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

Paper	Action	File Format
GATE Production and Industrial Engineering 2007
GATE Production and Industrial Engineering 2008
GATE Production and Industrial Engineering 2009
GATE Production and Industrial Engineering 2010
GATE Production and Industrial Engineering 2011
GATE Production and Industrial Engineering 2012
GATE Production and Industrial Engineering 2013
GATE Production and Industrial Engineering 2014
GATE Production and Industrial Engineering 2015
GATE Production and Industrial Engineering 2016
GATE Production and Industrial Engineering 2017
GATE Production and Industrial Engineering 2018
GATE Production and Industrial Engineering 2019
GATE Production and Industrial Engineering 2020
GATE Production and Industrial Engineering 2021
GATE Production and Industrial Engineering 2022
GATE Production and Industrial Engineering 2023
GATE Production and Industrial Engineering 2024