Linear Regression

In practice, Line of best fit or regression line is found when _____________

• a) Sum of residuals (∑(Y – h(X))) is minimum

• b) Sum of the absolute value of residuals (∑|Y-h(X)|) is maximum

• c) Sum of the square of residuals ( ∑ (Y-h(X))2) is minimum

• d) Sum of the square of residuals ( ∑ (Y-h(X))2) is maximum

If Linear regression model perfectly fit i.e., train error is zero, then _____________________

• a) Test error is also always zero

• b) Test error is non zero

• c) Couldn’t comment on Test error

• d) Test error is equal to Train error

How many coefficients do you need to estimate in a simple linear regression model (One independent variable)?

• a) 1

• b) 2

• c) 3

• d) 4

In a simple linear regression model (One independent variable), If we change the input variable by 1 unit. How much output variable will change?

• a) by 1

• b) no change

• c) by intercept

• d) by its slope

In the mathematical Equation of Linear Regression Y = β1 + β2X + ϵ, (β1, β2) refers to __________

• a) (X-intercept, Slope)

• b) (Slope, X-Intercept)

• c) (Y-Intercept, Slope)

• d) (slope, Y-Intercept)