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SSC CGL Exam  >  SSC CGL Test  >  Statistics  >  Test: Correlation and Regression - SSC CGL MCQ

Correlation and Regression - Free MCQ Practice Test with solutions, SSC


MCQ Practice Test & Solutions: Test: Correlation and Regression (15 Questions)

You can prepare effectively for SSC CGL Statistics for SSC CGL with this dedicated MCQ Practice Test (available with solutions) on the important topic of "Test: Correlation and Regression". These 15 questions have been designed by the experts with the latest curriculum of SSC CGL 2026, to help you master the concept.

Test Highlights:

  • - Format: Multiple Choice Questions (MCQ)
  • - Duration: 15 minutes
  • - Number of Questions: 15

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Test: Correlation and Regression - Question 1
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Which one of the following statements about the correlation coefficient is correct?

Detailed Solution: Question 1

The correlation coefficient is indeed unaffected by the change of origin (translation). It measures the linear relationship between two variables and is independent of the units or scales in which the variables are measured. However, it's important to note that it is affected by changes of scale (multiplication).

Test: Correlation and Regression - Question 2
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Choose the correct option concerning the correlation analysis between 2 sets of data.

Detailed Solution: Question 2

A "simple correlation" is indeed a correlational analysis comparing two sets of data. It measures the degree of linear association between two variables.

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Test: Correlation and Regression - Question 3
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The slope of the regression line of Y on X is also referred to as the:

Detailed Solution: Question 3

The slope of the regression line of Y on X is often referred to as the "Regression coefficient of Y on X." It represents the change in the dependent variable Y for a one-unit change in the independent variable X.

Test: Correlation and Regression - Question 4
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Which of the assertions below is the least accurate?

Detailed Solution: Question 4

Option A is the least accurate. When outliers are present in the data series, correlation can be less reliable as it can be strongly influenced by outliers, leading to misleading interpretations. Correlation measures linear relationships and is sensitive to extreme values.

Test: Correlation and Regression - Question 5
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Choose the least likely assumption of a classic normal linear regression model?

Detailed Solution: Question 5

Option B is the least likely assumption. In a classic normal linear regression model, there is no requirement for the independent variable to be normally distributed. The normality assumption typically pertains to the residuals (errors) in the model.

Test: Correlation and Regression - Question 6
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Which one of the below statements regarding the regression line is correct?

Detailed Solution: Question 6

Option D is correct. All of the statements are correct. A regression line is also known as the "line of the average relationship," and it is used for prediction and estimation.

Test: Correlation and Regression - Question 7
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The correlation coefficient is?

Detailed Solution: Question 7

The correlation coefficient is the square root of the coefficient of determination (r-squared). It provides a measure of the strength and direction of the linear relationship between two variables.

Test: Correlation and Regression - Question 8
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The correlation for the values of two variables moving in the same direction is:

Detailed Solution: Question 8

When the values of two variables move in the same direction, there is a positive correlation between them. This means that as one variable increases, the other also tends to increase, resulting in a positive relationship.

Test: Correlation and Regression - Question 9
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Who suggested the mathematical approach for determining the magnitude of a linear relationship between two variables, such as X and Y?

Detailed Solution: Question 9

Karl Pearson is credited with suggesting the mathematical approach for determining the magnitude of a linear relationship between two variables, including the calculation of correlation coefficients.

Test: Correlation and Regression - Question 10
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Who introduced the term ‘regression’?

Detailed Solution: Question 10

Francis Galton introduced the term 'regression' in the context of regression analysis and linear regression models.

Test: Correlation and Regression - Question 11
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The correlation coefficient describes:

Detailed Solution: Question 11

The correlation coefficient describes both the magnitude and direction of the linear relationship between two variables. It provides information about the strength and direction of the association.

Test: Correlation and Regression - Question 12
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Which of the given statements concerning type two errors is correct?

Detailed Solution: Question 12

Option B is correct. Accepting an incorrect (false) hypothesis when it should have been rejected is referred to as a type two error in hypothesis testing. It is also known as a "false negative" error.

Test: Correlation and Regression - Question 13
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Which of the given plots is suitable for testing the linear relationship between a dependent and independent variable?

Detailed Solution: Question 13

A scatter plot is suitable for testing the linear relationship between a dependent and independent variable. It allows you to visually examine the relationship between two variables and identify patterns, including linearity.

Test: Correlation and Regression - Question 14
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Choose the method(s) that doesn’t have a closed-form solution for its coefficient?

Detailed Solution: Question 14

Lasso regression does not have a closed-form solution for its coefficients. It uses a regularization technique that can lead to some coefficients being exactly zero, which is why it lacks a closed-form solution.

Test: Correlation and Regression - Question 15
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The correlation for the values of two variables moving in the opposite direction is:

Detailed Solution: Question 15

When the values of two variables move in the opposite direction, there is a negative correlation between them. This means that as one variable increases, the other tends to decrease, resulting in a negative relationship.

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About this SSC CGL Practice Test

This test contains 15 MCQs on Correlation and Regression with detailed solutions for each question. It is part of the Statistics for SSC CGL course on EduRev, designed to align with the current SSC CGL syllabus. Each solution explains not just the correct answer but also gives you an understanding of the topic — not just to attempt the question but also help you prepare for the exam with practice.

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