Class 11 Economics - MP

Correlation

The chapter Correlation in Class 11 Economics introduces students to the statistical methods used to measure the relationship between two variables. Students learn how changes in one variable, such as price and demand, or income and consumption, affect another variable. The chapter covers types of correlation—positive and negative, linear and non-linear—and graphical as well as mathematical methods like Karl Pearson's coefficient and Spearman's rank difference method. Mastering this chapter is crucial for MPBSE board exams as it carries significant weightage with practical numerical problems and theoretical questions.

Start Learning Free

Key Concepts

Correlation

A statistical technique that describes and measures the degree of relationship between two or more variables.

Positive Correlation

A relationship where two variables move in the same direction; when one increases, the other also increases.

Negative Correlation

A relationship where two variables move in opposite directions; when one increases, the other decreases.

Scatter Diagram Method

A simple graphic method of studying correlation by plotting bivariate data on a graph paper.

Karl Pearson's Coefficient of Correlation

A mathematical method that gives a precise numerical value for the linear relationship between two variables, denoted by 'r'.

Spearman's Rank Correlation

A non-parametric method used to find the correlation between qualitative variables or ranks, denoted by 'R'.

Important Formulas

Karl Pearson's Coefficient (r) = Sigma(X - X_mean)(Y - Y_mean) / sqrt(Sigma(X - X_mean)^2 * Sigma(Y - Y_mean)^2)
Spearman's Rank Correlation (R) = 1 - (6 * Sigma(D^2) / (N^3 - N))
Probable Error (P.E.) = 0.6745 * (1 - r^2) / sqrt(N)

Board Exam Info

In the Madhya Pradesh (MPBSE) Class 11 Economics board-level exams, the Correlation chapter typically carries around 6 to 8 marks. Questions generally include a mix of 1-mark objective questions, short-answer definitions, and a 4-mark numerical problem based on Karl Pearson or Spearman's rank method.

Frequently Asked Questions

What is the difference between correlation and causation?

Correlation simply means two variables move together, but it does not prove that one variable causes the change in the other.

What is the range of the correlation coefficient (r)?

The value of the correlation coefficient always lies between -1 and +1 inclusive.

When should we use Spearman's rank correlation instead of Karl Pearson's method?

Spearman's rank correlation is used when data is qualitative (like beauty, honesty, or intelligence) or when actual data values are replaced by ranks.

Learn Correlation with Your AI Tutor

10 different ways to study this chapter. Free for 3 chapters per day.

Lecture

Key Points

Interactive

Quiz

Flashcards

Start Learning Free

More Economics Chapters - MP Class 11