Which of the following statements about the correlation coefficient is correct?1. Positive correlation coefficients imply that the returns on security A tend to move inthe same direction as those on security BII. A correlation coefficient of 0.7 implies that if the returns on security A increase by10%, the returns on security B will increase by 7%III. A correlation coefficient of 0 implies that if the returns on security A increase by10%, the returns on security B will stay stableO a. I and III are correctO b. Only I is correctO c. All statements are correctOd. II and III are correctOe. I and II are correct.

Coefficient correlation : The coefficient of correlation could be a applied math live of the…

Answered: Which of the following statements about…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Table #10.1.6 contains the value of the house and the amount of rental income in a year that the house brings in ("Capital and rental," 2013). Find the correlation coefficient of determination and then interpret both Table #10.1.6: Data of House Value versus Rental Value Rental Value Rental Value Rental Rental Value 67500 81000 6656 77000 4576 75000 7280 6864 95000 7904 94000 8736 90000 6240 85000 7072 121000 12064 115000 7904 110000 7072 104000 7904 135000 8320 130000 9776 126000 6240 125000 7904 145000 8320 140000 9152 7488 9568 140000 135000 7488 165000 13312 165000 8528 155000 148000 8320 178000 11856 174000 10400 170000 9568 170000 12688 匯 190000 200000 225000 8320 12272 8528 200000 200000 10608 194000 11232 8320 10400 11648 10192 12272 10400 200000 240000 214000 208000 240000 10192 240000 12064 12480 244500 11232 12896 12480 289000 11648 270000 262000 325000 12480 310000 303000 300000 12480
1. It has been noted that there is a positive correlation between the U.S. economy and the height of women's hemlines (distance from the floor of the bottom of a skirt or dress) with shorter skirts corresponding to economic growth and lower hemlines to periods of economic recession. Comment on the conclusion that economic factors cause hemlines to rise and fall. # of Absences (in weeks) Exam Grade 1 2 345 23 014 90 85 95 92 80
5. You have a sample of 19 students and plan to determine if a linear relationship can be used to predict the SAT score as a function of the high school GPA. What value does the correlation coefficient need to exceed, according to the r√n> 3 rule, in order for you to be able to say that the correlation between the SAT score and the high school GPA is significant, instead of it having occurred by random chance? Write your answer as a decimal correctly rounded to three decimal places.
11. The National Oceanic and Atmospheric Administration tracks the amount of oysters harvested from the Chesapeake Bay each year. Years since 1900 10 20 43 52 84 89 Oysters (metric tons) 36 20.6 9.24 8.22 2.73 2.25 a) Is there a correlation? If so, describe the shape and strength. If no correlation, go on to #12, if there is a correlation, complete the parts below. b) The regression equation that describes this: c) Based on this, how much was harvested in 1931? d) What does x = 60 represent? e) Find the value of f(x) when x = 60 What does this mean in context?
An institutional research administrator believes that there is a direct relationship between a student’s GPA and their score on a senior Aptitude Test. The following data show the results of 10 student’s grade point averages (X) and their aptitude test score (Y). GPA (X) Aptitude Test Score (Y) 2.4 25 2.5 32 2.6 28 2.4 37 3.1 33 3.0 38 3.7 44 3.4 42 3.8 49 Develop an estimated regression equation relating GPA and Aptitude Test score. Use the formulas from our notes to compute this equation. SHOW ALL WORK!! DO NOT USE EXCEL!! If a student’s GPA is 3.35, predict their Aptitude Test score
Which of the following is true regarding weak correlation coefficients? a. They indicate a slight causation between variables. b. They are found only with Pearson r coefficients. c. They may be the result of restricted range for one of the variables. d. They are rarely found in social science research.
Suppose a local university researcher wants to build a linear model that predicts the freshman year GPA of incoming students based on high school SAT scores. The researcher randomly selects a sample of 40 sophomore students at the university and gathers their freshman year GPA data and the high school SAT score reported on each of their college applications. He produces a scatterplot with SAT scores on the horizontal axis and GPA on the vertical axis. The data has a linear correlation coefficient of 0.481202. Additional sample statistics are summarized in the table below. Variable Sample Sample standard Variable description mean deviation high school SAT score x = 1495.716802 Sx = 109.915203 y freshman year GPA y = 3.260911 Sy 0.492802 r = 0.481202 slope = 0.002157 Determine the y-intercept, a, of the least-squares regression line for this data. Give your answer precise to at least four decimal places. a =
Theoretically, returns on stocks or assets can be negatively correlated. In the real world, however, we usually encounter only positive correlations. Why may this be the case?
a. construct an econometric model that exhibits positive correlation between stock prices up to order 3 .the model should also exhibit the clustering of volatility. The model should also show the incorporation of information from infinite order of lag error terms? what is the name of this model?
Referring to Scenario 13-11, which of the following is the correct interpretation for the slope coefficient?a) For each decrease of 1 thousand downloads, the expected revenue is estimated to increase by $3.7297 thousands.b) For each increase of 1 thousand downloads, the expected revenue is estimated to increase by $3.7297 thousands.c) For each decrease of 1 thousand dollars in expected revenue, the expected number of downloads is estimated to increase by 3.7297 thousands.d) For each increase of 1 thousand dollars in expected revenue, the expected number of downloads is estimated to increase by 3.7297 thousands.

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