0 votes
29.7k views
in Correlation and Regression Analysis by (49.2k points)
closed by

From the data given below:

Marks in Economics: 25 28 35 32 31
Marks in Statistics: 43 46 49 41 36
Marks in Economics: 36 29 38 34 32
Marks in Statistics: 32 31 30 33 39

Find 

(a) The two regression equations 

(b) The coefficient of correlation between marks in Economics and statistics 

(c) The most likely marks in Statistics when the marks in Economics is 30.

1 Answer

+1 vote
by (49.5k points)
selected by
 
Best answer

(a) Regression equation of X on Y.

Regression equation of Y on X.

(b) Coefficient of correlation r = \(\pm \sqrt{b_{xy}\times\,b_{yx}}\)

\(\sqrt{(-0.234)(-0.664)}\)

= -0.394 

(c) When X = 30, Y = ? 

Y = -0.664(30) + 59.248 

= -19.92 + 59.248 

= 39.328

Related questions

Welcome to Sarthaks eConnect: A unique platform where students can interact with teachers/experts/students to get solutions to their queries. Students (upto class 10+2) preparing for All Government Exams, CBSE Board Exam, ICSE Board Exam, State Board Exam, JEE (Mains+Advance) and NEET can ask questions from any subject and get quick answers by subject teachers/ experts/mentors/students.

...