Assignment 6 PYSCH210
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1.Is there a significant linear relationship between stress and drinking behavior? How did you determine the answer to this question? How strong is the relationship?
- There is not a significant or strong linear relationship between stress and drinking behavior. I determined the answer to this question because I used the R2 value, which is equal to 0.132, and that is extremely low. Since the R2 value is 0.132, it is too low to indicate whether there is a strong linear relationship or not.
2.What is the regression equation for our data? Are the estimate values significantly different than zero? Based on these results, is there a different equation that is equally as effective for this dataset?
- 3. How much of the variance in number of drinks consumed is explained by stress level? Where did you get this information?
- 4. Overall, what would you conclude about the relationship between stress and drinks? What might you tell friends of yours who are very stressed?
-
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please answer in text form and in proper format answer with must explanation , calculation for each part and steps clearly
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Problem Set #3
J) The amount of income spent on housing is an important component of the cost of living. The total
costs of housing for homeowners might include mortgages payments, property taxes, and utility
costs (water, heat, electricity). An economist selected a sample of Inland Empire, California,
homeowners and calculated housing costs as a percent of monthly income, 5 years ago and now.
The information is reported below. Is it reasonable to conclude the percent is less now than 5
years ago? Apply the 6-step hypothesis testing procedure to test using a = 5% (0.05). (LMW)
Five
Years
Now
Ago
Aziz
18
11
Baker
19
38
Cortez
28
36
Duran
42
26
Edgewort
35
11
Foster
44
42
Gomez
46
Hochhack
20
27
Isoko
48
27
Jarvis
48
25
Kenda
36
33
Li
17
33
Morales
24
22
Nasser
32
11
Oliphant
43
39
Pierce
45
43
Quest
29
23
Rawlins
28
18
Sorrento
40
36
Thomas
23
13
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In this exercise, you will investigate the relationship between earnings and height.
These data are taken from the US National Health Interview Survey for 1994. Download the data from the table by clicking the download table icon
.
A detailed description of the variables used in the dataset is available here
LOADING...
.
Use a statistical package of your choice to answer the following questions.
Earnings and…
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ch 13. 3:
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As a manager of a small software retailing company, you are concerned with projected profit next year. While profit can be determined as the difference between sales and maintenance cost, or in symbols, P = S - M, where P is profit, S is sales, and M is maintenance cost including technical support. It is argues that when sales goes up so does maintenance cost because the cost of technical support will go up. Further, it is measured that the correlation between S and M is 0.8. Now given the figure that sales next year is expected to be $300 thousand with standard deviation of $4 thousand and maintenance cost is expected to be $150 thousand with standard deviation of $6 thousand, what would be the expected profit and its standard deviation you will include in your report?
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Mr. John operates a medium size business that sells tires. He buys most of his tires from a company that is located in South America. Mr. John believes that he is stocking too much tires so he decided to look into the situation. He wants to use the Economic Order Quantity (EOQ) model to manage his stock of tires. In order to use this model, he must first of all forecast the annual demand for his tires. Using a numerical example, demonstrate to Mr. John how he can use the manual trend projection method of forecasting to forecast demand for the next two years.
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) It is an established fact in economics that for goods which are described as inferior goods, when incomes of consumers increase, consumers tend to reduce their consumption of such goods and rather patronize goods which would normally provide higher satisfaction .Suppose in Ghana, gari is seen as an inferior good and incomes of low income earners rise substantially as result of the introduction of a new incomes policy. If a researcher decides to undertake a study to verify the general preposition that as incomes rise, the consumption of inferior goods falls.
1.which type of economic study and what analysis is this? Justify your answer.
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1.
The following data represent the number of days absent and the final grade for a sample of
college students in a general education courses at a large state university.
