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.
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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.
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
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.
Yes, the y-intercept can be a decimal. In the equation of a line in slope-intercept form, y = mx + b, the y-intercept is represented by the value of b. This value can be a whole number, a fraction, or a decimal. The y-intercept indicates the point where the line intersects the y-axis on a graph.