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Sample Linear Regression MCQs

Sample Linear Regression MCQs cover how a straight-line relationship between two variables is estimated and interpreted, along with links to correlation and association of attributes. They help statistics students and lecturer, PPSC and UGC NET candidates. Each question has an instant answer, so you can check key properties of regression lines quickly.

Question 01 Sample Linear Regression

Through which point does the least squares regression line always pass?

Correct answer B. (x̄, ȳ)

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Question 02 Sample Linear Regression

Regression coefficients are ____ of change of origin. Which word fills the blank?

Correct answer A. Independent

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Question 03 Sample Linear Regression

How is the regression coefficient of y on x denoted?

Correct answer C. byx

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Question 04 Sample Linear Regression

Between which limits does the correlation coefficient lie?

Correct answer A. -1 ≤ r ≤ 1

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Question 05 Sample Linear Regression

Which of the following can never be the value of a correlation coefficient?

Correct answer D. √3

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Question 06 Sample Linear Regression

What is the correlation coefficient between x and y when y = −x?

Correct answer B. -1

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Question 07 Sample Linear Regression

The two regression coefficients always carry which kind of sign?

Correct answer C. Same

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Question 08 Sample Linear Regression

A regression model is called linear if it is linear in the dependent variable and also in the?

Correct answer A. Parameter

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Question 09 Sample Linear Regression

What is the y-intercept of the line y = 2 + 6x?

Correct answer A. 2

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Question 10 Sample Linear Regression

In correlation analysis, both variables are?

Correct answer C. Random

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Question 11 Sample Linear Regression

If x = 3 for every observation, what is the regression coefficient of x on y?

Correct answer A. 0

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Question 12 Sample Linear Regression

The correlation coefficient is which mean of the two regression coefficients?

Correct answer D. G.M.

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Question 13 Sample Linear Regression

The correlation coefficient is ____ of change of origin and unit of measurement. Which word fills the blank?

Correct answer D. Independence

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Question 14 Sample Linear Regression

In x = 2 − 6y, if y increases by one unit, what happens to x?

Correct answer B. Decreasing by 6

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Question 15 Sample Linear Regression

With respect to x and y, the correlation coefficient is?

Correct answer C. Symmetrical

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Question 16 Sample Linear Regression

If bxy = −0.8 and byx = 1.2, what is the value of r?

Correct answer D. None of these

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Question 17 Sample Linear Regression

If bxy = byx = r, which of the following holds?

Correct answer B. σx = σy

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Question 18 Sample Linear Regression

In an r × c contingency table used to test independence, how many degrees of freedom are there?

Correct answer A. (r -1) (c -1)

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Question 19 Sample Linear Regression

What is a table showing the classification of data by two attributes called?

Correct answer B. Contingency table

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Question 20 Sample Linear Regression

What is the division of a population into three classes called?

Correct answer A. Trichotomy

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About Sample Linear Regression MCQs

This Statistics topic deals with fitting a line of the form Y = a + bX by the method of least squares. Questions test properties that examiners like, such as the least squares line always passing through the point of means, the correlation coefficient being the geometric mean of the two regression coefficients, and the two regression lines coinciding when r is plus or minus one. You will also see the terms response and explanatory variable, plus a few items on association of attributes and contingency tables. These short property-based questions are common in statistics lecturer and subject specialist tests.

Exams that include Sample Linear Regression MCQs

Pakistan

PPSC
FPSC
Lecturer tests
NTS

India

UGC NET
State PSC exams
Campus placements

Bangladesh

BCS
University admission tests (DU, RU, JU)

Frequently asked questions

What is the relationship between correlation and regression coefficients?

The correlation coefficient r is the geometric mean of the two regression coefficients, so r squared equals byx multiplied by bxy. Both regression coefficients and r always share the same sign, and if one coefficient is greater than one, the other must be less than one.

Through which point does the least squares regression line pass?

The least squares regression line always passes through the point of means, written as (x bar, y bar). This is why the two regression lines, Y on X and X on Y, always intersect at the means of the two variables.

How many Sample Linear Regression MCQs are on MCQs360?

MCQs360 has 31 Sample Linear Regression MCQs, each with an instant answer. They are free and need no sign-up. Revise them together with the Correlation and Regression set to cover the property questions most statistics papers include.

Last reviewed October 2026