1
2
3
5
6
7
8
9
# of absences 0
Final Grade
89.2 86.4 83.5 81.1 78.2 73.9
64.3 71.8 65.5 66.2
a. Test whether there is a linear correlation between the number of absences and the final grade, use
0.01 level of significance. Assume requirements satisfied.
b. Find the equation of least square regression line.
c. Find the best predicted final grade for a student who misses five class periods.
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Question:
c) Compute the correlation between unit sales and profit.
d) what is the coefficient of determination of these variables?
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A stock analyst wants to determine whether there is a difference in the mean rate of return for three types of stock: utility, retail, and banking stocks. The following output is obtained:
Using the 0.05 level of significance, is there a difference in the mean rate of return among the three types of stock?
Can the analyst conclude there is a difference between the mean rates of return for utility and retail stocks? For utility and banking stocks? For banking and retail stocks? (Negative value should be indicated by a minus sign.)
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You are studying the effects of smoking by pregnant women on rates of asthma in their
children. You collect data on the number of cigarettes smoked per day and whether or not the
child developed asthma by the age of two. The data is below:
Smoked 1-5 cigarettes per day --- 9.2% developed asthma
Smoked 6-10 cigarettes per day --- 10.3% developed asthma
Smoked 11-20 cigarettes per day -- 25% developed asthma
Smoked 21-40 cigarettes per day --- 34.8% developed asthma
Smoked 41-60 cigarettes per day --- 38.4% developed asthma
In order to study the relationship between the number of cigarettes smoked by pregnant women per day and the
percentage of their children developed asthma by the age of two using statistical knowledge, we convert the above
data into the following format and see if we can obtain an adequate fit using linear regression.
Average number of cigarettes smoked per day 3 8
Percentage of children developed asthma
What is the value of the correlation coefficient?
Г
15-5 30.5…
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We know that discrimination exists. It influences wages, but also many other dimensions over the life cycle which affect wages indirectly. I run OLS regression with variables wage, age, female and degree. The dependent variable is log(wage) and we replace the variables female and degree with the interaction term. However, discrimination is not included among the observed regressors. Given that omitting confounding variables from regression model can bias the coefficient estimates, omitting discrimination would lead to biased results.
Could you please help me provide an example of how unobserved gender discrimination can affect my OLS estimates. [Hint: think about ways in which discrimination can invalidate OLS assumptions.].
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What is this equation used for? What do the variables mean?
Can you give an example how a research study can be applied to this formula? Does it account for control variables ?
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Fixed effects model with three time periods
Consider the following general fixed effects model for use with a panel data set with three time periods (T = 3):
yir = 51 +82 d2: +63 d31 + ẞ1x11 + ... + ẞkxisk + Vit
where, for t=1, 2, 3, and time period 1 is the base year:
yir = value of dependent variable y for i, in year t, in pounds
d2, 1 in the second time period (t = 2), and 0 otherwise
d3, =1 in the third time period (t = 3), and 0 otherwise
Xirl,..., Xink value of explanatory variables for individual i at time f
Vir = composite error consisting of the unobserved, time-constant effect (a) and the idiosyncratic error (uir)
If there are 106 cross-sectional units in your balanced panel data set, then the total number of observations you have in your data set is
For the first time period (1), the intercept is
Which of the following would cause pooled OLS estimation of the model to yield biased and consistent estimators? Check all that apply.
Measurement error in any explanatory variable…
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Recently the European Community (EC) decided to lower its subsidies to makers of pasta. In deciding by what amount to reduce total subsidies, experiments were carried out for determining the possible reduction in exports, mainly to the United States, that would result from the subsidy reduction. Over a small range of values, economists wanted to test whether there is a positive correlation between level of subsidy and level of exports. A computer simulation of the economic variables involved in the pasta exports market was carried out. The results follow. Assuming that the simulation is an accurate description of reality and that the values obtained may be viewed as a random sample of the populations of possible outcomes, state whether you believe that a positive rank correlation exists between subsidy level and exports level over the short range of values studied Q
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Scenario: The following model was fitted to data on gas mileage as a function of weight of vehicle and type of vehicle (sport utility vehicle, family sedan, subcompact). Model: MPG = 50 - 0.004WT - 8SUV - 3FS
MPG =miles per gallon; WT=weight of vehicle; SUV=sport utility vehicle; FS=family sedan
Answer the questions below.
