llustration 6. (b) Calculate Karl Pearson's coefficient of skewness from the data given below: Weekly wages No. of workers Weekly wages No. of workers 30 36 90-100 100-110 110-120 120-130 130-140 40-50 50-60 5 6. 60-70 70-80 8 10 50 60 70 80-90 25
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- Altmans z-score Altmans z-score is a financial tool for predicting insolvency in a business. For a certain company, the z-score formula is z=0.84+0.6StockpriceOutstandingsharesTotalliabilty In this exercise, we assume that thre are 45, 000 outstanding shares at a price of 4.80 each. a. Use L, for total liability, in dollard, and give a formula for the z-score for this company. b. Would a larger total liability idicate a better or worese outlook for the company? c. A z-score of 1.81 or lower indicates a high probability of insolvency. What is the smallest value of L that will give a z-score that indicates a high probability on insolvency?1. Calculate Karl Pearson’s coefficient of skewness:Variable Frequency Variable Frequency70-80 11 30-40 2160-70 22 20-30 1150-60 30 10-20 640-50 35 0 -10 5Qestion 1- from table below: x y x2 y2 xy5 25 25 625 1253 20 9 400 604 21 16 441 8410 35 100 225 35015 38 225 1444 570∑X= ∑y= ∑X2= ∑y2= ∑XY=Correlation Coefficient is: A-0.79B-0.97C-0.03D-1 Coefficient of Determination is: A-0.97B-0.0C-0.94D-0.06 The Coefficient of Determination quantity means: A-94% from data can be explained from the linear equation between x and yB-94% from data can not be explained from the linear equation between x and yC97% from data can be explained from the linear equation between x and yD-6% from data can be explained from the linear equation between x and y The relation between x and whey is: A-perfect directB-strong indirectC-intermediate directD-strong direct The Coefficient of Determination quantity from: A(-1 to 1)B(-1 to 0)C(0 to -1)D(0 to 1)
- NEW STUDY: Dr. Apnea conducted a study investigating the effects of sleep deprivation on complex problem solving. He gave 25 college students a problem-solving test at noon on one day and a second problem-solving test at noon the following day. He found that there was a statistically significant mean decrease of 4.7 between the two tests from the first day to the second day. The test yielded a Cohen’s d = .82. Which of the following statements is an accurate interpretation of Dr. Apnea’s research? Group of answer choices It doesn’t matter how much sleep you get, some people just aren’t good at problem solving. If you don’t get enough sleep your problem solving abilities suffer, but only with a small absolute magnitude. If you don’t get enough sleep your problem solving abilities suffer with a medium absolute magnitude. If you don’t get enough sleep your problem solving abilities suffer with a large absolute magnitude.INV 2-3c Suppose that the index model for two Canadian stocks HD and ML is estimated with the following results: RHD =0.02+0.80RM+eHD R-squared =0.6 RML =-0.03+1.50RM+eML R-squared =0.4 σM =0.20 where M is S&P/TSX Comp Index and RX is the excess return of stock X. c. What is the covariance and the correlation coefficient between HD and ML?Consider the Categorical Variable County Classification with the following categories : Urban , Suburban Exurban , and Rural . The dependent variable in the Linear Regression is the percentage of the population under 18 years of age in decimal form . Suppose Urban is the excluded category . The coefficient on Suburban is 0.07 . The coefficient on Exurban is -0.002 . The coefficient on Rural is -0.12. What is the interpretation of the coefficient on Suburban ? A. Suburban counties have a 7 percentage point higher population under 18 years of age compared to Urban counties B. Suburban counties have a 7 percentage point higher population under 18 years of age compared to Rural counties C. Urban counties have a 7 percentage point higher population under 18 years of age compared to Suburban counties D. There no way to determine from these results how the percentage of the population under 18 years of age is different in different county classifications
- A regression was run to determine if there is a relationship between the happiness index (y) and life expectancy in years of a given country (x).The results of the regression were: ˆyy^=a+bxa=-1.778b=0.143 (a) Write the equation of the Least Squares Regression line of the formˆyy^= + x(b) Which is a possible value for the correlation coefficient, rr? -0.853 0.853 -1.931 1.931 (c) If a country increases its life expectancy, the happiness index will decrease increaseA “Cobb–Douglas” production function relates production (Q) to factorsof production, capital (K), labor (L), and raw materials (M), and an errorterm u using the equation Q = λKβ1Lβ2Mβ3eu, where λ, β1, β2, and β3 areproduction parameters. Suppose that you have data on production and thefactors of production from a random sample of firms with the same Cobb–Douglas production function. How would you use regression analysis toestimate the production parameters?Marine biologists have noticed that the color of the outermost growth band on a clam tends to be related to the time of year in which the clam dies. A biologist conducted a small investigation of whether this is true for the species Protothaca staminea. She collected a sample of 50 clam shells in February and 27 clam shells in March. 15 of the shells from February had a dark color on the outermost growth band, whereas 8 of the shells from March had a dark color on the outermost growth band. Carry out a hypothesis test to see if there is a difference in the proportion of shells with a dark outermost growth band between the two months. The point estimate for the true difference in proportion of dark growth bands between February and March is:
- Marine biologists have noticed that the color of the outermost growth band on a clam tends to be related to the time of year in which the clam dies. A biologist conducted a small investigation of whether this is true for the species Protothaca staminea. She collected a sample of 50 clam shells in February and 27 clam shells in March. 15 of the shells from February had a dark color on the outermost growth band, whereas 8 of the shells from March had a dark color on the outermost growth band. Carry out a hypothesis test to see if there is a difference in the proportion of shells with a dark outermost growth band between the two months. Let ? = 0.01. A) The point estimate for the true difference in proportion of dark growth bands between February and March is:Marine biologists have noticed that the color of the outermost growth band on a clam tends to be related to the time of year in which the clam dies. A biologist conducted a small investigation of whether this is true for the species Protothaca staminea. She collected a sample of 50 clam shells in February and 27 clam shells in March. 15 of the shells from February had a dark color on the outermost growth band, whereas 8 of the shells from March had a dark color on the outermost growth band. Carry out a hypothesis test to see if there is a difference in the proportion of shells with a dark outermost growth band between the two months. Let ? = 0.01.Note: Do all calculations as February - March A) The point estimate for the true difference in proportion of dark growth bands between February and March is: I need help and webassign rejected the 0.0037 as the answer. I'm so lost. I emailed my professor and he hasn't gotten back to me. Please help. Thank you.x 0 2 2 4 5 y -1 0 4 6 7 calculate: sum of the xy values, sum of xsquared values, sum of the y squared values and value of r, the correlation coefficient
