ECO250_Module3_Exercise
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Feb 20, 2024
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ECO250
Module 3 Exercise
You are thinking about opening a restaurant in your neighborhood but before you do so, you decide to do a little research to figure out what your potential market looks like. You randomly select 10 individuals in your neighborhood and ask them how many people live in their household (household size) and how often they dine out each month (restaurant visits). The data you collected is given in the table below.
Observation
Household size
Restaurant visits
1
3
2
2
4
1
3
2
8
4
3
4
5
2
3
6
5
4
7
4
1
8
4
6
9
5
10
10
3
3
Answer the following questions.
1.
Briefly explain (in words) what the median is.
Median is the middle of the data set. 2.
Calculate the sample median of household size and restaurant visits. The median in the household is 3.5. the median in the restaurant is 3.5
3.
Calculate the sample mean of household size and restaurant visits. The mean of the household is 3.5. the mean in the restaurant is 4.2
4.
Based on your answers to questions 2 and 3, provide a rough sketch of what the histograms of household size and restaurant visits would look like (you don’t have to calculate the frequency distributions). Explain any differences between the two histograms.
Household above. restaurant above.
5.
Calculate the sample variance and sample standard deviation of restaurant visits. Variance= 1.17
Standard deviation= 1.08
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Related Questions
You own the only pharmacy in the small town of Jackson City, which has 40,000 residents. You would like to get a sense of what the local demand is for seasonal allergy medicine so you can determine how many packages to keep in stock and what price to charge. You conduct a survey of four residents of Jackson City, asking them about the quantity of allergy medicine they would buy each allergy season at various prices. Their responses are shown in the accompanying table. Estimate and graph the demand for the entire town of Jackson City.
Price
Lee
June
Carlotta
Eric
$8
8
5
6
9
$10
6
4
5
5
$12
4
3
4
3
$14
2
2
2
1
$18
0
1
1
0
arrow_forward
You own the only pharmacy in the small town of Jackson City, which has 40,000 residents. You would like to get a sense of what the local demand is for seasonal allergy medicine so you can determine how many packages to keep in stock and what price to charge. You conduct a survey of four residents of Jackson City, asking them about the quantity of allergy medicine they would buy each allergy season at various prices. Their responses are shown in the accompanying table. Estimate and graph the demand for the entire town of Jackson City.
Price
Lee
June
Carlotta
Eric
$8
8
5
6
9
$10
6
4
5
5
$12
4
3
4
3
$14
2
2
2
1
$18
0
1
1
0
I submitted this question earlier and I understand how to add up the market demand for each individual but I don't understand how to estimate the entire market demand for Jackson city which has 40,000 residents including the individuals listed in the chart. If you could please answer this specifically I would appreciate it.
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A researcher wants to study about the behaviours of postgraduate students in Australia in mobile phone usage.
One of the goals of the study is to analyse whether there is a relationship between the type of apps that the students use the most and the degree they are studying.
What is the most suitable graph to see the relationship described above? Why?
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Ypsilanti Market Research conducted a survey to find out whether people who earn more money purchase more expensive goods. The following graph
indicates the relationship between income the survey subjects earned and the price of the car that they purchased.
PRICE (Thousands of dollars per car)
50
45
40
5
0
0
10
20 30 40 50 60
80
70
INCOME (Thousands of dollars per year)
90 100
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Exercise A.4.
Explain what is the market power of a company. How can it be measured? What does it depend
on? Graphically represent two companies, one with high market power and one with low market
power.
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PRICE (Dollars per room)
500
450
400
350
300
250
200
150
100
50
0
Demand
D 50 100 150 200 250 300 350 400 450 500
QUANTITY (Hotel rooms)
Graph Input Tool
Market for Oceans's Hotel Rooms
Price
(Dollars per room)
Quantity
Demanded
(Hotel rooms per
night)
Demand Factors
Average Income
(Thousands of
dollars)
Airfare from MSY to
ACY
(Dollars per
roundtrip)
Room Rate at
Meadows
(Dollars per night)
350
150
50
200
250
?
