Stats: Data and Models
5th Edition
ISBN: 9780135164013
Author: DeVeaux
Publisher: PEARSON CO
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Chapter R, Problem 1.4RE
To determine
Explain the appropriate display for the data.
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Here is data with as the response variable.
x y54.4 19.124.9 99.334.5 9.476.6 0.359.4 4.554.4 0.139.2 56.354 15.773.8 9-156.1 319.2Make a scatter plot of this data. Which point is an outlier? Enter as an ordered pair, e.g., (x,y). (x,y)=
Find the regression equation for the data set without the outlier. Enter the equation of the form mx+b rounded to three decimal places. y_wo=
Find the regression equation for the data set with the outlier. Enter the equation of the form mx+b rounded to three decimal places. y_w=
You have been hired as an intern to run analyses on the data and report the results back to Sarah; the five questions that Sarah needs you to address are given below. please do it step by step
Does there appear to be a positive or negative relationship between price and screen size? Use a scatter plot to examine the relationship.
Determine and interpret the correlation coefficient between the two variables. In your interpretation, discuss the direction of the relationship (positive, negative, or zero relationship). Also discuss the strength of the relationship.
Estimate the relationship between screen size and price using a simple linear regression model and interpret the estimated coefficients. (In your interpretation, tell the dollar amount by which price will change for each unit of increase in screen size).
Include the manufacturer dummy variable (Samsung=1, 0 otherwise) and estimate the relationship between screen size, price and manufacturer dummy as a multiple linear…
Exercises: Find all the whole number
solutions of the congruence equation.
1. 3x 8 mod 11
2. 2x+3= 8 mod 12
3. 3x+12= 7 mod 10
4. 4x+6= 5 mod 8
5. 5x+3= 8 mod 12
Chapter R Solutions
Stats: Data and Models
Ch. R - Prob. 1.1RECh. R - R1.2. Prenatal care Results of a 1996 American...Ch. R - R1.3. Singers by parts The boxplots display the...Ch. R - Prob. 1.4RECh. R - Prob. 1.5RECh. R - Prob. 1.6RECh. R - R1.7. State University Public relations staff...Ch. R - R1.8. Shenandoah rain Based on long-term...Ch. R - Prob. 1.9RECh. R - Prob. 1.10RE
Ch. R - Prob. 1.11RECh. R - R1.12. e-Books A study by the Pew Internet &...Ch. R - Prob. 1.13RECh. R - R1.14. Accidents Progressive Insurance asked...Ch. R - Prob. 1.15RECh. R - R1.16. Hard water II The data set from England and...Ch. R - Prob. 1.17RECh. R - R1.18. Old Faithful It is a common belief that...Ch. R - R1.19. Old Faithful? Does the duration of an...Ch. R - R1.20. Teen drivers 2013 The National Highway...Ch. R - Prob. 1.21RECh. R - Women’s Short Track 2018 The times of skaters in...Ch. R - Prob. 1.23RECh. R - R1.24. Sluggers Babe Ruth was the first great...Ch. R - Prob. 1.25RECh. R - R1.26. Music and memory Is it a good idea to...Ch. R - Prob. 1.27RECh. R - R1.28. Birth order Is your birth order related to...Ch. R - Prob. 1.29RECh. R - R1.30. Birth order revisited Consider again the...Ch. R - Prob. 1.31RECh. R - R1.32. Engines, again Horsepower is another...Ch. R - R1.33. Age and party 2011 The Pew Research Center...Ch. R - R1.34. Pay According to the Bureau of Labor...Ch. R - Prob. 1.35RECh. R - R1.36. Bike safety 2015 The Bicycle Helmet Safety...Ch. R - Prob. 1.37RECh. R - Prob. 1.38RECh. R - Prob. 1.41RECh. R - Prob. 1.42RECh. R - R1.43. Student survey investigation The Student...Ch. R - Prob. 1.44RECh. R - Prob. 2.1RECh. R - Prob. 2.2RECh. R - Prob. 2.3RECh. R - Prob. 2.4RECh. R - Prob. 2.5RECh. R - Prob. 2.6RECh. R - Prob. 2.7RECh. R - Prob. 2.8RECh. R - Prob. 2.9RECh. R - Prob. 2.10RECh. R - Prob. 2.11RECh. R - Prob. 2.12RECh. R - Prob. 2.13RECh. R - Prob. 2.14RECh. R - R2.15. Cars, correlations What factor most...Ch. R - R2.16. Cars, associations Look again at the...Ch. R - Prob. 2.17RECh. R - Prob. 2.18RECh. R - Prob. 2.19RECh. R - Prob. 2.20RECh. R - Prob. 2.21RECh. R - Prob. 2.22RECh. R - Prob. 2.23RECh. R - Prob. 2.24RECh. R - Prob. 2.25RECh. R - Prob. 2.26RECh. R - Prob. 2.27RECh. R - Prob. 2.28RECh. R - Prob. 2.29RECh. R - Prob. 2.30RECh. R - Prob. 2.31RECh. R - Prob. 2.32RECh. R - Prob. 2.33RECh. R - Prob. 2.34RECh. R - Prob. 2.35RECh. R - Prob. 2.36RECh. R - Prob. 2.37RECh. R - Prob. 2.38RECh. R - Prob. 2.39RECh. R - Prob. 2.40RECh. R - Prob. 2.41RECh. R - Prob. 2.42RECh. R - Prob. 2.43RECh. R - Prob. 2.44RECh. R - Prob. 2.45RECh. R - Prob. 2.46RECh. R - Prob. 2.47RECh. R - Prob. 2.48RECh. R - Prob. 2.49RECh. R - Prob. 2.50RECh. R - Prob. 2.51RECh. R - Prob. 2.52RECh. R - Prob. 3.1RECh. R - Prob. 3.2RECh. R - Prob. 3.3RECh. R - Prob. 3.4RECh. R - Prob. 3.5RECh. R - Prob. 3.6RECh. R - Prob. 3.7RECh. R - Prob. 3.8RECh. R - Prob. 3.9RECh. R - R3.1–R3.18. What design? Analyze the design of...Ch. R - Prob. 3.11RECh. R - Prob. 3.12RECh. R - Prob. 3.13RECh. R - Prob. 3.14RECh. R - Prob. 3.15RECh. R - Prob. 3.16RECh. R - R3.1–R3.18. What design? Analyze the design of...Ch. R - R3.1–R3.18. What design? Analyze the design of...Ch. R - Prob. 3.19RECh. R - Prob. 3.20RECh. R - R3.21. Alternate day fasting A paper published in...Ch. R - Prob. 3.22RECh. R - Prob. 3.23RECh. R - R3.24. Tips, take 2 In another experiment to see...Ch. R - Prob. 3.25RECh. R - Prob. 3.26RECh. R - Prob. 3.27RECh. R - R3.29. Homecoming A college statistics class...Ch. R - Prob. 3.29RECh. R - R3.31. Smoking and Alzheimer’s Medical studies...Ch. R - R3.32. Antacids A researcher wants to compare the...Ch. R - Prob. 3.32RECh. R - Prob. 3.33RECh. R - Prob. 3.34RECh. R - Prob. 3.35RECh. R - Prob. 3.36RECh. R - Prob. 3.37RECh. R - Prob. 3.38RECh. R - R3.39. Acupuncture Research reported in 2008...Ch. R - R3.40. Fuel efficiency Wayne Collier designed an...Ch. R - Prob. 3.41RECh. R - R3.42. Internet speed Carsten, Matt, and Rainer...Ch. R - Prob. 4.1RECh. R - Prob. 4.2RECh. R - Prob. 4.3RECh. R - Bipolar Psychiatrists estimate that about 1 in 100...Ch. R - A game To play a game, you must pay $5 for each...Ch. R - Prob. 4.6RECh. R - Prob. 4.7RECh. R - Prob. 4.8RECh. R - Prob. 4.9RECh. R - Prob. 4.10RECh. R - Prob. 4.11RECh. R - Prob. 4.12RECh. R - Prob. 4.13RECh. R - Prob. 4.14RECh. R - Prob. 4.15RECh. R - R4.17. Stocks Since the stock market began in...Ch. R - Multiple choice A multiple choice test has 50...Ch. R - Prob. 4.18RECh. R - Prob. 4.19RECh. R - Prob. 4.20RECh. R - Prob. 4.21RECh. R - Prob. 4.22RECh. R - Prob. 4.23RECh. R - Prob. 4.24RECh. R - Prob. 4.25RECh. R - Meals A college student on a seven-day meal plan...Ch. R - Prob. 4.27RECh. R - Picking melons Two stores sell watermelons. At the...Ch. R - Prob. 4.29RECh. R - Prob. 4.30RECh. R - Prob. 4.31RECh. R - Prob. 4.32RECh. R - Prob. 4.33RECh. R - Prob. 4.34RECh. R - Prob. 