GATE Production and Industrial Engineering Practice Quiz

Question 1

In a simple linear regression model Y = b0 + b1X fitted by least squares, which statement is always true for the estimated regression line?

Accepted Answer

It always passes through the point (x̄, ȳ)

Question 2

For n paired observations in simple linear regression, the least squares estimate of slope is

Accepted Answer

b1 = Σ(xi - x̄)(yi - ȳ) / Σ(xi - x̄)^2

Question 3

For n observations in simple linear regression with intercept, the unbiased estimator of error variance σ^2 is

Accepted Answer

SSE / (n - 2)

Question 4

In simple linear regression, if the predictor values are all identical, x1 = x2 = ... = xn, then least squares estimation of the slope

Accepted Answer

Is not defined because Sxx = 0

Question 5

For the data points (1,2), (2,3), (3,5), (4,4), the least squares estimate of slope is

Accepted Answer

0.8