The least squares regression line is y=0.6831x+11.25
Step-by-step explanation:
LSRL is the the Least Squares Regression Line.The formula for regression line is y=mx+b where m is the slope of the line and b is the y-intercept value of the line.
First find the slope, m of the line from the means and standard deviations given
x has a mean of 17.2 g and a standard deviation of 14.0 g
y has a mean of 23.5 g and a standard deviation of 16.4 g
The correlation coefficient in both cases is 0.83, hence the slope m is given by;
m=r(Sy/Sx) where m is the slope of the line, Sy is standard deviation of y values, Sx is standard deviation of x values and r is the correction coefficient.
m= 0.5 * 23.5/17.2 =0.6831
Find the value of b, the y-intercept
b=Y-mX where X and Y are the mean values for x and y respectively
b=23.5-0.6831*17.2
b=23.5-11.75=11.25
The LSRL is y=0.6831x+11.25
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Least Squares regression Line : https://brainly.com/question/4090838
Keyword : standard deviation, least square regression line
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