4.35RECh. R - Prob. 4.36RECh. R - Prob. 4.37RECh. R - Prob. 4.38RECh. R - Prob. 4.39RECh. R - Prob. 4.40RECh. R - Prob. 4.41RECh. R - Prob. 4.42RECh. R - Prob. 4.43RECh. R - Prob. 4.44RECh. R - Prob. 5.1RECh. R - Prob. 5.2RECh. R - Prob. 5.3RECh. R - R4.10. Hamsters How large are hamster litters?...Ch. R - Prob. 5.5RECh. R - R4.13. Fake news In a survey of 1002 U.S. adults...Ch. R - Prob. 5.7RECh. R - Prob. 5.8RECh. R - Prob. 5.9RECh. R - Prob. 5.10RECh. R - Prob. 5.11RECh. R - Prob. 5.12RECh. R - Prob. 5.13RECh. R - Prob. 5.14RECh. R - Prob. 5.15RECh. R - R4.27. Language Neurological research has shown...Ch. R - Prob. 5.17RECh. R - Prob. 5.18RECh. R - Prob. 5.19RECh. R - Prob. 5.20RECh. R - Prob. 5.21RECh. R - Prob. 5.22RECh. R - Prob. 5.23RECh. R - Prob. 5.24RECh. R - Prob. 5.25RECh. R - Prob. 5.26RECh. R - Prob. 5.27RECh. R - Prob. 5.28RECh. R - Prob. 5.29RECh. R - Prob. 5.30RECh. R - Prob. 5.31RECh. R - Prob. 5.32RECh. R - Prob. 5.33RECh. R - Prob. 5.34RECh. R - Prob. 5.35RECh. R - Prob. 5.36RECh. R - Prob. 5.37RECh. R - Prob. 5.38RECh. R - Prob. 5.39RECh. R - Prob. 5.40RECh. R - Prob. 6.1RECh. R - Prob. 6.2RECh. R - Prob. 6.3RECh. R - Prob. 6.4RECh. R - Prob. 6.5RECh. R - Prob. 6.6RECh. R - R5.7. Eclampsia deaths Refer again to the research...Ch. R - Prob. 6.8RECh. R - Prob. 6.9RECh. R - Prob. 6.10RECh. R - Prob. 6.11RECh. R - Prob. 6.12RECh. R - Prob. 6.13RECh. R - Prob. 6.14RECh. R - Prob. 6.15RECh. R - Prob. 6.17RECh. R - Prob. 6.18RECh. R - Prob. 6.19RECh. R - Prob. 6.20RECh. R - Prob. 6.21RECh. R - Prob. 6.23RECh. R - Prob. 6.25RECh. R - Prob. 6.28RECh. R - Prob. 6.29RECh. R - Prob. 6.30RECh. R - Prob. 6.31RECh. R - Prob. 6.32RECh. R - Prob. 6.33RECh. R - Prob. 6.34RECh. R - Prob. 6.35RECh. R - Prob. 6.36RECh. R - Prob. 6.37RECh. R - R5.38. Age and party 2016 The Pew Research Center...Ch. R - Prob. 6.39RECh. R - Prob. 6.40RECh. R - Prob. 6.41RECh. R - Prob. 6.42RECh. R - Prob. 6.43RECh. R - Prob. 6.44RECh. R - Prob. 6.45RECh. R - Prob. 6.46RECh. R - Prob. 6.47RECh. R - Prob. 6.48RECh. R - Prob. 6.49RECh. R - R5.50. Cramming Students in two basic Spanish...Ch. R - Prob. 6.51RECh. R - Prob. 6.52RECh. R - Prob. 7.3RECh. R - Prob. 7.4RECh. R - Prob. 7.5RECh. R - Prob. 7.6RECh. R - Prob. 7.7RECh. R - Prob. 7.8RECh. R - Prob. 7.9RECh. R - Prob. 7.10RECh. R - Prob. 7.11RECh. R - Nuclear plants Here are data on 32 light water...Ch. R - Prob. 7.13RECh. R - Prob. 7.15RECh. R - Prob. 7.16RECh. R - Prob. 7.17RECh. R - Prob. 7.18RECh. R - Prob. 7.19RECh. R - Prob. 7.20RECh. R - Prob. 7.21RECh. R - Prob. 7.23RECh. R - Prob. 7.24RECh. R - Prob. 7.25RECh. R - Prob. 7.27RECh. R - Prob. 7.28RECh. R - Prob. 7.29RE
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- Scenario Sales of products by color follow a peculiar, but predictable, pattern that determines how many units will sell in any given year. This pattern is shown below Product Color 1995 1996 1997 Red 28 42 21 1998 23 1999 29 2000 2001 2002 Unit Sales 2003 2004 15 8 4 2 1 2005 2006 discontinued Green 26 39 20 22 28 14 7 4 2 White 43 65 33 36 45 23 12 Brown 58 87 44 48 60 Yellow 37 56 28 31 Black 28 42 21 Orange 19 29 Purple Total 28 42 21 49 68 78 95 123 176 181 164 127 24 179 Questions A) Which color will sell the most units in 2007? B) Which color will sell the most units combined in the 2007 to 2009 period? Please show all your analysis, leave formulas in cells, and specify any assumptions