INTRO.STATISTICS,TECH.UPDT.-W/MYSTATLAB
10th Edition
ISBN: 9780135230008
Author: WEISS
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Concept explainers
Textbook Question
Chapter A, Problem 14RP
Answer true or false to each of the following statements and explain your answers.
- a. If the F-test for the utility of a multiple linear regression equation rejects the null hypothesis, then each of the predictor variables in the regression equation is useful in predicting the response variable.
- b. The t-test for the utility of a particular predictor variable in a multiple linear regression equation can he affected by the other predictor variables in the equation.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
Answer true or false to each of the following statements and explain your answers.a. Prior knowledge about the relationship between the response variable and predictor variables should not be used in the model building process.b. It is never appropriate to use data from an observational study to perform a regression analysis.c. In multiple linear regression, there is no guarantee that the model building process will nd the “true” model relating the response variable to the predictor variables.
A vending machine company operates coffee vending machines in office buildings. The
company wants to study the relationship between the number of cups of coffee sold per day
and the number of persons working in each building. Data were collected were collected by
the company and presented below.
Number of Number of
Cups of
f. Make a copy of the scatter diagram in this item.
Draw the line that best fits in the scatter diagram using the
regression equation.
persons
Coffee Sold
working at
Location
g. Locate the (X,). Describe its location in relation to the other
plotted data.
15
20
10
15
h. Give a practical interpretation of the values of a and b.
16
20
i. Show that the regression equation can be expressed in the form:
(y - y) = b(x - x)
18
25
22
30
A real estate developer wishes to study the relationship between the size of home a
client will purchase (in square feet) and other variables. Possible independent variables
include the family income, family size, whether there is a senior adult parent living with
the family (1 for yes, O for no), and the total years of education beyond high school for
the husband and wife. The sample information is reported below.
Family
Senior
Square
Feet
Income
Family
Parent
Education
(000s)
60.8
68.4
Size
2
4.
2,240
2,300
3,400
3,360
3,000
2,900
2
1
6
3.
104.5
3
4
89.3
4
72.2
4.
2
114
10
6.
4,100
2,520
4,200
2,800
7
125.4
8
83.6
8.
9.
133
2
10
95
3.
6.
Click here for the Excel Data File
a. Develop an appropriate multiple regression equation using stepwise regression. (Use
Excel data analysis and enter number of family members first, then their income and
delete any insignificant variables. Leave no cells blank - be certain to enter "O"
wherever required. R andR adj are in percent values. Round your…
Chapter A Solutions
INTRO.STATISTICS,TECH.UPDT.-W/MYSTATLAB
Ch. A.1 - A. 1 Regarding linear equations in two or more...Ch. A.1 - Fill in the blanks. a. The graph of a linear...Ch. A.1 - Consider a linear equation y = b0 + b1x1 + b2x2. ...Ch. A.1 - Prob. 4ECh. A.1 - Prob. 5ECh. A.1 - Prob. 6ECh. A.1 - Banquet Room Rental. The banquet room at the...Ch. A.1 - Prob. 8ECh. A.1 - In each of Exercises A.9A.12, a. determine the...Ch. A.1 - In each of Exercises A.9A.12, a. determine the...
