Calculate the Covariance and Correlation from the table below State of Economy Probability A 0.1 B C D E 0.2 0.4 0.2 0.1 Returns(x) -8% 10% 8% 5% -4% Returns (Y) 14% -4% 6% 15% 20%
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- Q5. Write a short note on Correlation and Regression analysis.Stock A has an expected annual return of 18% and a volatility of 34%. Stock B has an expected annual return of 12% and a volatility of 28%. The correlation of the returns of the two stocks is equal to 0.4. Find the expected return of the efficient portfolio with a volatility of 29%. solve on paper pleaseBelow are percentages for annual sales growth and net sales attributed to loyalty card usage at 74 Noodles & Company restaurants. Annual Sales Growth (px;) and Loyalty Card Usage (px; of Net Sales)(n = 74 restaurants) Store Growth% Loyalty% Store Growth% Loyalty% 1 -7.8 0.7 38 7.3 1.5 2 -6.9 2.5 39 7.4 1.7 3 -5.1 1.6 40 7.7 2.3 4 -4.7 1.4 41 8.0 2.0 5 -3.8 2.5 42 8.0 1.6 6 -1.7 1.5 43 8.3 1.9 7 -1.7 2.6 44 8.4 2.0 8 -1.6 2.4 45 8.6 2.2 9 -1.1 2.2 46 8.6 1.6 10 -1.0 1.9 47 8.7 0.9 11 0.4 1.2 48 8.9 1.7 12 0.6 0.5 49 9.4 1.6 13 0.6 2.1 50 9.5 1.3 14 1.0 1.3 51 9.5 2.1 15 1.3 2.0 52 10.5…
- For each of the following pairs of variables, indicate whether you would expect a positive correlation, a negative correlation, or a correlation close to 0. Explain your choice.a. Maximum daily temperature and cooling costsb. Interest rate and number of loan applicationsc. Amount of fertilizer used per acre and crop yield (Hint: As the amount offertilizer is increased, yield tends to increase for a while but then tends to start decreasing.)Suppose the correlation between height and weight for adults is +0.80. What proportion (or percent) of the variability in weight is due to the relationship with height (i.e., what is the R2)?The stock market did well during the 1990s. Here are the percent total returns (change in price plus dividends paid) for the Standard & Poor's 500 stock index: Year 1990 1991 1992 1993 1994 1995 1996 1997 1998 1999 Return –3.1 30.5 7.6 10.1 1.3 37.6 23.0 33.4 28.6 21.0 The correlation of U.S. stock returns with overseas stock returns during these years was about r = 0.4. This tells you that
- We have measurements from eight companies for the % workforce change in 2010 from 2009 and the % change in profits from 2010 to 2011. % workforce change (x): 1.0 % profit change (y): 1.5 -0.4 -2.6 -3.8 -5.8 -2.5 -0.1 0.4 0.4 0.1 -0.2 -0.5 -7.5 0.2 0.3 We can calculate: Er = -12.7, Ex² = 64.51, Συ--6.8 , Σ 57, Σεy- 46.35. Find the sample correlation between the two variables, and fit a simple linear model to the dataset. Also, plot the residuals, ri, against xi, and comment on the fit of the model.Q13What is the correlation between average monthly rainfall and crop yield in a given region over the past 10 years, and how does this relationship vary across different types of crops grown in the area?