1. Each pound of weight reduces fuel economy by
MPG
2. Fuel economy is reduced by
MPG for a sport utility vehicle
3. Fuel economy is reduced by
MPG for a family sedan
4. For a subcompact car weighing 1000 pounds, what is the predicted fuel economy?
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In a study aimed at creating reference values, abdominal circumference (measured in cm) was measured in adult men. It was found that the relationship to age could be described as abdominal circumference = 82 + 0.3 x age
a) What is the analysis that produces such a formula called?
b) At what age is the average abdominal circumference 100 cm?
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ASAP PLZ
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7 Which of the following can cause OLS estimators to be biased?
(i) Heteroskedasticity.
(ii) Omitting an important variable.
(iii) A sample correlation coefficient of 95 between two independent variables both included in the
model.
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Candy is a Year 4 full-time undergraduate student majoring in marketing at a private university inHong Kong and she is going to be graduated after the summer break. She has collected some datafrom the Student Careers and Affairs Office (SCAO) related to her job planning.According to the graduate employment surveys conducted for the last two years by the privateuniversity, the average salary earned by the graduates of her programme is constant at around$14,000. Actually, Candy is quite disappointed.In view of this, Candy is considering to participate in an one-year internship program launched by theSCAO after her graduation. In other words, she would enter the job market “formally” one year laterif she joins the internship program. Finally, with the help of the SCAO, she could get an internshipoffer from a famous marketing company in Hong Kong. The monthly salary provided by the companyis $12,000 while a good reference letter would be prepared for the interns completing the…
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Question:
1. Explain each term including exponents in the
following equations:
• Y = Ax F(K, N)
Y = AN1-9K9.
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7t. Bicycling, the world's leading cycling magazine, reviews hundreds of bicycles throughout the year. Their "Road-Race" category contains reviews of bikes used by riders primarily interested in racing. One of the most important factors in selecting a bike for racing is the weight of the bike. The following data show the weight (pounds) and price ($) for 10 racing bikes reviewed by the magazine.†
Brand
Weight
Price ($)
FELT F5
17.8
2,100
PINARELLO Paris
16.1
6,250
ORBEA Orca GDR
14.9
8,370
EDDY MERCKX EMX-7
15.9
6,200
BH RC1 Ultegra
17.2
4,000
BH Ultralight 386
13.1
8,600
CERVELO S5 Team
16.2
6,000
GIANT TCR Advanced 2
17.1
2,580
WILIER TRIESTINA Gran Turismo
17.6
3,400
SPECIALIZED S-works Amira SL4
14.1
8,000
(a)
Use the data to develop an estimated regression equation that could be used to estimate the price for a bike given the weight. (Round your numerical values to the nearest integer).
ŷ =
(b)
Compute
r2.
(Round your answer to…
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QUESTION 7
Which is NOT true about the coefficient of determination?
As you add more variables, the R-square generally rises.
As you add more variables, the adjusted R-square can fall.
If the R-square is above 50%, the regression is considered significant.
The R-square gives the percent of the variation in the dependent variable that is explained by the independent variables.
The higher is the R-square, the better is the fit.
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You have noticed that paying higher wages attracts more productive employees. However, you are concerned that there may be a limit to this relationship. Some experimentation has convinced you that the relationship between wages paid (x) and profits can be modelled by the equation Profit = 25x − 0.1x2 + 200. Use a Nonlinear Solver tool to determine the level of wages that will maximize profits.
