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Linear Regression Calculator
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A linear regression is a statistical analysis for evaluating the point of contact between two variables. Linear Regression Calculator calculates the linear regression Equation between two given variables.

Linear Regression Definition:
The linear regression is the approach for modelling the relationship with the straight lines in-between the variables through the observed data of linear equation. The linear regression is similar to all the kinds of analysis in regression, it concentrates towards conditional probability distribution of the value 'y' for the given 'x' value rather than joint distributions of x and y, where they are the domain for multi-variate analyse. Between the 2 variables, the scalar y variable is known to be the variable of explanatory and the other n number of variable is denoted by x variable and it is considered as dependent variables.

Linear Regression Formula:
Regression Equation(y) = a + bx
Slope(b) = $\frac{(N\sum{xy} - (\sum{x})(\sum{y}))}{(N\sum{x^{2}} - (\sum{x})^{2})}$
Intercept(a) = $\frac{(\sum{y} - b(\sum{x}))}{N}$

where,
x and y are the given variables
b = Regression line slope
a = Intercept point between regression line and the y-axis
N = Total number of values
x = First data values
y = Second data values
$\sum{xy}$ = Sum of the product of first and second data values
$\sum{x}$ = Sum of first data values
$\sum{y}$ = Sum of second data values
$\sum{x^{2}}$ = Sum of square first data values.

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