Ch. A.1 - In each of Exercises A.9A.12, a. determine the...Ch. A.1 - In each of Exercises A.9A.12, a. determine the...Ch. A.1 - Prob. 13ECh. A.1 - Prob. 14ECh. A.1 - Prob. 15ECh. A.1 - In each of Exercises A.13A.22, you are given the...Ch. A.1 - Prob. 17ECh. A.1 - Prob. 18ECh. A.1 - In each of Exercises A.13A.22, you are given the...Ch. A.1 - Prob. 20ECh. A.1 - Prob. 21ECh. A.1 - In each of Exercises A.13A.22, you are given the...Ch. A.1 - In each of Exercises A.23A.30, we have identified...Ch. A.1 - Prob. 24ECh. A.1 - Prob. 25ECh. A.1 - Prob. 26ECh. A.1 - In each of Exercises A.23A.30, we have identified...Ch. A.1 - Prob. 28ECh. A.1 - Prob. 29ECh. A.1 - Prob. 30ECh. A.1 - Why is it often preferable to use more than one...Ch. A.1 - Grade Prediction. The Statistics Department at a...Ch. A.1 - Prob. 33ECh. A.1 - Blood Pressure Medication. A medical researcher...Ch. A.1 - Infant Mortality Rate. A social scientist wants to...Ch. A.2 - Regarding a scatterplot matrix: a. Identify two of...Ch. A.2 - Regarding the criterion used to decide tits a set...Ch. A.2 - Prob. 38ECh. A.2 - Regarding the variables in a multiple linear...Ch. A.2 - Answer true or false to the following statements...Ch. A.2 - In each of Exercises A.41 and A.42, a. construct...Ch. A.2 - In each of Exercises A.41 and A.42, a. construct...Ch. A.2 - Advertising and Sales. A household-appliance...Ch. A.2 - Corvette Prices. The data on age and price for 10...Ch. A.2 - Graduation Kales. Graduation rates and what...Ch. A.2 - Custom Home Resales. Hanna Properties specializes...Ch. A.2 - Advertising and Sales. Refer to Exercise A.43. Use...Ch. A.2 - Prob. 48ECh. A.2 - Graduation Rates. Refer to Exercise A.45. Use the...Ch. A.2 - Custom Home Resales. Refer to Exercise A.46. Use...Ch. A.3 - Fill in the blanks. a. A measure of total...Ch. A.3 - In this section we introduced a descriptive...Ch. A.3 - Suppose x1, x2, and x3 are predictor variables and...Ch. A.3 - State the four conditions required for making...Ch. A.3 - In each of Exercises A.55A.59, assume the...Ch. A.3 - In each of Exercises A.55A.59, assume the...Ch. A.3 - In each of Exercises A.55A.59, assume the...Ch. A.3 - Prob. 58ECh. A.3 - In each of Exercises A.55A.59, assume the...Ch. A.3 - Fill in the blanks. a. When a sum of squares is...Ch. A.3 - Answer true or false to the following statements...Ch. A.3 - For a particular multiple linear regression...Ch. A.3 - For a particular multiple linear regression...Ch. A.3 - Advertising and Sales. Refer to Exercise A.43 on...Ch. A.3 - Corvette Prices. Refer to Exercise A.44 on page...Ch. A.3 - Graduation Rates. Refer to Exercise A.45 on page...Ch. A.3 - Custom Home Resales. Refer to Exercise A.46 on...Ch. A.3 - Advertising and Sales. Refer to Exercise A.43 on...Ch. A.3 - Corvette Prices. Refer to Exercise A.44 on page...Ch. A.3 - Graduation Rates. Refer to Exercise A.45 on page...Ch. A.3 - Custom Home Resales. Refer to Exercise A.46 on...Ch. A.3 - Suppose that R2 = 1 for a data set. What can you...Ch. A.3 - Suppose that R2 = 0 for a data set. What can you...Ch. A.3 - Use the regression identity for multiple linear...Ch. A.4 - Explain why the predictor variables are useless as...Ch. A.4 - Prob. 76ECh. A.4 - What test statistic is used for a hypothesis test...Ch. A.4 - Answer line or false to the following statements...Ch. A.4 - Advertising and Sales. Refer to Exercise A.43 oil...Ch. A.4 - Prob. 80ECh. A.4 - Graduation Rates. Refer to Exercise A.45 on page...Ch. A.4 - Custom-Home Resales. Refer to Exercise A.46 on...Ch. A.4 - Advertising and Sales. Referring to Exercise A.79,...Ch. A.4 - Prob. 84ECh. A.4 - Graduation Rates. Referring to Exercise A.81, use...Ch. A.4 - Prob. 86ECh. A.5 - What two regression inferences did we discuss in...Ch. A.5 - Prob. 88ECh. A.5 - A sample multiple linear regression equation...Ch. A.5 - Answer true or false to the following statements...Ch. A.5 - Advertising and Sales. Refer to Exercise A.43 on...Ch. A.5 - Corvette Prices. Refer to Exercise A.44 on page...Ch. A.5 - Graduation Rates. Refer to Exercise A.45 on page...Ch. A.5 - Custom-Home Resales. Refer to Exercise A.46 on...Ch. A.5 - Advertising and Sales. Referring to Exercise A.91,...Ch. A.5 - Corvette Sales. Referring to Exercise A.92, use...Ch. A.5 - Graduation Rates. Referring to Exercise A.93, use...Ch. A.5 - Custom-Home Resales. Referring to Exercise A.94,...Ch. A.6 - Fill in the blanks. a. In multiple linear...Ch. A.6 - Describe the difference between a residual and a...Ch. A.6 - Fill in the blanks. a. In multiple linear...Ch. A.6 - Answer true or false to the following statements...Ch. A.6 - Prob. 103ECh. A.6 - Corvette Prices. Refer to Exercise A.44 on page...Ch. A.6 - Advertising and Sales. Refer to Exercise A.43 on...Ch. A.6 - Corvette Prices. Refer to Exercise A.44 