Question
In: Statistics and Probability
You are given the following data set: {(0,3), (0.5,4.2), (1,5.2), (1.1, 5), (1.5, 5.6)}, where the...
You are given the following data set: {(0,3), (0.5,4.2), (1,5.2), (1.1, 5), (1.5, 5.6)}, where the first coordinate is the independent (explanatory) variable, and the second coordinate is the dependent variable.
(a) What is the variance of the data?
(b) What is the mean squared error of the model that has
y-intercept 3 and slope 2?
(c) Use R2 to argue how much the feature in (c) explains the variation in the data.
Solutions
Expert Solution
(Note: In Part b the estimated parameter values obtained using least square method are rounded to nearest integer. )
orchestra answered 2 years agoRelated Solutions
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Characteristic Line You are given the following set of data: Historical Rates of Return Year NYSE...
Characteristic Line
You are given the following set of data:
Historical Rates of Return
Year
NYSE
Stock Y
1
4.0
%
3.5
%
2
14.3
17.7
3
19.0
9.2
4
- 14.7
- 9.0
5
- 26.5
- 12.2
6
37.2
32.1
7
23.8
6.7
8
- 7.2
3.5
9
6.6
13.9
10
20.5
22.7
11
30.6
17.0
Mean =
9.8
%
9.6
%
σ =
19.6
%
13.1
%
Use a spreadsheet or a calculator with a linear regression...
You are given the following set of data: HISTORICAL RATES OF RETURN Year NYSE Stock X...
You are given the following set of data:
HISTORICAL RATES OF RETURN
Year
NYSE
Stock
X
1
- 26.5%
- 19.0%
2
37.2
16.0
3
23.8
15.5
4
- 7.2
3.0
5
6.6
9.1
6
20.5
19.4
7
30.6
19.5
The data has been collected in the Microsoft Excel Online file
below. Open the spreadsheet and perform the required analysis to
answer the questions below.
Open spreadsheet
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You are given the following set of data: HISTORICAL RATES OF RETURN Year NYSE Stock X...
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NYSE
Stock
X
1
- 26.5%
- 10.0%
2
37.2
21.0
3
23.8
18.5
4
- 7.2
2.0
5
6.6
8.9
6
20.5
19.9
7
30.6
18.8
Use a spreadsheet (or a calculator with a linear regression
function) to determine Stock X's beta coefficient. Round your
answer to two decimal places.
Beta =
Determine the arithmetic average rates of return for Stock X
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Characteristic Line and Security Market Line You are given the following set of data: HISTORICAL RATES...
Characteristic Line and Security Market Line
You are given the following set of data:
HISTORICAL RATES OF RETURN
Year
NYSE
Stock
X
1
- 26.5%
- 17.0%
2
37.2
16.0
3
23.8
14.0
4
- 7.2
5.0
5
6.6
9.9
6
20.5
19.4
7
30.6
17.9
Use a spreadsheet (or a calculator with a linear regression
function) to determine Stock X's beta coefficient. Round your
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Beta =
Determine the arithmetic average rates of return for...
You are given the following data:
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Year sales
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2018 GHc 120,
000 8000
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Find out:
i. P/V ratio
ii. Break-even point
iii. Profit when sales are GHc 180,000
iv. Sales required to earn a profit of GHc 12,000
v. Margin of safety in year 2019.
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