For each of the following scenarios, begin by assuming that all demand factors are set to their original values and Oceans is charging $350 per room
per night.
If average household income increases by 20%, from $50,000 to $60,000 per year, the quantity of rooms demanded at the Oceans from
rooms per night to
rooms per night. Therefore, the income elasticity of demand is.
, meaning that hotel rooms at the
Oceans are
If the price of an airline ticket from MSY to ACY were to increase by 10%, from $200 to $220 roundtrip, while all other demand factors remain at their
initial values,…
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What is the difference between an unbiased estimator and a consistentestimator?
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Demand Factor
Average American household income
Roundtrip airfare from Des Moines (DSM) to Atlantic City (ACY)
Room rate at the Continental Hotel and Casino, which is near the Rivers
PRICE (Dollars per room)
Use the graph input tool to help you answer the following questions. You will not be graded on any changes you make to this graph.
Note: Once you enter a value in a white field, the graph and any corresponding amounts in each grey field will change accordingly.
500
450
400
350
300
250
200
150
100
50
0
0
Demand
50 100 150 200 250 300 350 400 450 500
QUANTITY (Hotel rooms)
Graph Input Tool
Market for Rivers's Hotel Rooms
Price
(Dollars per room)
Quantity
Demanded
(Hotel rooms per
night)
Demand Factors
Average Income
(Thousands of
dollars)
Initial Value
$50,000 per year
$200 per roundtrip
$250 per night
Airfare from DSM to
ACY
(Dollars per
roundtrip)
Room Rate at
Continental
(Dollars per night)
350
150
50
200
250
?
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Hayfever Farms is an 80‑acre hay farm in Colorado. Due to the legalization of marijuana production in the state, the owners are considering changing the farm's name to Blissful Acres and growing marijuana instead of hay.
Use the information presented in the table to answer three questions.
Number of acres
MC $
MR $ (hay)
MR $ (marijuana)
10
320
730
5,600
20
200
730
5,600
30
540
730
5,600
40
730
730
5,600
50
1,200
730
5,600
60
3,200
730
5,600
70
5,600
730
5,600
80
6,700
730
5,600
If they continue to grow only hay, how many acres should Hayfever Farms devote to growing hay in order to maximize profits?
area devoted to hay:_______ acres
If the owners decide to only grow marijuana, how many acres should Blissful Acres devote to growing marijuana in order to maximize profits?
area devoted to marijuana:_______ acres
Which outcome likely happens due to the legalization of marijuana production and consumption?
The number of growers…
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Alejandro is selling HDMI cables on eBay, and is trying to determine the best price to sell at. For the last 10 weeks, he has adjusted his price slightly each week and tracked the number of cables he sold. He plotted the results, and drew a line he feels fits the data well.
Price ($) 3, 3.25, 3.5, 3.75, 4, 4.25, 4.5, 4.75, 5
Quantity Sold - 50, 100, 150, 200, 250
a) The line of best fit passes through the points (3.50, 230) and (4.75, 210). Find an equation for the line.
Use variables: p for price in dollars, and Q for quantity of cables sold.
b) Using this model, predict the number of cables Alejandro would sell at a price of $3.65, to the nearest whole cable.
cables
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ECON131: Quantitative Methods in Economics – Business and Finance Assignment The City of Sydney is an area covering over 26km2 and is one of Australia’s most important social and economic centres. As part of Sydney 2030, a study into the city’s long-term sustainability, the city council committed to reducing its carbon footprint 70% over the next 20 years. A study found that around 31% of the city’s carbon emissions arise from public lighting. So, in 2011, the City of Sydney announced a project to replace its lighting systems with energy efficient LED lights. It would choose lighting systems based on both their economic and environmental value. After a consultation period, the City chose a supplier in late 2011 to replace 6,448 luminaries (lights).Before the project, suppose that the 6,448 luminaries slated for replacement consumed 5,252,613 kWh of electricity annually. In 2010/11, the annual lighting bill was $654,476. Suppose that the new LED…
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The following data was collected to explore how the number of square feet in a house, the number of bedrooms, and the age of the house affect the selling price of the
house. The dependent variable is the selling price of the house, the first independent variable (x1) is the square footage, the second independent variable (x2) is the
number of bedrooms, and the third independent variable (x3) is the age of the house.
