MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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Question
Month
July
August
September
October
November
December
January
February
March
April
May
June
S&P 500 % Retur Coca-Cola % Return
-7.00
4.00
3.00
-10.00
-4.00
1.00
-3.00
-4.00
-5.00
-1.00
-2.00
0.00
-5
0
3
-7
-6
14
-2
-7
222
-2
-2
0
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Transcribed Image Text:Month July August September October November December January February March April May June S&P 500 % Retur Coca-Cola % Return -7.00 4.00 3.00 -10.00 -4.00 1.00 -3.00 -4.00 -5.00 -1.00 -2.00 0.00 -5 0 3 -7 -6 14 -2 -7 222 -2 -2 0
Stock Beta. In June 2021 Yahoo Finance reported the beta value for Coca-Cola was .61 (Yahoo
Finance website). Betas for individual stocks are determined by simple linear regression. The
dependent variable is the total return for the stock, and the independent variable is the total return
for the stock market, such as the return of the S&P 500. The slope of this regression equation is
referred to as the stock's beta. Many financial analysts prefer to measure the risk of a stock by
computing the stock's beta value.
The data show the monthly percentage returns
for the S&P 500 and the Coca-Cola Company for July 2020 to June 2021. Answer the following
questions.
1. Develop a scatter diagram with the S&P % Return as the independent variable.
Label this graph as "Scatterplot Coke vs S&P"
2. What does the scatter diagram developed in part (1) indicate about the relationship between the returns of the S&P 500 and those of the Coca-Cola Company?
State your answer here
3. Develop the least squares estimated regression equation.
State your answer here..use actual names of the variables instead of saying YHAT and X.
4. Provide an interpretation for the slope of the estimated equation (i.e., the beta).
State your answer here
5. Is your beta estimate close to .61? If not, why might your estimate be different?
State your answer here
6. Do a residual plot and state whether all regression assumptions are met. (Use the standard residuals reported by Excel)
Label this graph as "Residual Plot"
State your conclusion about the assumptions here
expand button
Transcribed Image Text:Stock Beta. In June 2021 Yahoo Finance reported the beta value for Coca-Cola was .61 (Yahoo Finance website). Betas for individual stocks are determined by simple linear regression. The dependent variable is the total return for the stock, and the independent variable is the total return for the stock market, such as the return of the S&P 500. The slope of this regression equation is referred to as the stock's beta. Many financial analysts prefer to measure the risk of a stock by computing the stock's beta value. The data show the monthly percentage returns for the S&P 500 and the Coca-Cola Company for July 2020 to June 2021. Answer the following questions. 1. Develop a scatter diagram with the S&P % Return as the independent variable. Label this graph as "Scatterplot Coke vs S&P" 2. What does the scatter diagram developed in part (1) indicate about the relationship between the returns of the S&P 500 and those of the Coca-Cola Company? State your answer here 3. Develop the least squares estimated regression equation. State your answer here..use actual names of the variables instead of saying YHAT and X. 4. Provide an interpretation for the slope of the estimated equation (i.e., the beta). State your answer here 5. Is your beta estimate close to .61? If not, why might your estimate be different? State your answer here 6. Do a residual plot and state whether all regression assumptions are met. (Use the standard residuals reported by Excel) Label this graph as "Residual Plot" State your conclusion about the assumptions here
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