on page...Ch. A.6 - Graduation Rates. Refer to Exercise A.45 on page...Ch. A.6 - Custom-Homes Resales. Refer to Exercise A.46 on...Ch. A - For a linear equation y = b0 + b1x1 + b2x2 + b3x3,...Ch. A - Consider the linear equation y = 5 + 4x1 3x2. a....Ch. A - Answer true or false to each of the following...Ch. A - What kind of plot is useful for deciding whether...Ch. A - Prob. 5RPCh. A - Prob. 6RPCh. A - Regarding multiple linear regression analysis: a....Ch. A - Prob. 8RPCh. A - For each of the following sums of squares in...Ch. A - Prob. 10RPCh. A - Prob. 11RPCh. A - Suppose x1 and x2 are predictor variables for a...Ch. A - Fill in the blanks. a. The F-statistic for a test...Ch. A - Answer true or false to each of the following...Ch. A - Which interval is wider: (a) the 95% confidence...Ch. A - What plots did we use in this module to decide...Ch. A - Regarding analysis of residuals, decide in each...Ch. A - Annual Income. The Census Bureau collects data on...Ch. A - Annual Income. Refer to Problem 18 and the...Ch. A - Annual Income. Refer to Problem 18, Outputs...Ch. A - Recall from Chapter 1 (page 34 of your text) that...Ch. A - At the beginning of this module on page A-0, we...
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
- Olympic Pole Vault The graph in Figure 7 indicates that in recent years the winning Olympic men’s pole vault height has fallen below the value predicted by the regression line in Example 2. This might have occurred because when the pole vault was a new event there was much room for improvement in vaulters’ performances, whereas now even the best training can produce only incremental advances. Let’s see whether concentrating on more recent results gives a better predictor of future records. (a) Use the data in Table 2 (page 176) to complete the table of winning pole vault heights shown in the margin. (Note that we are using x=0 to correspond to the year 1972, where this restricted data set begins.) (b) Find the regression line for the data in part ‚(a). (c) Plot the data and the regression line on the same axes. Does the regression line seem to provide a good model for the data? (d) What does the regression line predict as the winning pole vault height for the 2012 Olympics? Compare this predicted value to the actual 2012 winning height of 5.97 m, as described on page 177. Has this new regression line provided a better prediction than the line in Example 2?arrow_forwardCellular Phone Subscribers The table shows the numbers of cellular phone subscribers y in millions in the United States from 2008 through 2013. Source: CTIA- The Wireless Association Year200820092010201120122013Number,y270286296316326336 (a) Find the least squares regression line for the data. Let x represent the year, with x=8 corresponding to 2008. (b) Use the linear regression capabilities of a graphing utility to find a linear model for the data. How does this model compare with the model obtained in part a? (c) Use the linear model to create a table of estimated values for y. Compare the estimated values with the actual data.arrow_forwardIn this section, we introduced a descriptive measure of the utility of the regression equation for making predictions. a. Identify the term and symbol for that descriptive measure. b. Provide an interpretation.arrow_forward
- what is the dependent and independent variables. fully write out the regression equation. fill in the missing values ‘*’, ‘**’, ‘***’and ‘****’ then test whether ᵟ is significant. give reason for your answer.arrow_forwardIn a useful simple linear regression analysis, the independent variable… is used to predict other independent variables is used to predict the dependent variable has no effect on the dependent variable is the variable that is being predicted using the regression equationarrow_forwardBill wants to explore factors affecting work stress. He would like to examine the relationship between age, number of years at the workplace, perceived social support, and work stress. He collects data on the variables from 100 employees (males and females) working in banks. The research question is How accurately can work stress be predicted from linear combination of the predictors (age, social support, number of years at the workplace)? Conduct a multiple regression analysis to answer the following questions: State the hypothesis for this study.arrow_forward
