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How do you get the value of y intercept in least squares method?
Wiki User
∙ 12y ago
To find the y-intercept, you need to calculate the gradient, b. Then a, the y-intercept, satisfies the equation
y-bar = a + b*x-bar
where x-bar and y-bar are the means of the two variables.
Wiki User
∙ 12y ago
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If the least squares regression line for predicting y from x is Y equals 500-20 X what is the predicted value of y?
520
How do you calculate a straight line in statistics?
The method used to calculated the best straight line through a set of data is called linear regression. It is also called the least squares method. I've included two links. I know the wikipedia link is a bit complicated. The slope and intercept are calculated based on "minimum least squares." If I draw a line through the set if points, for every x value in the data set I will have a y value and a predicted y value (y-hat) based on the straight line. The error (E) is this case is the predicted y minus the actual y. Linear regression finds the slope and intercept of the equation that minimizes the sum of the square of the errors. Mathematically this is stated as: Min z = sum (yi - y-hat)^2 To hand calculate a linear regression line wold take some time. The second link that I've included shows how to calculated this using excel.
What is the meaning of y-intercept is twice the x-intercept?
y intercept is value of y when x = 0 x intercept is value of x when y = 0 if y intercept is twice x intercept then its value is twice as high Mathematically, the standard form equation is y = mx + b where m = slope and b = y intercept for x intercept let y = 0 0 = mx + b x = -b/m = 1/2 y intercept = 1/2 time b m = -2 y = -2x + b is the equation
What is the difference of x intercept and y intercept?
The y-intercept is the value of the function when 'x' is zero. That is, it's the point at which the graph of the function intercepts (crosses) the y-axis. The x-intercept is the value of 'x' that makes the value of the function zero. That is, it's the point at which 'y' is zero, and the graph of the function intercepts the x-axis.
What are synonyms of y-intercept?
I don't know about synonyms, but the y intercept is the value of y when x = 0
If the least squares regression line for predicting y from x is Y equals 500-20 X what is the predicted value of y?
520
How do you calculate a straight line in statistics?
The method used to calculated the best straight line through a set of data is called linear regression. It is also called the least squares method. I've included two links. I know the wikipedia link is a bit complicated. The slope and intercept are calculated based on "minimum least squares." If I draw a line through the set if points, for every x value in the data set I will have a y value and a predicted y value (y-hat) based on the straight line. The error (E) is this case is the predicted y minus the actual y. Linear regression finds the slope and intercept of the equation that minimizes the sum of the square of the errors. Mathematically this is stated as: Min z = sum (yi - y-hat)^2 To hand calculate a linear regression line wold take some time. The second link that I've included shows how to calculated this using excel.
What is the x intercept when any equation has a y value of?
y must have a value of 0 at the x-intercept.
Why is it true that at x-intercept the value of y is 0 and at y-intercept the value of x is 0?
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What is intercept parameter?
The parameter is the value computed, in statistics. The x and y intercept value is where the line crosses the axis.
What is the y intercept for y equals x plus 8?
Add 8 to the x value, so f.e. If x=4, the y intercept = 4+8 =12 No, the y intercept is the value of y when the value of x = 0, so the y intercept of the equation is 8. In the general form y = mx + b, b will always be the y intercept.
How do you find the slope and y intercept of y equals mx plus b?
The value of m is the slope and the value of b is the y intercept.
What is the meaning of y-intercept is twice the x-intercept?
y intercept is value of y when x = 0 x intercept is value of x when y = 0 if y intercept is twice x intercept then its value is twice as high Mathematically, the standard form equation is y = mx + b where m = slope and b = y intercept for x intercept let y = 0 0 = mx + b x = -b/m = 1/2 y intercept = 1/2 time b m = -2 y = -2x + b is the equation
What is the least squares regression line?
Suppose you have two variables X and Y, and a set of paired values for them. You can draw a line in the xy-plane: say y = ax + b. For each point, the residual is defined as the observed value y minus the fitted value: that is, the vertical distance between the observed and expected values. The least squares regression line is the line which minimises the sum of the squares of all the residuals.
What is the difference of x intercept and y intercept?
The y-intercept is the value of the function when 'x' is zero. That is, it's the point at which the graph of the function intercepts (crosses) the y-axis. The x-intercept is the value of 'x' that makes the value of the function zero. That is, it's the point at which 'y' is zero, and the graph of the function intercepts the x-axis.
What is the difference between the slope and the y-intercept?
The slope is the value of m in which you "rise and run" point units The Y-intercept is the value in which X is zero
What are synonyms of y-intercept?
I don't know about synonyms, but the y intercept is the value of y when x = 0
