4 MCQ Maths Ques
Question # 00019049
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Updated on: 07/04/2014 09:02 AM Due on: 07/05/2014
2.
What is the difference between a population linear model and an estimated
linear regression model?
3.
Compute the coefficients for a least squares regression equation and write
the equation, given the following sample statistics:
a.
b.
c.
d.
e.
=50, =100, =25, =75, =0.6, n=60
=60, =210, =35, =65, =0.7, n=60
=20, =100, =60, =78, =0.75, n=60
=10, =50, =100, =75, =0.4, n=60
=90, =200, =80, =70, =0.6, n=60
4.
For a sample of 20 monthly observations a financial analyst wants to regress
the percentage rate of return (Y) of the common stock of a corporation on
the percentage rate of return (X) of the Standard and Poor’s 500 index. The
following information is available:
a. Estimate the linear regression of Y on X.
b. Interpret the slope of the sample regression line.
c. Interpret the intercept of the sample regression line.
5.
It was hypothesized that the number of bottles of an imported premium beer
sold per evening in the restaurants of a city depends linearly on the average
costs of meals in the restaurants. The following results were obtained for a
sample of n=17 restaurants of approximately equal size where
y= number of bottles sold per evening
x= average cost, in dollars, of a meal
=25.5 =16.0 =350
=180
a. Find the sample regression line.
b. Interpret the slope of the sample regression line.
c. Is it possible to provide a meaningful interpretation of the intercept of
the sample regression line? Explain.
What is the difference between a population linear model and an estimated
linear regression model?
3.
Compute the coefficients for a least squares regression equation and write
the equation, given the following sample statistics:
a.
b.
c.
d.
e.
=50, =100, =25, =75, =0.6, n=60
=60, =210, =35, =65, =0.7, n=60
=20, =100, =60, =78, =0.75, n=60
=10, =50, =100, =75, =0.4, n=60
=90, =200, =80, =70, =0.6, n=60
4.
For a sample of 20 monthly observations a financial analyst wants to regress
the percentage rate of return (Y) of the common stock of a corporation on
the percentage rate of return (X) of the Standard and Poor’s 500 index. The
following information is available:
a. Estimate the linear regression of Y on X.
b. Interpret the slope of the sample regression line.
c. Interpret the intercept of the sample regression line.
5.
It was hypothesized that the number of bottles of an imported premium beer
sold per evening in the restaurants of a city depends linearly on the average
costs of meals in the restaurants. The following results were obtained for a
sample of n=17 restaurants of approximately equal size where
y= number of bottles sold per evening
x= average cost, in dollars, of a meal
=25.5 =16.0 =350
=180
a. Find the sample regression line.
b. Interpret the slope of the sample regression line.
c. Is it possible to provide a meaningful interpretation of the intercept of
the sample regression line? Explain.
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Solution: 4 MCQ Maths Ques