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4) can i please get help with this question
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EMS
1. The director of marketing at Vanguard Corporation believes that sales of the company's
Bright Side laundry detergent (S) are related to Vanguard's own advertising expenditure
(A), as well as the combined advertising expenditures of its three biggest rival detergents
(R). The marketing director collects 36 weekly observations on S, A, and R to estimate the
following multiple regression equation:
S = a + bA + CR
where S, A, and R are measured in dollars per week. Vanguard's marketing director is
comfortable using parameter estimates that are statistically significant at the 10 percent
level or better.
a. What sign does the marketing director expect a, b, and c to have?
b. Interpret the coefficients a, b, and c.
The regression output from the computer is as follows:
DEPENDENT VARIABLE: S
A
R
OBSERVATIONS: 36
VARIABLE
INTERCEPT
PARAMETER
ESTIMATE
175086.0
0.8550
-0.284
R-SQUARE
0.2247
STANDARD
ERROR
63821.0
F-RATIO
4.781
0.3250
0.164
T-RATIO
2.74
2.63
-1.73
P-VALUE ON F
0.0150…
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What type of data is this, is it (nominal, ordinal, interval or ratio) and summarize it in ways appropriate for that type.
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et R2unrestricted and R2restricted be 0.54 and 0.30 respectively. The difference between the unrestricted and the restricted model is that you have imposed two restrictions. The number of regressors in the unrestricted model is 5. There are 500 observations. The F-statistic (under the assumption of homoskedasticity) in this case is
1. 4.61
2. 8.01
3. 98.5
4. 128.9
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Ampomah Group is a large is large Ghanaian consumer products company with origin in Nkawkaw in the Eastern Region. The company primarily specializes in Shampoo, Diapers, Baby food and Cold medicine. Ampomah Group has business operations in over 50 cities in Ghana. The Company has been following the economic trends since 2020 and has found that after the COVID-19 pandemic, low income households have been growing two times as quickly as other consumer segments. The preliminary report of the recent 2021 Population and Housing Census indicates a further extension of this trend in the next decade. Low income is defined as families with income at the poverty level or below.Ampomah Group has always had a premium product strategy. It sells its products in grocery stores, convenience stores, mass retailers, etc., but its products are always priced at the high-end of their respective categories. It has never targeted the low income segment before and doesn’t have a low income strategy, but given…
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I am struggling with how to rearrange the Qs and Qd equa. at the beginning so I am getting stuck in the middle. I already submitted this question and I understand the 1.25 answer its more so the breakdown of rearranging the P=20-1/3Qd and the P= -10 +1/5Qs
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- please answer in text form and in proper format answer with must explanation , calculation for each part and steps clearlyarrow_forwardProblem Set #3 J) The amount of income spent on housing is an important component of the cost of living. The total costs of housing for homeowners might include mortgages payments, property taxes, and utility costs (water, heat, electricity). An economist selected a sample of Inland Empire, California, homeowners and calculated housing costs as a percent of monthly income, 5 years ago and now. The information is reported below. Is it reasonable to conclude the percent is less now than 5 years ago? Apply the 6-step hypothesis testing procedure to test using a = 5% (0.05). (LMW) Five Years Now Ago Aziz 18 11 Baker 19 38 Cortez 28 36 Duran 42 26 Edgewort 35 11 Foster 44 42 Gomez 46 Hochhack 20 27 Isoko 48 27 Jarvis 48 25 Kenda 36 33 Li 17 33 Morales 24 22 Nasser 32 11 Oliphant 43 39 Pierce 45 43 Quest 29 23 Rawlins 28 18 Sorrento 40 36 Thomas 23 13arrow_forwardIn this exercise, you will investigate the relationship between earnings and height. These data are taken from the US National Health Interview Survey for 1994. Download the data from the table by clicking the download table icon . A detailed description of the variables used in the dataset is available here LOADING... . Use a statistical package of your choice to answer the following questions. Earnings and…arrow_forward
