Many properties in engineering and science can be analyzed by trying to fit a st

Question

Many properties in engineering and science can be analyzed by trying to fit a straight line which uses x as the independent variable and y as the dependent variable. Suppose you have an array of x values and a corresponding array of y values. Write the process to fit a straight line to the data. Using the scenario y = mx + b, where m is the slope and b is the y intercept, m can be calculated by the formula

(x * y - n (x * y))/((x)2 – n (x)2 ) where n is the number points and b is given by

(y – slope * x)/n
where n is again the number of points.

Explanation / Answer

It can be done using the y=mx+c line equation. We can find the slope of the line by two points.

Once two points are given

m= x2-x1/y2-y1.

Based on these two points slope can be calculated and equation of the line can be determined based on this.

y-y1/x-x1 = m which is the slope of the line calculated above.

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