Answer :
The equation of the least squares regression line is a statistical method used to determine the line of best fit for a given set of data.
This method is used to predict the value of a dependent variable based on the value of an independent variable. To find the equation of the least squares regression line for a data set, you need to first find the mean of the x-values and the y-values. Then, you can use the following formula:
y = bx + a
where b is the slope of the line and a is the y-intercept.
To find the slope, you can use the following formula:
b = ∑(x - x')(y - y') / ∑(x - x')^2
To find the y-intercept, you can use the following formula:
a = y' - bx'
For the equation y = 3x + 1, the slope is 3 and the y-intercept is 1.
For the equation 3x−1=1−3x, you can solve for x by moving all the terms to one side of the equation and setting it equal to zero. This gives you the equation 6x = 2, so x = 1/3. Substituting this value back into the original equation gives you y = -1/3.
Learn more about Least square regression at:
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