Effects on Selling Price of Houses
Square Feet Number of Bedrooms Age Selling Price
2750
5
14
296600
2696
5
11
294400
2523
4
7
281400
2057
4
7
240600
1797
4
5
208600
1767
4
5
196400
1684
4
4
171900
1554
3
4
162800
1521
3
3
144900
Copy Data
Step 2 of 2: Determine if a statistically significant linear relationship exists between the independent and dependent variables at the 0.01 level of significance. If the
relationship is statistically significant, identify the multiple regression equation that best fits the data, rounding the answers to three decimal places. Otherwise,…
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The following data was collected to explore how the number of square feet in a house, the number of bedrooms, and the age of the house affect the selling price of the
house. The dependent variable is the selling price of the house, the first independent variable (x1) is the square footage, the second independent variable (x2) is the
number of bedrooms, and the third independent variable (x3) is the age of the house.
Effects on Selling Price of Houses
Square Feet Number of Bedrooms Age Selling Price
2750
5
14
296600
2696
5
11
294400
2523
4
7
281400
2057
4
7
240600
1797
4
5
208600
1767
4
5
196400
1684
4
4
171900
1554
3
4
162800
1521
3
3
144900
Step 1 of 2: Find the p-value for the regression equation that fits the given data. Round your answer to four decimal places.
Copy Data
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Consider the following data:Number of Customers a Restaurant Serves per Year
Year
20002000
20012001
20022002
20032003
20042004
20052005
20062006
20072007
20082008
Customers
16,56516,565
17,13517,135
15,25815,258
14,36914,369
15,92915,929
16,76116,761
16,90216,902
18,65918,659
16,64616,646
Step 1 of 2 :
Find the two-period weighted moving average for the year 20072007 with weights of 33 (one time period in past) and 11 (two time periods in past). If necessary, round your answer to one decimal place.
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What is “nonresponse”? Identify four types of nonresponse in surveys.
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can you give the formulas for each question
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The manager at a local fast-food restaurant is doing an inventory of the breakfast items sold last week to determine the least and most popular items served. The data is
listed in the following table.
Item Served
Monday Tuesday Wednesday Thursday
Friday
Chicken Biscuit
22
38
26
34
10
Sausage Biscuit
14
12
30
11
33
Ham Biscuit
32
39
16
29
33
Bacon & Egg Biscuit
36
14
36
31
15
Gravy Biscuit
38
37
24
26
32
Oatmeal and Fruit
37
23
16
20
23
Breakfast Burrito
14
19
14
24
19
Step 1 of 2: Determine the frequency of the least popular item sold last week.
Copy Data
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6
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What are the properties of Ordinary Least Squares (OLS) estimators in basic econometrics? Discuss. (Maximum 250 words)
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What are the three specific desirable characteristics of an estimator?
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Note: chat gpt answers will be given down vote.
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The manager at a local fast-food restaurant is doing an inventory of the breakfast items sold last week to determine the least and most popular items served. The data is
listed in the following table.