- ch 13. 3:arrow_forwardAs a manager of a small software retailing company, you are concerned with projected profit next year. While profit can be determined as the difference between sales and maintenance cost, or in symbols, P = S - M, where P is profit, S is sales, and M is maintenance cost including technical support. It is argues that when sales goes up so does maintenance cost because the cost of technical support will go up. Further, it is measured that the correlation between S and M is 0.8. Now given the figure that sales next year is expected to be $300 thousand with standard deviation of $4 thousand and maintenance cost is expected to be $150 thousand with standard deviation of $6 thousand, what would be the expected profit and its standard deviation you will include in your report?arrow_forwardMr. John operates a medium size business that sells tires. He buys most of his tires from a company that is located in South America. Mr. John believes that he is stocking too much tires so he decided to look into the situation. He wants to use the Economic Order Quantity (EOQ) model to manage his stock of tires. In order to use this model, he must first of all forecast the annual demand for his tires. Using a numerical example, demonstrate to Mr. John how he can use the manual trend projection method of forecasting to forecast demand for the next two years.arrow_forward
- ) It is an established fact in economics that for goods which are described as inferior goods, when incomes of consumers increase, consumers tend to reduce their consumption of such goods and rather patronize goods which would normally provide higher satisfaction .Suppose in Ghana, gari is seen as an inferior good and incomes of low income earners rise substantially as result of the introduction of a new incomes policy. If a researcher decides to undertake a study to verify the general preposition that as incomes rise, the consumption of inferior goods falls. 1.which type of economic study and what analysis is this? Justify your answer.arrow_forward1. The following data represent the number of days absent and the final grade for a sample of college students in a general education courses at a large state university. 1 2 3 5 6 7 8 9 # of absences 0 Final Grade 89.2 86.4 83.5 81.1 78.2 73.9 64.3 71.8 65.5 66.2 a. Test whether there is a linear correlation between the number of absences and the final grade, use 0.01 level of significance. Assume requirements satisfied. b. Find the equation of least square regression line. c. Find the best predicted final grade for a student who misses five class periods.arrow_forwardQuestion: c) Compute the correlation between unit sales and profit. d) what is the coefficient of determination of these variables?arrow_forward
- A stock analyst wants to determine whether there is a difference in the mean rate of return for three types of stock: utility, retail, and banking stocks. The following output is obtained: Using the 0.05 level of significance, is there a difference in the mean rate of return among the three types of stock? Can the analyst conclude there is a difference between the mean rates of return for utility and retail stocks? For utility and banking stocks? For banking and retail stocks? (Negative value should be indicated by a minus sign.)arrow_forwardYou are studying the effects of smoking by pregnant women on rates of asthma in their children. You collect data on the number of cigarettes smoked per day and whether or not the child developed asthma by the age of two. The data is below: Smoked 1-5 cigarettes per day --- 9.2% developed asthma Smoked 6-10 cigarettes per day --- 10.3% developed asthma Smoked 11-20 cigarettes per day -- 25% developed asthma Smoked 21-40 cigarettes per day --- 34.8% developed asthma Smoked 41-60 cigarettes per day --- 38.4% developed asthma In order to study the relationship between the number of cigarettes smoked by pregnant women per day and the percentage of their children developed asthma by the age of two using statistical knowledge, we convert the above data into the following format and see if we can obtain an adequate fit using linear regression. Average number of cigarettes smoked per day 3 8 Percentage of children developed asthma What is the value of the correlation coefficient? Г 15-5 30.5…arrow_forwardWe know that discrimination exists. It influences wages, but also many other dimensions over the life cycle which affect wages indirectly. I run OLS regression with variables wage, age, female and degree. The dependent variable is log(wage) and we replace the variables female and degree with the interaction term. However, discrimination is not included among the observed regressors. Given that omitting confounding variables from regression model can bias the coefficient estimates, omitting discrimination would lead to biased results. Could you please help me provide an example of how unobserved gender discrimination can affect my OLS estimates. [Hint: think about ways in which discrimination can invalidate OLS assumptions.].arrow_forward
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