you make.arrow_forwardOne hundred students were surveyed about their preference between dogs and cats. The following two-way table displays data for the sample of students who responded to the survey. Preference Male Female TOTAL Prefers dogs \[36\] \[20\] \[56\] Prefers cats \[10\] \[26\] \[36\] No preference \[2\] \[6\] \[8\] TOTAL \[48\] \[52\] \[100\] problem 1 Find the probability that a randomly selected student prefers dogs.Enter your answer as a fraction or decimal. \[P\left(\text{prefers dogs}\right)=\] Incorrect Check Hide explanation Preference Male Female TOTAL Prefers dogs \[\blueD{36}\] \[\blueD{20}\] \[\blueE{56}\] Prefers cats \[10\] \[26\] \[36\] No preference \[2\] \[6\] \[8\] TOTAL \[48\] \[52\] \[100\] There were \[\blueE{56}\] students in the sample who preferred dogs out of \[100\] total students.arrow_forwardBusiness discussarrow_forward
- You have been hired as an intern to run analyses on the data and report the results back to Sarah; the five questions that Sarah needs you to address are given below. Does there appear to be a positive or negative relationship between price and screen size? Use a scatter plot to examine the relationship. Determine and interpret the correlation coefficient between the two variables. In your interpretation, discuss the direction of the relationship (positive, negative, or zero relationship). Also discuss the strength of the relationship. Estimate the relationship between screen size and price using a simple linear regression model and interpret the estimated coefficients. (In your interpretation, tell the dollar amount by which price will change for each unit of increase in screen size). Include the manufacturer dummy variable (Samsung=1, 0 otherwise) and estimate the relationship between screen size, price and manufacturer dummy as a multiple linear regression model. Interpret the…arrow_forwardDoes there appear to be a positive or negative relationship between price and screen size? Use a scatter plot to examine the relationship. How to take snapshots: if you use a MacBook, press Command+ Shift+4 to take snapshots. If you are using Windows, use the Snipping Tool to take snapshots. Question 1: Determine and interpret the correlation coefficient between the two variables. In your interpretation, discuss the direction of the relationship (positive, negative, or zero relationship). Also discuss the strength of the relationship. Value of correlation coefficient: Direction of the relationship (positive, negative, or zero relationship): Strength of the relationship (strong/moderate/weak): Question 2: Estimate the relationship between screen size and price using a simple linear regression model and interpret the estimated coefficients. In your interpretation, tell the dollar amount by which price will change for each unit of increase in screen size. (The answer for the…arrow_forwardIn this problem, we consider a Brownian motion (W+) t≥0. We consider a stock model (St)t>0 given (under the measure P) by d.St 0.03 St dt + 0.2 St dwt, with So 2. We assume that the interest rate is r = 0.06. The purpose of this problem is to price an option on this stock (which we name cubic put). This option is European-type, with maturity 3 months (i.e. T = 0.25 years), and payoff given by F = (8-5)+ (a) Write the Stochastic Differential Equation satisfied by (St) under the risk-neutral measure Q. (You don't need to prove it, simply give the answer.) (b) Give the price of a regular European put on (St) with maturity 3 months and strike K = 2. (c) Let X = S. Find the Stochastic Differential Equation satisfied by the process (Xt) under the measure Q. (d) Find an explicit expression for X₁ = S3 under measure Q. (e) Using the results above, find the price of the cubic put option mentioned above. (f) Is the price in (e) the same as in question (b)? (Explain why.)arrow_forward
