Two variables, x and y, have a correlation of 0.75. F x has a mean of 25 and a standard deviation of 3, and yy has a mean of 12 and a standard deviation of 6, what is the least-squares regression line for the two variables?

the least-squares regression line for the two variables

    y = 1.5x -25.5

Step-by-step explanation:

Explanation:-

Let the straight line satisfying the general trend of n dots in a scatter diagram

be y = a + b x   ... (1)

we have to determine the constants a and b so that (1) gives for each value of 'x' the best estimate for the average value of y in accordance with the principal of least squares

The normal equations of a and b are

∑y =n a +b∑ x

∑x y = a ∑x +b∑x^2

The line of best fit formula is

Now given data

mean of x is x⁻ = 25

standard deviation of x =3

mean of y is y⁻ = 12

standard deviation of y =6

Given Two variables, x and y, have a correlation of 0.75.

r=0.75

The equation of least squares best fit regression line is

on simplification we get y-12 = 1.5(x-25)

                                          y = 12 + 1.5x - 1.5X25

                                       y = 1.5x -25.5

eve and marks ratios are equivalent

step-by-step explanation:

sas (side angle side)

aa (angle angle)

sss(side side side)

sas find two sides with an angle in between

aa is finding two angles and the third will add up to 180

sss find all sides

step-by-step explanation: