Elementary Statistics: Picturing the World (7th Edition)
7th Edition
ISBN: 9780134683416
Author: Ron Larson, Betsy Farber
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Concept explainers
Question
Chapter 9, Problem 1T
a.
To determine
To construct: The
b.
To determine
To construct: The scatterplot for the variables calories and fat.
c.
To determine
To construct: The scatterplot for the variables calories and carbohydrates.
d.
To determine
To construct: The scatterplot for the variables sugar and fat.
e.
To determine
To construct: The scatterplot for the variables sugar and carbohydrates.
f.
To determine
To construct: The scatterplot for the variables fat and carbohydrates.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
Does the higher cost of tuition translate into higher-paying jobs? The table lists 10 colleges based on
mid-career salary and the associated yearly tuition costs. (Comma separated lists of the data are
also provided below the table to ease in copying the data to R.)
Yearly Tuition (in thousands of dollars)
(x)
: 18, 25, 14, 25, 8, 12, 7, 13, 16, 23
y: 93, 125, 80, 129, 70, 82, 73, 128, 69, 143
1. Find the best fit line for the data.
y =
+
$
x
thousand
18
25
14
Question Help: D Post to forum
Submit Question
25
8
12
7
13
16
23
2. Graph the scatter plot of the data together with the best fit line using R. (This portion of the
problem is not graded.)
3. Predict the mid-career salary of a student attending a college with an annual tuition of $19
thousand.
Mid-career Salary (in thousands of dollars)
(y)
93
125
80
129
70
82
73
128
69
143
The electric power consumed each month by a chemical plant is thought to be related to the average ambient temperature (x₁), the
number of days in the month (x₂), the average product purity (x3), and the tons of product produced (x4). The past year's historical data
are available and are presented in the following table:
Y
240
236
270
274
301
316
270
296
267
276
288
261
25
31
45
60
65
72
80
84
75
60
50
38
X2
24
21
24
25
25
26
25
25
24
25
25
23
Fit a multiple linear regression to predict power (y) using x1, X2 X3, and X4.
Calculate R2 for this model. Round your answer to 3 decimal places.
91
90
88
87
91
94
87
86
88
91
90
89
X4
100
95
110
88
94
99
97
96
110
105
100
98
Rick is a school principal, and he is trying to decide if there is a relationship between conduct infractions
and the number of students present at school during the day when infractions occur. How should he set
up a scatterplot to help him see if there is a relationship?
O plot the number of infractions on the y-axis and the number of students present on the x-axis
O plot the number of infractions on the y-axis and the day of the week on the x-axis
O plot the number of infractions on the x-axis and the number of students present on the y-axis
O plot the number of infractions on the x-axis and the day of the week on the y-axis
Chapter 9 Solutions
Elementary Statistics: Picturing the World (7th Edition)
Ch. 9.1 - A director of alumni affairs at a small college...Ch. 9.1 - A researcher conducts a study to determine whether...Ch. 9.1 - Consider the data on page 469 on the salaries and...Ch. 9.1 - Calculate the correlation coefficient for the...Ch. 9.1 - Use technology to calculate the correlation...Ch. 9.1 - In Try It Yourself 4, you calculated the...Ch. 9.1 - In Try It Yourself 5, you calculated the...Ch. 9.1 - Two variables have a positive linear correlation....Ch. 9.1 - Describe the range of values for the correlation...Ch. 9.1 - What does the sample correlation coefficient r...
Ch. 9.1 - Give examples of two variables that have perfect...Ch. 9.1 - Explain how to determine whether a sample...Ch. 9.1 - Discuss the difference between r and p.Ch. 9.1 - What are the null and alternate hypotheses for a...Ch. 9.1 - In your own words, what does it mean to say...Ch. 9.1 - Graphical Analysis In Exercises 912, determine...Ch. 9.1 - Graphical Analysis In Exercises 912, determine...Ch. 9.1 - Graphical Analysis In Exercises 912, determine...Ch. 9.1 - Graphical Analysis In Exercises 912, determine...Ch. 9.1 - In Exercises 13 and 14, identify the explanatory...Ch. 9.1 - In Exercises 13 and 14, identify the explanatory...Ch. 9.1 - Graphical Analysis In Exercises 1518, the scatter...Ch. 9.1 - Graphical Analysis In Exercises 1518, the scatter...Ch. 9.1 - Graphical Analysis In Exercises 1518, the scatter...Ch. 9.1 - Graphical Analysis In Exercises 1518, the scatter...Ch. 9.1 - In Exercises 1922, two variables are given that...Ch. 9.1 - In Exercises 1922, two variables are given that...Ch. 9.1 - In Exercises 1922, two variables are given that...Ch. 9.1 - In Exercises 1922, two variables are given that...Ch. 9.1 - Constructing a Scatter Plot and Determining...Ch. 9.1 - Constructing a Scatter Plot and Determining...Ch. 9.1 - Constructing a Scatter Plot and Determining...Ch. 9.1 - Constructing a Scatter Plot and Determining...Ch. 9.1 - Constructing a Scatter Plot and Determining...Ch. 9.1 - Constructing a Scatter Plot and Determining...Ch. 9.1 - In Exercise 23, add data for a child who is 6...Ch. 9.1 - In Exercise 24, remove the data for the girl who...Ch. 9.1 - In Exercise 25, remove the data for the...Ch. 9.1 - In Exercise 26, add data for an international...Ch. 9.1 - The t-Test for Correlation Coefficients In...Ch. 9.1 - The t-Test for Correlation Coefficients In...Ch. 9.1 - The t-Test for Correlation Coefficients In...Ch. 9.1 - The t-Test for Correlation Coefficients In...Ch. 9.1 - Interchanging x and y In Exercise 26, let the time...Ch. 9.1 - Generate a new data set. Using your knowledge of...Ch. 9.1 - Describe how to create a data set with a value of...Ch. 9.1 - Describe how to create a data set with a value of...Ch. 9.1 - Try to create a data set with a value of r that is...Ch. 9.2 - Find the equation of the regression line for the...Ch. 9.2 - Use technology to find the equation of the...Ch. 9.2 - The regression equation for the Old Faithful data...Ch. 9.2 - What is a residual? Explain when a residual is...Ch. 9.2 - Two variables have a positive linear correlation....Ch. 9.2 - Explain how to predict y-values using the equation...Ch. 9.2 - For a set of data and a corresponding regression...Ch. 9.2 - In order to predict y-values using the equation of...Ch. 9.2 - Why is it not appropriate to use a regression line...Ch. 9.2 - In Exercises 712, match the description in the...Ch. 9.2 - In Exercises 712, match the description in the...Ch. 9.2 - In Exercises 712, match the description in the...Ch. 9.2 - In Exercises 712, match the description in the...Ch. 9.2 - In Exercises 712, match the description in the...Ch. 9.2 - In Exercises 712, match the description in the...Ch. 9.2 - Graphical Analysis In Exercises 1316, match the...Ch. 9.2 - Graphical Analysis In Exercises 1316, match the...Ch. 9.2 - Graphical Analysis In Exercises 1316, match the...Ch. 9.2 - Graphical Analysis In Exercises 1316, match the...Ch. 9.2 - Finding the Equation of a Regression Line In...Ch. 9.2 - Finding the Equation of a Regression Line In...Ch. 9.2 - Finding the Equation of a Regression Line In...Ch. 9.2 - Finding the Equation of a Regression Line In...Ch. 9.2 - Finding the Equation of a Regression Line In...Ch. 9.2 - Finding the Equation of a Regression Line In...Ch. 9.2 - Finding the Equation of a Regression Line In...Ch. 9.2 - Finding the Equation of a Regression Line In...Ch. 9.2 - Finding the Equation of a Regression Line In...Ch. 9.2 - Finding the Equation of a Regression Line In...Ch. 9.2 - Registered Nurse Salaries In Exercises 2730, use...Ch. 9.2 - Registered Nurse Salaries In Exercises 2730, use...Ch. 9.2 - Registered Nurse Salaries In Exercises 2730, use...Ch. 9.2 - Registered Nurse Salaries In Exercises 2730, use...Ch. 9.2 - Interchanging X and y In Exercises 31 and 32,...Ch. 9.2 - Interchanging X and y In Exercises 31 and 32,...Ch. 9.2 - In Exercises 33 and 34, (a) find the equation of...Ch. 9.2 - In Exercises 33 and 34, (a) find the equation of...Ch. 9.2 - In Exercises 35 and 36, (a) construct a scatter...Ch. 9.2 - Prob. 36ECh. 9.2 - Prob. 37ECh. 9.2 - Prob. 38ECh. 9.2 - Prob. 39ECh. 9.2 - Prob. 40ECh. 9.2 - Prob. 41ECh. 9.2 - Prob. 42ECh. 9.2 - Prob. 43ECh. 9.2 - Prob. 44ECh. 9.2 - Prob. 45ECh. 9.2 - Prob. 46ECh. 9.2 - Prob. 47ECh. 9.2 - Prob. 48ECh. 9.2 - Prob. 1ACh. 9.2 - Prob. 2ACh. 9.2 - Prob. 3ACh. 9.2 - Prob. 4ACh. 9.3 - The correlation coefficient for the Old Faithful...Ch. 9.3 - Prob. 2TYCh. 9.3 - Using the results of Example 2, construct a 95%...Ch. 9.3 - Graphical Analysis In Exercises 13, use the...Ch. 9.3 - Graphical Analysis In Exercises 13, use the...Ch. 9.3 - Graphical Analysis In Exercises 13, use the...Ch. 9.3 - The coefficient of determination r2 is the ratio...Ch. 9.3 - What is the coefficient of determination for two...Ch. 9.3 - Two variables have a bivariate normal...Ch. 9.3 - In Exercises 710, use the value of the correlation...Ch. 9.3 - In Exercises 710, use the value of the correlation...Ch. 9.3 - In Exercises 710, use the value of the correlation...Ch. 9.3 - In Exercises 710, use the value of the correlation...Ch. 9.3 - Finding the Coefficient of Determination and the...Ch. 9.3 - Finding the Coefficient of Determination and the...Ch. 9.3 - Finding the Coefficient of Determination and the...Ch. 9.3 - Finding the Coefficient of Determination and the...Ch. 9.3 - Finding the Coefficient of Determination and the...Ch. 9.3 - Finding the Coefficient of Determination and the...Ch. 9.3 - Finding the Coefficient of Determination and the...Ch. 9.3 - Finding the Coefficient of Determination and the...Ch. 9.3 - Finding the Coefficient of Determination and the...Ch. 9.3 - Finding the Coefficient of Determination and the...Ch. 9.3 - Constructing and Interpreting a Prediction...Ch. 9.3 - Constructing and Interpreting a Prediction...Ch. 9.3 - Constructing and Interpreting a Prediction...Ch. 9.3 - Constructing and Interpreting a Prediction...Ch. 9.3 - STEM Employment and Mean Wage The table shows the...Ch. 9.3 - Constructing and Interpreting a Prediction...Ch. 9.3 - Constructing and Interpreting a Prediction...Ch. 9.3 - Fund Assets The table shows the total assets (in...Ch. 9.3 - New-Vehicle Sales The table shows the numbers of...Ch. 9.3 - New-Vehicle Sales The table shows the numbers of...Ch. 9.3 - Old Vehicles In Exercises 3134, use the figure...Ch. 9.3 - Old Vehicles In Exercises 3134, use the figure...Ch. 9.3 - Old Vehicles In Exercises 3134, use the figure...Ch. 9.3 - Old Vehicles In Exercises 3134, use the figure...Ch. 9.3 - Prob. 35ECh. 9.3 - Prob. 36ECh. 9.3 - Prob. 37ECh. 9.3 - In Exercises 37 and 38, construct the indicated...Ch. 9.4 - A statistics professor wants to determine how...Ch. 9.4 - Use the regression equation found in Try It...Ch. 9.4 - Predicting y-Values In Exercises 