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- In this problem, we consider a Brownian motion (W+) t≥0. We consider a stock model (St)t>0 given (under the measure P) by d.St 0.03 St dt + 0.2 St dwt, with So 2. We assume that the interest rate is r = 0.06. The purpose of this problem is to price an option on this stock (which we name cubic put). This option is European-type, with maturity 3 months (i.e. T = 0.25 years), and payoff given by F = (8-5)+ (a) Write the Stochastic Differential Equation satisfied by (St) under the risk-neutral measure Q. (You don't need to prove it, simply give the answer.) (b) Give the price of a regular European put on (St) with maturity 3 months and strike K = 2. (c) Let X = S. Find the Stochastic Differential Equation satisfied by the process (Xt) under the measure Q. (d) Find an explicit expression for X₁ = S3 under measure Q. (e) Using the results above, find the price of the cubic put option mentioned above. (f) Is the price in (e) the same as in question (b)? (Explain why.)arrow_forwardThe managing director of a consulting group has the accompanying monthly data on total overhead costs and professional labor hours to bill to clients. Complete parts a through c. Question content area bottom Part 1 a. Develop a simple linear regression model between billable hours and overhead costs. Overhead Costsequals=212495.2212495.2plus+left parenthesis 42.4857 right parenthesis42.485742.4857times×Billable Hours (Round the constant to one decimal place as needed. Round the coefficient to four decimal places as needed. Do not include the $ symbol in your answers.) Part 2 b. Interpret the coefficients of your regression model. Specifically, what does the fixed component of the model mean to the consulting firm? Interpret the fixed term, b 0b0, if appropriate. Choose the correct answer below. A. The value of b 0b0 is the predicted billable hours for an overhead cost of 0 dollars. B. It is not appropriate to interpret b 0b0, because its value…arrow_forwardUsing the accompanying Home Market Value data and associated regression line, Market ValueMarket Valueequals=$28,416+$37.066×Square Feet, compute the errors associated with each observation using the formula e Subscript ieiequals=Upper Y Subscript iYiminus−ModifyingAbove Upper Y with caret Subscript iYi and construct a frequency distribution and histogram. LOADING... Click the icon to view the Home Market Value data. Question content area bottom Part 1 Construct a frequency distribution of the errors, e Subscript iei. (Type whole numbers.) Error Frequency minus−15 comma 00015,000less than< e Subscript iei less than or equals≤minus−10 comma 00010,000 0 minus−10 comma 00010,000less than< e Subscript iei less than or equals≤minus−50005000 5 minus−50005000less than< e Subscript iei less than or equals≤0 21 0less than< e Subscript iei less than or equals≤50005000 9…arrow_forward
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