nGmiS5. The line of regression of marks in Statistics (X) on marks in Accountancy (Y) for aclass of 50 students is:3Y-5X+180 = 0Average marks in Accountancy is 44 and variance of marks in Statistics isof variance of16marks in Accountancy.Find (i) The average marks in Statistics, and (ii) Coefficient of correlation between marks inStatistics and marks in Accountancy.Ssta.

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Answered: NGmiS5. The line of regression of marks…

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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6. There is a class of 80 students taking Maths and English lectures; the regression equation of grades in English (X) lesson on grades in Maths (Y) is 6Y - 5X + 20 = 0. The mean grades in Maths is 42 and variance of grades in English is 36/49 of the variance of grades in Maths. Find the mean grades in English and the correlation coefficient between grades in the two lectures.
A professor obtains SAT scores and freshman grade point averages (GPAs) for a group of n = 15 college students. The SAT scores have a mean of M = 580 with SS = 22,400, and the GPAs have a mean of 3.10 with SS = 1.26, and SP = 84. Find the regression equation for predicting GPA from SAT scores. What percentage of the variance in GPAs is accounted for by the regression equation? (Compute the correlation r, then find r^2.) Does the regression equation account for a significant portion of the variance in GPA? Use α = .05 to evaluate the F-ratio.
Provide an appropriate response Given the length of a Human’s femur, x, and the length of a human’s humerus, y, would you expect a positive correlation, negative correlation, or no correlation?
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The mean height of Americanwomen in their twenties is about 64.3 inches, and the standard deviation is about 3.9 inches. The mean height of menthe same age is about 69.9 inches, with standard deviationabout 3.1 inches. Suppose that the correlation between theheights of husbands and wives is about r 0.5.(a) What are the slope and intercept of the regressionline of the husband’s height on the wife’s height in youngcouples?(b) Draw a graph of this regression line for heights of wivesbetween 56 and 72 inches. Predict the height of the husbandof a woman who is 67 inches tall, and plot the wife’s heightand predicted husband’s height on your graph.(c) You don’t expect this prediction for a single couple to bevery accurate. Why not?
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