1. Given that the most probable value of the function f = x++ is 5 and the standard deviationis of = 3, Please find the most probable value and standard deviation of g=x--as the correlation coefficient between f and g.7as well

There are given two functions f=x+4x and g=x-4x The most probable value is nothing but that value of…

Answered: Given that the most probable value of…

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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Please give an example of an IMPOSSIBLE correlation coefficient.
After a first-order model was fitted to the data, the coefficient of correlation between the usage in hours per week (x) of a particular brand of computer and the maintenance cost of the computer (y) is calculated as 0.84. Interpret the value of the coefficient of determination.
True or False: If the correlation coefficient from two variables X and Y , the number of shark attacks and number of iced lemonade sales, respectively, is r= 0.98, we can conclude that an increase in iced lemonade sales causes an increase in shark attacks.
Which of the following sets of data represent valid functions? OF={(-2,- 4), (1, 3), (5, 4), (7, 8), (10, 15)} OR={(1, - 2), (1, 3), (5, 6), (8, 9), (14, 12)} OG= {(-3, 2), (1, 2), (6, 4), (3, 2), (13, 14)} OS = {(1, 5), (2, 1), (2, 4), (8, 7), (15, 14)} Calculator Check Answer
Let wages denote hourly wages, educ years of education, and exper years of experience, and suppose log(wages) = f1 + 62educ + B3exper +e where E[eleduc, exper] = 0. Let b1, b2, and bz be our estimates for B1, B2, and ß3 and r23 denote the sample correlation between {educ,}", and {exper, }". Which of the following statements is true? II O a. The variance of b3 does not depend on r23. O b. The variance of b, is increasing in E" (educ, – educ,)² (all else equal). O c. The variance of b2 is at least as large as o²/ E", (educ, - educ,)2 for o? Var(eleduc, exper). O d. The variance of b2 depends on the sign of r23. O e. The variance of b2 always increases as r23 increases (all else equal).
When two variables have a perfect linear relationship, the correlation coefficient is always 1. True False
The professor of an introductory statistics course has found something interesting: there is a small correlation between scores on his first midterm and the number of years the test-takers have spent at the university. For the 55 students taking the course, the professor found that the two variables number of years Espa spent by the student at the university and score on the first midterm have a sample correlation coefficient r of about -0.36. Test for a significant linear relationship between the two variables by doing a hypothesis test regarding the population correlation coefficient p. (Assume that the two variables have a bivariate normal distribution.) Use the 0.05 level of significance, and perform a two-tailed test. Then complete the parts below. (If necessary, consult a list of formulas.) (a) State the null hypothesis H and the alternative hypothesis H . Aa 0, B H, :0 H : O=0 (b) Determine the type of test statistic to use. (Choose one) ▼ O
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A researcher is studying the intensity of hurricanes that entered the Gulf of Mexico between 1975-2015 and the average water temperature of the Gulf of Mexico at the hurricane's peak strength. What is the independent and dependent variable in this study?

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Given that the most probable value of the function f = x++ is 5 and the standard deviation is of = 3, Please find the most probable value and standard deviation of g = x- as the correlation coefficient between f and g. =x-4,as as well