45. Calculate the correlation coefficient from the following results :N- 10, Σ X= 350 Σ Υ- 310Σ (X-35= 162, Σ (Y- 31)? = 222E (X-35) (Y-31) = 92.erlw%3D%3DAlso find the regression line of Y on X

We want to find the correlation and regression line y on x .

Answered: • 45. Calculate the correlation…

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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Suppose f(x,y)=10x2y, 0<y<x<1, What is the Correlation of the variable X and Y?
The value of the correlation r = (x,y) for the information would be: n = 8, Sum(x) = 609, Sum(y) = 504, Sum (x)^2 = 47995, Sum (y)^2 = 32954, and Sum (xy) = 395650 0.255 0.147 0.855 0.174
An investigation into the relationship between an adolescent mother's age x in years and the birth weight y of her baby in grams yielded the regression equation y= - 1163.45 + 245.15x as well as r = .88369, r2= .78091, SSE = 337212.45, and s= 205.30844 1) What is the predicted birth weight for a baby brn to a 17 year old woman? 2) What is the propotion of the variability in the weights of babies born to adolescent mothers that is accounted for by the mother's age? 3) For every additional year in the mother's age that mean birth weight of the baby? (a) increases by about 245g (b) decreases by about 245g (c) increases by about 1163g (d) increases by about 1163g (e) changes by an amount that cannot be determined from the information given.
If 0 is the angle between the two regression lines. Show that sin 0 < 1 - r? (r is the correlation coefficient )
The value of the correlation r = (x,y) for the information would be: n = 8, Sum(x) = 609, Sum(y) = 504, Sum (x)^2 = 47995, Sum (y)^2 = 32954, and Sum (xy) = 395650
Calculate correlation and probable error between physical parameters (temperature and humidity) Number of families(x)=2 Number of sites(n)= 1 Temperature(y) in autumn= 24.1 Humidity(y) in autumn= 35 20 1 19 Calculate correlation and probable error between physical parameters (temperature and humidity) Using the following formula coefficient of correlation (r). r = n([xy)-([x) (Ey) V[n(Ex 2)-(Ex) 2][n(Ey2)-([y) 2] I

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• 45. Calculate the correlation coefficient from the following results : N- 10, Σ X= 350) Σ Υ- 310 Σ(X-35= 162, Σ (Y- 31)? = 222 E(X-35) (Y-31) = 92. Also find the regression line of Y on X