Questions
600,000 students in 79 countries take a PISA test every three years to evaluate their learning...

600,000 students in 79 countries take a PISA test every three years to evaluate their learning in reading, math, and science. Students in the Beijing-Shanghai-Jiangsu-Zhejiang regions in China scored the highest average scores in all three subjects in 2018. Canada ranked around 12th overall but has had steadily declining scores in math and science. We have data on average math scores and characteristics of 500 school districts across Canada. This problem asks you to build up a regression model to look for factors that affect average math test scores in various school districts in Canada.

I run a basic regression equation that explains math scores (SCORE) as a function of:
1. STR = the student teacher ratio. (number of students per teacher)
2. SPEND = government spending per student in the school district in dollars per student.
3. HIESL= a dummy variable=1 if the percentage of students learning English as a new language is above 20% and =0 if it is below 20%.
The regression also includes the usual constant term.

There is a categorical variable called PROVINCE for the province of the school district. This variable =1 for Ontario, =2 for Quebec, =3 for Alberta, and =4 for British Columbia.

There is also a categorical variable called INCOME which is the average per capita income of households in the school district. INCOME = 1 if the district has average per capital income below $40000, =2 if the district has per capita income between $40000 and $60000, =3 if the district has per capita income >= $60000.

How do I add PROVINCE and INCOME into my regression model? Which specification is correct?

  • A.

    SCORE = b2STR + b3SPEND + b4HIESL + b5ON + b6QC + b7BC + b8AB + b9INC1 + b10INC2 + b11INC3

    where
    ON = 1 if the district is in Ontario and 0 otherwise
    QC = 1 if the district is in Quebec and 0 otherwise
    BC = 1 if the district is in BC and 0 otherwise
    AB = 1 if the district is in Alberta and 0 otherwise
    INC1 = 1 if the district is the low income range and 0 otherwise
    INC2 = 1 if the district is the middle income range and 0 otherwise
    INC3 = 1 if the district is the high income range and 0 otherwise

  • B.

    SCORE = b1 +b2STR + b3SPEND + b4HIESL + b5PROVINCE + b6INCOME

    where PROVINCE takes values 1 to 4
    and INCOME takes values 1 to 3.

  • C.

    SCORE = b1 + b2STR + b3SPEND + b4HIESL +  b5ON + b6QC + b7BC + b8AB + b9INC1 + b10INC2 + b11INC3

    where
    ON = 1 if the district is in Ontario and 0 otherwise
    QC = 1 if the district is in Quebec and 0 otherwise
    BC = 1 if the district is in BC and 0 otherwise
    AB = 1 if the district is in Alberta and 0 otherwise
    INC1 = 1 if the district is the low income range and 0 otherwise
    INC2 = 1 if the district is the middle income range and 0 otherwise
    INC3 = 1 if the district is the high income range and 0 otherwise

  • D.

    SCORE = b1 +b2STR + b3SPEND + b4HIESL + b5ON + b5QC + b6BC + b7INC2 + b8INC3

    where
    ON = 1 if the district is in Ontario and 0 otherwise
    QC = 1 if the district is in Quebec and 0 otherwise
    BC = 1 if the district is in BC and 0 otherwise
    INC2 = 1 if the district is the middle income range and 0 otherwise
    INC3 = 1 if the district is the high income range and 0 otherwise

  • E.

    SCORE = b1 +b2STR + b3SPEND + b4HIESL + b5ON + b6QC + b7BC + b8AB + b7INC2 + b8INC3

    where
    ON = 1 if the district is in Ontario and 0 otherwise
    QC = 1 if the district is in Quebec and 0 otherwise
    BC = 1 if the district is in BC and 0 otherwise
    AB = 1 if the district is in Alberta and 0 otherwise
    INC2 = 1 if the district is the middle income range and 0 otherwise
    INC3 = 1 if the district is the high income range and 0 otherwise

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Draw a supply and demand graph of the following scenarios. Use these graphs to answer what...

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Monetary Policy in Keynesian Models of the Macroeconomy (c) Part of the challenge of monetary policy...

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Determine the price elasticity of demand for commodity X, if a 15% increase in its price:...

Determine the price elasticity of demand for commodity X, if a 15% increase in its price:
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b) reduces total expenditure.
c) increases total expenditure.

Explain in detail.

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select 6-10 economic indicator that are of particular relevance to Amazon and explain why. Outline strategy...

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Outline strategy for how Amazon should respond to the information provided by the indicators with the goal of maximizing revenues in the years ahead

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All questions below rely on the following assumptions: p=20-0.25Q MC=8= Average Cost (5 pts) If there...

All questions below rely on the following assumptions:

p=20-0.25Q

MC=8= Average Cost

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And what is the total profit?

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And what is the total profit?

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Question 1 (a) Use the IS-LM model to illustrate and explain the effects of a decrease...

Question 1

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(b) Use the IS-LM model to illustrate and explain how a government could use fiscal policy to offset the effects of the decrease in consumer spending from question 1) above.

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Total has discovered a potential 1 billion barrels of “wet” gas off the coast of South...

Total has discovered a potential 1 billion barrels of “wet” gas off the coast of South Africa. The gas could be used as petrol or perhaps even converted into electricity, according to one expert. The Brulpadda gas find should mean more tax revenue and a stronger rand. How Will It Affect South Africans Firstly, government will earn more tax. Total and its partners will pay the regular 28% corporate tax on all taxable income from Brulpadda. According to the most optimistic estimates, the Brulpadda find could yield $1 trillion (R14.4 trillion) for Total and its partners, which would mean a massive tax windfall for South Africa. Certain Businesses and Skills Will Be in Demand The Brulpadda find could have a massive boost to all kinds of businesses in South Africa. Companies providing helicopters, marine services, catering supplies and transport to get supplies to the site would be required. Adapted from “Everything You Need to Know about South Africa’s Massive Gas Find” by Helena Wasserman, Business Insider SA

4.1 Assuming that government budget is at zero balance discuss the implication of the gas find in terms of government’s fiscal policy for the following economic factors:

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Goods differ on the basis of whether their consumption is rival and excludable. Explain the terms...

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