14, use the...Ch. 9.4 - Predicting y-Values In Exercises 14, use the...Ch. 9.4 - Prob. 3ECh. 9.4 - Predicting y-Values In Exercises 14, use the...Ch. 9.4 - Finding a Multiple Regression Equation In...Ch. 9.4 - Finding a Multiple Regression Equation In...Ch. 9.4 - In Exercises 7 and 8, calculate r2adi and...Ch. 9.4 - In Exercises 7 and 8, calculate r2adi and...Ch. 9 - In Exercises 14, (a) display the data in a scatter...Ch. 9 - In Exercises 14, (a) display the data in a scatter...Ch. 9 - In Exercises 14, (a) display the data in a scatter...Ch. 9 - In Exercises 14, (a) display the data in a scatter...Ch. 9 - Prob. 9.1.5RECh. 9 - Prob. 9.1.6RECh. 9 - Prob. 9.1.7RECh. 9 - Prob. 9.1.8RECh. 9 - In Exercises 912, find the equation of the...Ch. 9 - Prob. 9.2.10RECh. 9 - In Exercises 912, find the equation of the...Ch. 9 - Prob. 9.2.12RECh. 9 - In Exercises 1316, use the value of the...Ch. 9 - Prob. 9.3.14RECh. 9 - Prob. 9.3.15RECh. 9 - Prob. 9.3.16RECh. 9 - Prob. 9.3.17RECh. 9 - Prob. 9.3.18RECh. 9 - Prob. 9.3.19RECh. 9 - Prob. 9.3.20RECh. 9 - Prob. 9.3.21RECh. 9 - In Exercises 1924, construct the indicated...Ch. 9 - Prob. 9.3.23RECh. 9 - Prob. 9.3.24RECh. 9 - Prob. 9.4.25RECh. 9 - Prob. 9.4.26RECh. 9 - Prob. 9.4.27RECh. 9 - Prob. 9.4.28RECh. 9 - Prob. 1CQCh. 9 - For Exercises 18, use the data in the table, which...Ch. 9 - Prob. 3CQCh. 9 - Prob. 4CQCh. 9 - Prob. 5CQCh. 9 - Prob. 6CQCh. 9 - Prob. 7CQCh. 9 - For Exercises 18, use the data in the table, which...Ch. 9 - Prob. 9CQCh. 9 - Net Sales The equation used to predict the net...Ch. 9 - For Exercises 29, use the data in the table, which...Ch. 9 - For Exercises 29, use the data in the table, which...Ch. 9 - For Exercises 29, use the data in the table, which...Ch. 9 - For Exercises 29, use the data in the table, which...Ch. 9 - For Exercises 29, use the data in the table, which...Ch. 9 - For Exercises 29, use the data in the table, which...Ch. 9 - For Exercises 29, use the data in the table, which...Ch. 9 - For Exercises 29, use the data in the table, which...Ch. 9 - Analyzing the Data (a) The data in the table show...Ch. 9 - Making Predictions Construct a 95% prediction...Ch. 9 - Prob. 1TCh. 9 - Prob. 2TCh. 9 - Prob. 3TCh. 9 - Prob. 4TCh. 9 - Prob. 5TCh. 9 - Use technology to find the multiple regression...Ch. 9 - Prob. 7T
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 dot plot below represents this set of data: 8, 7,5, 5, 4, 2, 3, 3, 4, 6, 5, 4, 5, 5 True False .. .. ..arrow_forwardCreate a histogram of the actors' age data using Excel First we need to define the bins that Excel will use to create the histogram. In this case, our minimum data point is 31, and our max is 76. We'll use a bin width of 5, and make bins from 30 to 80: In one of the columns near the data, enter these numbers: 30, 35, 40, 45, etc., up to 80. Now click the Data tab and select the Data Analysis button. Then choose Histogram in the resulting pop-up window and click OK. In the next window, click in the box next to Input Range and select the cells containing your data. Then click in the box next to Bin Range and then select the cells containing your bin information. Finally, check the box at the bottom of this window marked Chart Output, and then click OK. Excel will create a new worksheet containing the histogram and a table with the frequency counts. The histogram is usually pretty small; you can click on it and then drag one of the handles on the outside to enlarge it. Histograms…arrow_forwardHow does the number of attributes of a variable impact the number of cells in the cross-tabulation table and what does each cell represent?arrow_forward
