Business Analytics
3rd Edition
ISBN: 9780135231678
Author: Evans, James R. (james Robert)
Publisher: PEARSON EDUCATION (COLLEGE)
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Textbook Question
Chapter 4, Problem 1.2CYU
What is a metric? How does it differ from a measure?
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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
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.
Chapter 4 Solutions
Business Analytics
Ch. 4 - Explain the science of statistics.Ch. 4 - What is a metric? How does it differ from a...Ch. 4 - Explain the difference between a discrete and a...Ch. 4 - Describe the four types of measurement scales and...Ch. 4 - What is a frequency distribution?Ch. 4 - Explain how to calculate a relative frequency.Ch. 4 - State how to use Excel for constructing frequency...Ch. 4 - State the features and limitations of the Excel...Ch. 4 - What does an ogive display?Ch. 4 - Prob. 2.6CYU
Ch. 4 - Prob. 3.1CYUCh. 4 - Prob. 3.2CYUCh. 4 - Prob. 3.3CYUCh. 4 - What is a cross-tabulation?Ch. 4 - Prob. 4.2CYUCh. 4 - Explain the difference between a population and a...Ch. 4 - List and explain the common measures of location...Ch. 4 - Prob. 5.3CYUCh. 4 - Prob. 5.4CYUCh. 4 - Prob. 5.5CYUCh. 4 - Prob. 5.6CYUCh. 4 - Prob. 5.7CYUCh. 4 - Prob. 5.8CYUCh. 4 - Prob. 6.1CYUCh. 4 - Use Excel to find the mean and variance for the...Ch. 4 - Prob. 7.1CYUCh. 4 - Prob. 7.2CYUCh. 4 - Prob. 8.1CYUCh. 4 - Prob. 8.2CYUCh. 4 - Prob. 9.1CYUCh. 4 - Prob. 9.2CYUCh. 4 - Prob. 9.3CYUCh. 4 - What rules are typically used to identify...Ch. 4 - Prob. 10.2CYUCh. 4 - Summarize statistical tools that are typically...Ch. 4 - Prob. 11.2CYUCh. 4 - What are the principles of statistical thinking?Ch. 4 - Prob. 12.2CYUCh. 4 - Prob. 12.3CYUCh. 4 - A survey handed out to individuals at a major...Ch. 4 - Prob. 1.2PECh. 4 - Identify each of the variables in the Excel file...Ch. 4 - Prob. 1.4PECh. 4 - Prob. 1.5PECh. 4 - Prob. 1.6PECh. 4 - Prob. 1.7PECh. 4 - Prob. 1.8PECh. 4 - Prob. 1.9PECh. 4 - Prob. 1.10PECh. 4 - Prob. 1.11PECh. 4 - Prob. 1.12PECh. 4 - Use a PivotTable to construct a frequency...Ch. 4 - Prob. 1.14PECh. 4 - Prob. 1.15PECh. 4 - Prob. 1.16PECh. 4 - Prob. 1.17PECh. 4 - Prob. 1.18PECh. 4 - Prob. 1.19PECh. 4 - Prob. 1.20PECh. 4 - Use a PivotTable to construct a cross-tabulation...Ch. 4 - Use PivotTables to construct cross-tabulations for...Ch. 4 - Prob. 1.23PECh. 4 - Prob. 1.24PECh. 4 - Prob. 1.25PECh. 4 - Compute the mean, median, midrange, and mode for...Ch. 4 - Considering the data in the Excel file Home Market...Ch. 4 - Considering the data in the Excel file Home Market...Ch. 4 - In the Excel file Facebook Survey, find the range,...Ch. 4 - Prob. 1.30PECh. 4 - For the Excel file Tablet Computer Sales, find the...Ch. 4 - The Excel file Atlanta Airline Data provides...Ch. 4 - Prob. 1.33PECh. 4 - Prob. 1.34PECh. 4 - Apply the Descriptive Statistics tool for subsets...Ch. 4 - Use the Descriptive Statistics tool to summarize...Ch. 4 - Prob. 1.38PECh. 4 - The Data worksheet in the Excel file Airport...Ch. 4 - Prob. 1.40PECh. 4 - Prob. 1.41PECh. 4 - Prob. 1.42PECh. 4 - Prob. 1.43PECh. 4 - Prob. 1.44PECh. 4 - Prob. 1.45PECh. 4 - Prob. 1.46PECh. 4 - Prob. 1.47PECh. 4 - Prob. 1.48PECh. 4 - Prob. 1.49PECh. 4 - Prob. 1.50PECh. 4 - Prob. 1.51PECh. 4 - Prob. 1.52PECh. 4 - Prob. 1.53PECh. 4 - In the Excel file Debt and Retirement Savings, use...Ch. 4 - Prob. 1.55PECh. 4 - Prob. 1.56PECh. 4 - Prob. 1.57PECh. 4 - Prob. 