Correlation and regression m3

Subject:- applied mathematics 3 [M3]
Branch: mechanical engineering and automobile engineering and civil engineering.
University: Mumbai University.
File Size:- 1.5 mb
Format type:- PDF format.
Semester:- 4th sem
Author:-reha
Type:- notes


Contains/ syllabus are as follows..
Module. Correlation and regression.
Type 1. Karl Pearson's coefficient of correlation (r)
Q1. Find the coefficient of correlation between X and Y
Q2. Calculate the correlation from the following data.
Q3. Find the Pearson's coefficient for the following data.
Q4. The following marks have obtained by a class of students in statistics (table show in pdf) compute the coefficient of correlation for the above data.
Q5. Soil temperature X and germination interval Y for winter in 12 place are as follows find r.

Type 2. Spearman's rank correlation (R)
Q1. What is rank correlation? Obtain the rank correlation coefficient for the following data.
Q2. Calculate the value of rank correlation coefficient form the following data regarding the marks of 6 students in statistics and accountancy in a test( table form the pdf).
Type 3. Regression.
Q1. Obtain the line of regression bof cost on page from the following table giving the age of a car of certain make and the annual maintenance cost. Also find the maintenance cost of age of car is 9 years. (Table from pdf)
Q2. Obtain two lines of regression and coefficient of correlation from the table data. (Pdf)
Q3. State true or false with justification: if two line of regression are x+3y-5=0 and 4x+3y-8=0 then the correlation coefficient is +0.5..
Q4. The regression lines of a sample are x+6y=6 and 3x+2y=10 find.
a. Sample means
b. Coefficient of correlation between x and y when x=12.


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