Item Served
Monday Tuesday Wednesday Thursday Friday
Chicken Biscuit
37
19
13
22
11
Sausage Biscuit
19
11
33
16
10
Ham Biscuit
28
31
32
32
24
Bacon & Egg Biscuit
35
30
38
18
10
Gravy Biscuit
23
18
10
34
29
Oatmeal and Fruit
17
25
13
18
10
Breakfast Burrito
23
22
16
37
26
Copy Data
Step 2 of 2: Determine the relative frequency of the most popular item sold last week. Round your answer to three decimal places.
arrow_forward
Ypsilanti Market Research conducted a survey to find out whether people who earn more money purchase more expensive goods. The following graph indicates the relationship between income the survey subjects earned and the price of the car that they purchased.
The variable shown on the vertical axis is __________ (options: thousands of dollars per car, thousands of dollars per year, income, thousands of dollars, price, number of goods).
The units for the variable on the horizontal axis are _________ (options: thousands of dollars per car, thousands of dollars per year, income, thousands of dollars, price, number of goods).
There are two ways to view the information presented on the graph. First, the graph tells us the amount a person with a certain income is likely to spend on a car, and second, it tells us the probable income of a person who spent a certain amount on a car. For example, if an individual earned $50,000 last year and purchased a new car, you would expect that person to…
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The Wall Street Journal’s website, www.wsj.com, reported the number of cars and light-duty trucks sold through October of 2014 and October of 2015. The top sixteen manufacturers are listed here. The sales information for all manufacturers can be accessed in a data file below. Sales data are often reported in this way to compare current sales to last year’s sales.
Year-to-Date Sales
Manufacturer
Through October 2015
Through October 2014
General Motors Corp.
2,562,840
2,434,707
Ford Motor Company
2,178,587
2,065,612
Toyota Motor Sales USA Inc.
2,071,446
1,975,368
Chrysler
1,814,268
1,687,313
American Honda Motor Co Inc.
1,320,217
1,281,777
Nissan North America Inc.
1,238,535
1,166,389
Hyundai Motor America
638,195
607,539
Kia Motors America Inc.
526,024
489,711
Subaru of America Inc.
480,331
418,497
Volkswagen of America Inc.
294,602
301,187
Mercedes-Benz
301,915
281,728
BMW of North America Inc.…
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Define isthmus
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A researcher wants to study about the behaviours of postgraduate students in Australia in mobile phone usage.
One of the goals of the study is to analyse whether there is a relationship between the amount of time they spend using the mobile phone and their gender.
What are the two variables involved to achieve that goal?
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- You own the only pharmacy in the small town of Jackson City, which has 40,000 residents. You would like to get a sense of what the local demand is for seasonal allergy medicine so you can determine how many packages to keep in stock and what price to charge. You conduct a survey of four residents of Jackson City, asking them about the quantity of allergy medicine they would buy each allergy season at various prices. Their responses are shown in the accompanying table. Estimate and graph the demand for the entire town of Jackson City. Price Lee June Carlotta Eric $8 8 5 6 9 $10 6 4 5 5 $12 4 3 4 3 $14 2 2 2 1 $18 0 1 1 0arrow_forwardYou own the only pharmacy in the small town of Jackson City, which has 40,000 residents. You would like to get a sense of what the local demand is for seasonal allergy medicine so you can determine how many packages to keep in stock and what price to charge. You conduct a survey of four residents of Jackson City, asking them about the quantity of allergy medicine they would buy each allergy season at various prices. Their responses are shown in the accompanying table. Estimate and graph the demand for the entire town of Jackson City. Price Lee June Carlotta Eric $8 8 5 6 9 $10 6 4 5 5 $12 4 3 4 3 $14 2 2 2 1 $18 0 1 1 0 I submitted this question earlier and I understand how to add up the market demand for each individual but I don't understand how to estimate the entire market demand for Jackson city which has 40,000 residents including the individuals listed in the chart. If you could please answer this specifically I would appreciate it.arrow_forwardA researcher wants to study about the behaviours of postgraduate students in Australia in mobile phone usage. One of the goals of the study is to analyse whether there is a relationship between the type of apps that the students use the most and the degree they are studying. What is the most suitable graph to see the relationship described above? Why?arrow_forward
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