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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Choose the value of the Pearson's Correlation Coefficient (r) that best describes the two plots. : 0.504, II: -0.232. 2) I: -0.904, II: 0.232. 3) I: 0.904, II: -0.232. 4) I: -0.232, II: 1.304. 5) I: 0.904, II: -0.632.
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).
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
Suppose X ~ N(3, 1.2). What value of x is two standard deviations to the right of the mean?
Suppose a friend of yours computes a correlation coefficient of +1.10 and comes to you for advice as to how to interpret it. What would you tell your friend?
Suppose Y1, Y2 and 3Y are not correlated variables, however, have the same standard deviation. Show that correlation between Y1 + Y2 and Y2 + Y3 is equal to half. Whether correlation coefficient is zero or not
If X variable increasing when Y variable decreasing, then there is a negative correlation between them. Select one: True False
Suppose X ~ N(6, 2). What value of x is two standard deviations to the right of the mean?
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?
Data were recorded for 117 months on a household's gas bill (in dollars) and the average monthly temperatures for its neighborhood. The mean monthly temperature was 48.7°F with a standard deviation of 20.6. The mean gas bill price was $81.20 with a standard deviation of 66.5. The correlation coefficient between monthly temperature and gas bill price is -0.92. 22) Determine the correct value of the slope for the linear model that predicts gas bill price from monthly temperature and interpret it in context. The slope is - 2.97. For every one degree increase in monthly temperature, the gas bill price is predicted to decrease by $2.97. The slope is - 0.28. For every one degree increase in monthly temperature, the gas bill price is predicted to decrease by $0.28. The slope is - 2.97. For every one dollar increase in gas bill price, the monthly temperature is predicted to decrease by 2.97°. The slope is - 0.28. For every one dollar increase in gas bill price, the monthly temperature…
True or False: A correlation that is calculated to correct for unreliability or restriction of range can be above 1.0 or lower than -1.0.

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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