Create a scatterplot of this dataset (either manually, or by using Excel graphing functions) Calculate the sample means, variances, and standard deviations of the variables X and Y either "by hand" or by using Excel and write one sentence describing what each of these mean in terms of the dataset. The calculations below should be done by applying the bivariate regression formulas. In other words, do them “by hand" using a calculator or in Excel in a manner that I can clearly see the formulas you have used. You should also check your calculations by entering the data into an Excel sheet and using the regression analysis function under Data Tools. 1. Show how to calculate a and b. In a sentence, discuss the interpretation of each of them. 2. Calculate the predicted value of 3. Calculate the Sum of Square Errors (SSE), Mean Square Error (MSE) and the Standard and the residual for each observation. Error (s) Explain the meaning of each of them

Create a scatterplot of this dataset (either manually, or by using Excel graphing functions) Calculate the sample means, variances, and standard deviations of the variables X and Y either "by hand" or by using Excel and write one sentence describing what each of these mean in terms of the dataset. The calculations below should be done by applying the bivariate regression formulas. In other words, do them “by hand" using a calculator or in Excel in a manner that I can clearly see the formulas you have used. You should also check your calculations by entering the data into an Excel sheet and using the regression analysis function under Data Tools. 1. Show how to calculate a and b. In a sentence, discuss the interpretation of each of them. 2. Calculate the predicted value of 3. Calculate the Sum of Square Errors (SSE), Mean Square Error (MSE) and the Standard and the residual for each observation. Error (s) Explain the meaning of each of them

Name: Asking for help! Thank you Part 1. The following data represent a rand
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Description: Asking for help! Thank you Part 1. The following data represent a random sample of 5 observations. Assume that Y is a linearfunction of X and a normally distributed disturbance term with a mean of zero and a constantvariance. In other words: Y = a +

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter1: Equations And Graphs

Section: Chapter Questions

Problem 10T: Olympic Pole Vault The graph in Figure 7 indicates that in recent years the winning Olympic men’s...

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Olympic Pole Vault The graph in Figure 7 indicates that in recent years the winning Olympic men’s pole vault height has fallen below the value predicted by the regression line in Example 2. This might have occurred because when the pole vault was a new event there was much room for improvement in vaulters’ performances, whereas now even the best training can produce only incremental advances. Let’s see whether concentrating on more recent results gives a better predictor of future records. (a) Use the data in Table 2 (page 176) to complete the table of winning pole vault heights shown in the margin. (Note that we are using x=0 to correspond to the year 1972, where this restricted data set begins.) (b) Find the regression line for the data in part ‚(a). (c) Plot the data and the regression line on the same axes. Does the regression line seem to provide a good model for the data? (d) What does the regression line predict as the winning pole vault height for the 2012 Olympics? Compare this predicted value to the actual 2012 winning height of 5.97 m, as described on page 177. Has this new regression line provided a better prediction than the line in Example 2?
Suppose that the index model for two Canadian stocks HD and ML is estimated with the following results: RHD =-0.03+2.10RM+eHD R-squared =0.7 RML =0.06+1.60RM+eML R-squared =0.6 σM =0.15 where M is S&P/TSX Comp Index and RX is the excess return of stock X. What is the covariance and the correlation coefficient between HD and ML?
Suppose that the index model for two Canadian stocks HD and ML is estimated with the following results: RHD =-0.03+2.10RM+eHD R-squared =0.7 RML =0.06+1.60RM+eML R-squared =0.6 σM =0.15 where M is S&P/TSX Comp Index and RX is the excess return of stock X. What is the covariance and the correlation coefficient between HD and ML? For portfolio P with investment proportion of 0.4 in HD and 0.6 in ML, calculate the systematic risk, non-systematic risk, and total risk of P.
A dietitian wishes to see if a person’s cholesterol level will be changed if the diet is supplemented by a certain mineral. Four subjects were pre-tested, and they took the mineral supplement for a 6-week period. The results are shown in the table. Is there sufficient evidence to conclude that the population mean of cholesterol levels has been changed after six weeks at α=0.2α=0.2? Assume that the differences are from an approximately normally distributed population. Subject Cholestrol Level (mg/dl) Cholestrol Level after 6 Weeks (mg/dl) dd ¯dd¯ (d−¯d)2(d-d¯)2 1 206 217 11 2 219 184 -35 3 202 204 2 4 213 205 -8 Total -30 a) Calculate the mean, the sum of the squared deviation from the mean, and the standard deviation of differences. Do not include the unit for each answer: ¯d=d¯= (do not round) ∑(d−¯d)2=∑(d-d¯)2= (do not round) sd=sd= (rounded to one decimal place) b) Perform the hypothesis test in the following steps: Step 1.…
Below is the SPSS output for the relationship between height at age 3 (X) and at age 20 (Y). Correlations heightAt3 heightAt20 heightAt3 Pearson Correlation 1 .840** Sig. (2-tailed) .000 N 16 16 heightAt20 Pearson Correlation .840** 1 Sig. (2-tailed) .000 N 16 16 **. Correlation is significant at the 0.01 level (2-tailed). ANOVAa Model Sum of Squares df Mean Square F Sig. 1 Regression 236.838 1 236.838 33.628 .000b Residual 98.599 14 7.043 Total 335.438 15 Dependent Variable: heightAt20 Predictors: (Constant), heightAt3 Coefficientsa Model Unstandardized Coefficients Standardized Coefficients t Sig. B Std. Error Beta 1 (Constant) 41.679 4.470 9.325 .000 heightAt3 .664 .114 .840 5.799 .000 Dependent Variable: heightAt20 State hypothesis for the…
D & R A1 10 - 7 Question 10. Minimum Variance Commodity Hedge Choc Full of Good Inc., a producer of powdered hot chocolate, has just received a large order that will require the purchase of 800 metric tons of cocoa in 3 months. The current spot price of cocoa is US $3,055 per metric ton. The standard deviation of the change in spot cocoa price is 0.2. Mr. Dulce, the CFO of Choc Full, is considering a minimum-variance hedge of this future cocoa purchase using the three-month cocoa futures contract. The contract size is 10 metric tons. The standard deviation of the change in cocoa futures price is 0.25. The covariance between the change in the spot and futures cocoa price is 0.035. The annually compounded interest rate faced by the company is 5%, the three-month storage cost is $2.5 per metric ton, and the convenience yield is $0.5 per metric ton. What is the correlation of the change in the spot and futures cocoa price?
A portfolio with a beta of 0.7 with market and residual variance of 10, market variance being 196 , the total risk in terms of standard deviation of the fund is a. 10.30 b. 14 c. 10 d. 7