- Complete parts (a) through (h) for the data below. x 20 30 40 50 60 D 50 y 80 75 71 64 (a) By hand, draw a scatter diagram treating x as the explanatory variable and y as the response variable. Choose the correct scatter diagram below. O A. _^) 70 10+ 10 (b) Find the equation of the line containing the points (30,75) and (60,50). y=x+ (Type integers or simplified fractions.) (c) Graph the line found in part (b) on the scatter diagram. Choose the correct graph below. OA. A 70 10+ N A) N. 70+ 10+ 0 (d) By hand, determine the least-squares regression line. II X+ (Round to three decimal places as needed.) (e) Graph the least-squares regression line on the scatter diagram. Choose the correct graph below. OA. IN 100 1. Q Q X Q Q G 100 Q (f) Compute the sum of the squared residuals for the line found in part (b). (Round to three decimal places as needed.) (g) Compute the sum of the squared residuals for the least-squares regression line found in part (d). (Round to three decimal places as…arrow_forwardHow many songs can a digital music player hold? The data below represent the memory x and the number of songs n. Complete parts (a) through (f) below. O A. O B. Memory, x (gigabytes) Number of Songs, An 19500- An 80어 8 1950 16 3900 32 7800 64 15600 80 19500 ..... Oc. (a) Plot the ordered pairs (x,n) in a Cartesian plane. Choose the correct graph on the right. An 80- An 19500- (b) Show that the number of songs n is a linear function of the memory x. A linear function has a constant average rate of change. The average rate of change between (8,1950) and (16,3900) is 19500 80 (Type an integer or a decimal.)arrow_forwardThe data indicate the number of wins and the number of goals scored for teams in the National Hockey League after the first month of the season. No. of wins, x B 5 6 9 10 0.885 Part: 0/3 9 Part 1 of 3 5 3 No. of goals, y 10 16 20 23 28 21 11 12 No. of wins, x 11 7 13 5 7 No. of goals, y 20 11 10 20 29 12 17 (a) Find the equation of regression line and draw the line on the scatter plot, but only if r is significant. Round the slope and y-intercept to four decimal places, if necessary. r (Choose one) significant at the 5% level. Xarrow_forward
- Subpart 1,2,3 and 4 was answered already. I need answer for 5,6 and 7arrow_forwardDoes the length of a surgery patient's stay in the hospital depend on the length of time the operation took? The table below gives the operative time (in hours) and the length of the hospital stay (in days) for 15 patients. (Comma separated lists of the data are also provided below the table to ease in copying the data to R.) Operative Time (x) Length of Hospital Stay (y) 9 13 6 8 8 15 5 7 10 29 1 0 6 7 6 : 9, 6, 8, 5, 10, 1, 6, 7, 6, 8, 3, 6, 5, 7, 8 y: 13, 8, 15, 7, 29, 0, 4, 15, 9, 14, 2, 21, 5, 15, 6 8 3 6 5 7 8 Ho:p=0 Ha:p0 (So we will be performing a two-tailed 4 15 9 P-value = N46 Step 3: Find the p-value of the point estimate. P(r? V = P(? V? V Submit Part 14 2 Conduct a hypothesis test with a 6% level of significance to determine whether or not the operative time and the length of a patient's hospital stay are correlated. Step 1: State the null and alternative hypotheses. 21 5 15 6 Step 2: Determine the features of the distribution used to test the significance of the…arrow_forwardFind the best-fit equation specified for the given set of data. a. {(1,0), (2,1), (4,2), (5,3)}, y = Bo + B,x b. {(1,0), (2,1), (4,2), (5,3)},y = Bo + B1x + B2x² c. {(4,1.58), (6,2.08), (8,2.5), (10,2.8), (12,3.1), (14,3.4), (16,3.8), (18,4.32)}, y = B1x + Bzx² + B3x³arrow_forward