1.58PECh. 4 - Prob. 1.59PECh. 4 - In the Excel file Weddings, determine the...Ch. 4 - Prob. 1.61PECh. 4 - The Excel file Beverage Sales lists a sample of...Ch. 4 - For the Presidents Inn Guest Database, find the...Ch. 4 - Prob. 1.64PECh. 4 - For the Excel file Credit Risk Data, compute the...Ch. 4 - Compute the z-scores for the data in the Excel...Ch. 4 - Prob. 1.67PECh. 4 - In the Excel file Weddings, find the mean, median,...Ch. 4 - Use the following approaches to analyze the survey...Ch. 4 - Prob. 1.70PECh. 4 - A producer of computer-aided design software for...Ch. 4 - Prob. 1.72PECh. 4 - Prob. 1.73PECh. 4 - A Midwest pharmaceutical company manufactures...Ch. 4 - Find the mean and variance of a deck of 52 cards,...Ch. 4 - Elizabeth Burke has received several questions...
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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
- One 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_forwardYou 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_forward
- Does 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_forwardProblem 4. Margrabe formula and the Greeks (20 pts) In the homework, we determined the Margrabe formula for the price of an option allowing you to swap an x-stock for a y-stock at time T. For stocks with initial values xo, yo, common volatility σ and correlation p, the formula was given by Fo=yo (d+)-x0Þ(d_), where In (±² Ꭲ d+ õ√T and σ = σ√√√2(1 - p). дго (a) We want to determine a "Greek" for ỡ on the option: find a formula for θα (b) Is дго θα positive or negative? (c) We consider a situation in which the correlation p between the two stocks increases: what can you say about the price Fo? (d) Assume that yo< xo and p = 1. What is the price of the option?arrow_forward
- We consider a 4-dimensional stock price model given (under P) by dẴ₁ = µ· Xt dt + йt · ΣdŴt where (W) is an n-dimensional Brownian motion, π = (0.02, 0.01, -0.02, 0.05), 0.2 0 0 0 0.3 0.4 0 0 Σ= -0.1 -4a За 0 0.2 0.4 -0.1 0.2) and a E R. We assume that ☑0 = (1, 1, 1, 1) and that the interest rate on the market is r = 0.02. (a) Give a condition on a that would make stock #3 be the one with largest volatility. (b) Find the diversification coefficient for this portfolio as a function of a. (c) Determine the maximum diversification coefficient d that you could reach by varying the value of a? 2arrow_forwardQuestion 1. Your manager asks you to explain why the Black-Scholes model may be inappro- priate for pricing options in practice. Give one reason that would substantiate this claim? Question 2. We consider stock #1 and stock #2 in the model of Problem 2. Your manager asks you to pick only one of them to invest in based on the model provided. Which one do you choose and why ? Question 3. Let (St) to be an asset modeled by the Black-Scholes SDE. Let Ft be the price at time t of a European put with maturity T and strike price K. Then, the discounted option price process (ert Ft) t20 is a martingale. True or False? (Explain your answer.) Question 4. You are considering pricing an American put option using a Black-Scholes model for the underlying stock. An explicit formula for the price doesn't exist. In just a few words (no more than 2 sentences), explain how you would proceed to price it. Question 5. We model a short rate with a Ho-Lee model drt = ln(1+t) dt +2dWt. Then the interest rate…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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