- A Moving to another questiof! Question 27 ry .dock Provide an appropriate response. In order for applicants to work for the foreign-service department, they must take a test in the language of the country where they plan to work. The data below shows the relationship between the number of years that applicants have studied a particular language and the grades they received on the proficiency exam. Find the equation of the regression line for the given data. DOCK tigation n.Lab Number of years, x Grades on test, y O - 6.910x- 46.261 reen Shot --05...3.58 PM O = 46.261x + 6.910 O = 46.261x -6.910 O - 6,910x + 46.261 Sterling's Daily Food Log.pdt W A Moving to another question will save this response. arling's lntakeS Question 27 of 28 > Goals Ans and Outs of Energy (1).docx Screen Shot 22-059.03 AM Screen 2022-05 AM Screen Shot x 2022-05.9.31 AM 2022-05.0.09 Screen Shoarrow_forwardi need a simple linear regression equation for miles per gallon as the response variable and weight as the predictor variable.arrow_forwardGiven below are results from the regression analysis where the dependent variable is the number of weeks a worker is unemployed due to a layoff (Unemploy) and the independent variables are the age of the worker (Age) and a dummy variable for management position (Manager: 1= yes, 0 = no). The results of the regression analysis are given below. E Click the icon to view the results. Determine whether the following statement is true or false: The null hypothesis should be rejected at a 10% level of significance when testing whether there is a significant relationship between the number of weeks a worker is unemployed due to a layoff and the entire set of explanatory variables. ... True Regression Statistics False Regression Statistics Multiple R 0.6391 R Square 0.4085 Adjusted R Square 0.3765 Standard Error 18.8929 Observations 40 ANOVA df MS Significance F Regression 2 9119.0897 4559.5448 12.7740 0.0000 Residual 37 13206.8103 356.9408 Total 39 22325.9 Coefficients Standard Error t Stat…arrow_forward
- The St. Lucian Government is interested in predicting the number of weekly riders on the public buses using the following variables: • • • • Price of bus trips per weekThe population in the cityThe monthly income of ridersAverage rate to park your personal vehicle Determine the multiple regression equation for the data. What is the predicted value of the number of weekly riders if: price of bus trips per week = $24; population = $2,000,000; the monthly income of riders = $13,500; and average rate to park your personal vehicle = $150. Interpret the coefficient of determination.arrow_forwardA real estate developer wishes to study the relationship between the size of home a client will purchase (in square feet) and other variables. Possible independent variables include the family income, family size, whether there is a senior adult parent living with the family (1 for yes, O for no), and the total years of education beyond high school for the husband and wife. The sample information is reported below. Family 1 2 3 4 5 6 7 8 9 10 Square Feet 2,200 2,300 3,400 3,360 3,000 2,900 4,100 Step Constant Family Size t-statistic 2,520 4,200 2,800 p-value Income t-statistic p-value S R-Sq R-Sq(adj) Click here for the Excel Data File Income (000s) 60.8 68.4 104.5 89.3 72.2 114 125.4 83.6 133 95 1 Family Size 2 3 3 4 4 3 6 3 5 3 Senior Parent 0 1 0 2 000онон ( 1 1 Education 4670NO ∞ 26 2 a. Develop an appropriate multiple regression equation using stepwise regression. (Use Excel data analysis and enter number of family members first, then their income and delete any insignificant…arrow_forwardWhich of the following statements is true about degrees of freedom in a multiple regression. Check all that apply a. The degrees of freedom for SSR is equal to the number of independent variables b. The degrees of freedom for SST is equal to the number of observations minus 1 c. The degrees of freedom for SST is equal to the number of independent variables d. The degrees of freedom for SSE is equal to the number of independent variablesarrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Elementary Linear Algebra (MindTap Course List)AlgebraISBN:9781305658004Author:Ron LarsonPublisher:Cengage LearningGlencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw Hill
- College AlgebraAlgebraISBN:9781305115545Author:James Stewart, Lothar Redlin, Saleem WatsonPublisher:Cengage LearningAlgebra and Trigonometry (MindTap Course List)AlgebraISBN:9781305071742Author:James Stewart, Lothar Redlin, Saleem WatsonPublisher:Cengage LearningFunctions and Change: A Modeling Approach to Coll...AlgebraISBN:9781337111348Author:Bruce Crauder, Benny Evans, Alan NoellPublisher:Cengage Learning
Elementary Linear Algebra (MindTap Course List)
Algebra
ISBN:9781305658004
Author:Ron Larson
Publisher:Cengage Learning
Glencoe Algebra 1, Student Edition, 9780079039897...
Algebra
ISBN:9780079039897
Author:Carter
Publisher:McGraw Hill
College Algebra
Algebra
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:Cengage Learning
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:Cengage Learning
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