- Enter the data in SPSS or EXCEL Merge the two data sets Once you have entered all the data, create a table to display the information Use any graphical method to present the data Comment on the findings Country May June July August Sept October Uganda 947 57 63 117 37 90 Kenya 411 42 55 100 85 49 Tanzania 521 72 02 116 52 46 Rwanda 753 55 15 89 4 14 Burundi 964 52 1 122 70 33 Ethiopia 327 6 26 135 17 24 Congo 967 6 7 113 90 53 Somalia 670 21 5 24 28 75 Eritrea 379 28 3 16 39 85 Country May June July August Sept. Oct. Sudan 39 5 38 11 82 86 Chad 44 10 93 11 101 187 Mali 25 30 67 21 132 82 Benin 47 37 44 10 44 21 Togo 49 31 116 11 31 18 Niger 23 40 37 13 88 18 Gambia 39 49 90 21 130 139…arrow_forwardThe quantity of dissolved oxygen is a measure of water pollutants in rivers. Water samples were taken at three different locations in a river. You want to investigate whether the water pollution varied between locations, the independent variable in this study is: A. quantity of dissolved oxygen. B. water samples. C. river locations. D. polluted river. Answer B.arrow_forwardThe height (sidewalk to roof) of notable tall buildings in America is compared to the number of stories of the building (beginning at street level). Height (in feet) Stories 1050 55 428 27 362 26 529 40 790 60 401 22 380 38 1454 110 1127 100 700 46 Part (a) Using "stories" as the independent variable and "height" as the dependent variable, make a scatter plot of the data. Part (b) Does it appear from inspection that there is a relationship between the variables? YesNo Part (c) Calculate the least squares line. Put the equation in the form of: ŷ = a + bx. (Round your answers to three decimal places.)ŷ = + x Part (d) Find the correlation coefficient r. (Round your answer to four decimal places.)r = Is it significant? Yes or No ? Part (e) Find the estimated height for 34 stories. (Use your equation from part (c). Round your answer to one decimal place.) ftFind the estimated height for 92 stories. (Use your equation…arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Big Ideas Math A Bridge To Success Algebra 1: Stu...AlgebraISBN:9781680331141Author:HOUGHTON MIFFLIN HARCOURTPublisher:Houghton Mifflin HarcourtGlencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw Hill
- Trigonometry (MindTap Course List)TrigonometryISBN:9781337278461Author:Ron LarsonPublisher:Cengage LearningHolt Mcdougal Larson Pre-algebra: Student Edition...AlgebraISBN:9780547587776Author:HOLT MCDOUGALPublisher:HOLT MCDOUGALFunctions and Change: A Modeling Approach to Coll...AlgebraISBN:9781337111348Author:Bruce Crauder, Benny Evans, Alan NoellPublisher:Cengage Learning
Big Ideas Math A Bridge To Success Algebra 1: Stu...
Algebra
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:Houghton Mifflin Harcourt
Glencoe Algebra 1, Student Edition, 9780079039897...
Algebra
ISBN:9780079039897
Author:Carter
Publisher:McGraw Hill
Trigonometry (MindTap Course List)
Trigonometry
ISBN:9781337278461
Author:Ron Larson
Publisher:Cengage Learning
Holt Mcdougal Larson Pre-algebra: Student Edition...
Algebra
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Functions and Change: A Modeling Approach to Coll...
Algebra
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Cengage Learning
Correlation Vs Regression: Difference Between them with definition & Comparison Chart; Author: Key Differences;https://www.youtube.com/watch?v=Ou2QGSJVd0U;License: Standard YouTube License, CC-BY
Correlation and Regression: Concepts with Illustrative examples; Author: LEARN & APPLY : Lean and Six Sigma;https://www.youtube.com/watch?v=xTpHD5WLuoA;License: Standard YouTube License, CC-BY