The line of regression of marks in Statistics (X) on marks in Accountancy (Y) for akE 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.

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Answered: The line of regression of marks in…

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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For 50 students of a class the regression equation of marks in Statistics (X) on marks in Accountancy (Y) is 3Y – 5X + 180 = 0. The mean marks in of Accountancy is 50 and variance of marks in statistics is of the variance of marks in Accountancy. Find the mean marks in statistics and the coefficient of correlation between marks in the two subjects when the variance of Y is 25.
Find the variance if X~N(0, 7) and 95% of the data are between -7 and 7.
In general, how is the magnitude of the standard error of estimate related to the value of the correlation?
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.
A pediatrician wants to determine the relation that exists between a child's height (x) and head circumference (y). She randomly selects 11 children from her practice and measures their height and head circumference in inches. She finds that the correlation is 0.477 and the regression equation is y = 0.149x + 8.15 What proportion of the variation in head circumference can be explained by the variation in the values of height? % Report answer as a percentage accurate to one decimal place.
In a regression study, relating Price/unit (x) to Weekly Sales (in Kg.), with the scatter plot showing a strong negative direction, 63% of the variability in sales could be accounted for by the variation in the Unit Price. The correlation coefficient in this study is: 0.7 -0.4 -0.79 0.4
In a regression study, relating Price/unit (x) to Weekly Sales (in Kg.), with the scatter plot showing a strong negative direction, 63% of the variability in sales could be accounted for by the variation in the Unit Price. The correlation coefficient in this study is: 0.79 -0.4 -0.79 0.4
A pediatrician wants to determine the relation that exists between a child's height (x) and head circumference (y). She randomly selects 11 children from her practice and measures their height and head circumference in inches. She finds that the correlation is 0.694, and the regression equation is y = 0.294x + 2.02. What proportion of the variation in head circumference can be explained by the variation in the values of height? Round your answer to three decimal places. %
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A researcher studied the relationship between the amount of carbohydrates (x) and the amount of salt (y) in different food products. sample of 36 food products yielded these calculations: r = -0.1245, ŷ=0.5545– 0.1636x According to the correlation, if a food contains more carbohydrates, is it likely to contain more salt or less salt? Why or why not?
A linear relationship exists between two variables x and y. The correlation coefficient was calculated for the sample data and is equal to -0.93. Using the estimated regression equation, a straight line that will best fit the data points can be drawn through the points on the scattergram. The line slopes downward from left to right and the points are not scattered close to the line. True or false
For 50 students of a class the regression equation of marks in Statistics (X) on the marks in Accountancy (Y) is 3Y – 5 X + 180 = 0. The mean marks of Accountancy is 44 and variance of marks in Statistics is 9/16th of the variance of marks in Accountancy. Find the mean marks of Statistics and the coefficient of correlation between marks in two subjects.

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