5820 4800 Variability in braking distance, y 1.71 1.94 1.87 1.65 1.61 1.50 LOADING... Click here to view a table of critical values for Student's t-distribution. H0:ρ_____0 Ha:ρ____0 Identify the critical value(s). Select the correct choice below and fill in any answer boxes within your choice. (Round to three decimal places as needed.) A. The critical value is _____. B. The critical values are −t0=_____and t0=_____ Calculate the test statistic. t= (Round to three decimal places as needed.) What is your conclusion? There________enough evidence at the 5% level of…arrow_forwardFollowing are measurements of soil concentrations (in mg /kg) of chromium (Cr) and nickel (Ni) at20 sites in the area of Cleveland, Ohio. These data are taken from the article "Variation in NorthAmerican Regulatory Guidance for Heavy Metal Surface Soil Contamination at Commercial andIndustrial Sites" (A. Jennings and J. Ma, J. Environment Eng, 2007:587-609).Cr: 260 19 36 247 263 319 317 277 319 264 23 29 61 119 33 281 21 35 64 30Ni: 435 377 359 53 38 38 54 188 397 33 92 490 28 35 799 347 321 32 74 508 (d) Use these to construct comparative boxplots for the two sets of concentrations. (e) Using the boxplots, what differences can be seen between the two sets of concentrations?arrow_forward5.1 Application: Yo. e 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... C 54 do 5 % Fat 16 g 10 g 20 g 17 g 28 g 12 g 23 g 17 g 17 g 10 g 16 g 99 15 g 99 A 6 g g DELL & 7 O 8 O ( 9 % ) 0arrow_forward
- Ophthalmology Retinitis pigmentosa (RP) is a hereditary ocular disease in which patches of pigment appear on the retina, potentially resulting in substantial vision loss and in some cases complete blindness. An important issue is how fast the subjects decline. Visual field is an important measure of area of vision, which is measured in degree2. A visual field area for a normal person is around 11,000 degree2. The longitudinal data in Table 11.29 were provided by an individual patient. tablE 11.29 Longitudinal visual field data for one RP patient Time Visual field area ln Visit (yr) (degree2) (visual field area) 1 0 3059 8.03 2 1 3053 8.02 3 2 1418 7.26 4 3 1692 7.43 5 4 1978 7.59 6 5 1567 7.36 7 6 1919 7.56 8 7 1998 7.60 9 11 1648 7.41 10 13 1721 7.45 11 15 1264 7.14 mean 6.09 1938 7.532 sd 4.97 597 0.280 Suppose the rate of change of ln (visual field) is a linear function of follow-up time. 11.103 Write down a linear regression model that summarizes…arrow_forwardThe weights (in pounds) of 6 vehicles and the variability of their braking distances (in feet) when stopping on a dry surface are shown in the table. Can you conclude that there is a significant linear correlation between vehicle weight and variability in braking distance on a dry surface? Use α=0.05. Weight, x 5930 5330 6500 5100 5810 4800 Variability in braking distance, y 1.77 1.95 1.86 1.57 1.61 1.50 Setup the hypothesis for the test. choose H0: ρ ▼ less than or equals≤ less than< equals= greater than> greater than or equals≥ not equals≠ 0 Ha: ρ ▼ less than or equals≤ less than< equals= greater than> greater than or equals≥ not equals≠ 0 Identify the critical value(s). Select the correct choice below and fill in any answer boxes within your choice. (Round to three decimal places as needed.) A. The critical value is nothing. B. The critical values are −t0= and t0=. Calculate the test…arrow_forwardThe weights (in pounds) of 6 vehicles and the variability of their braking distances (in feet) when stopping on a dry surface are shown in the table. Can you conclude that there is a significant linear correlation between vehicle weight and variability in braking distance on a dry surface? Use α=0.05. Weight, x 5910 5390 6500 5100 5820 4800 Variability in braking distance, y 1.78 1.94 1.88 1.58 1.64 1.50arrow_forward
- An article in the Journal of Environmental Engineering (1989, Vol. 115(3), pp. 608–619) reported the results of a study on the occurrence of sodium and chloride in surface streams in central Rhode Island. The following data are chloride concentration y (in milligrams per liter) and roadway area in the watershed x (in percentage).arrow_forwardHello, may i please get help on g thank you!arrow_forwardSamples are collected from the River X and pH values are observed. 9 different pH values arelisted in table 3.Table 3Concentrations 4.2 3.8 6.0 3.5 8.1 4.9 4.1 3.2 4.0Draw box plot and finda. Bowley’s coefficient of skewnessb. Karl Pearson’s coefficient of skewnessc. Third momentRubricStages of Process MarksImagine and Plan 2Composition 2Effort 1arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Linear Algebra: A Modern IntroductionAlgebraISBN:9781285463247Author:David PoolePublisher:Cengage Learning
Glencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw Hill
Functions and Change: A Modeling Approach to Coll...AlgebraISBN:9781337111348Author:Bruce Crauder, Benny Evans, Alan NoellPublisher:Cengage Learning
Linear Algebra: A Modern Introduction
Algebra
ISBN:9781285463247
Author:David Poole
Publisher:Cengage Learning
Glencoe Algebra 1, Student Edition, 9780079039897...
Algebra
ISBN:9780079039897
Author:Carter
Publisher:McGraw Hill
Functions and Change: A Modeling Approach to Coll...
Algebra
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Cengage Learning
01 - What Is A Differential Equation in Calculus? Learn to Solve Ordinary Differential Equations.; Author: Math and Science;https://www.youtube.com/watch?v=K80YEHQpx9g;License: Standard YouTube License, CC-BY
Higher Order Differential Equation with constant coefficient (GATE) (Part 1) l GATE 2018; Author: GATE Lectures by Dishank;https://www.youtube.com/watch?v=ODxP7BbqAjA;License: Standard YouTube License, CC-BY
Solution of Differential Equations and Initial Value Problems; Author: Jefril Amboy;https://www.youtube.com/watch?v=Q68sk7XS-dc;License: Standard YouTube License, CC-BY