Attempt any three questions. Q1. The regression line between height (X) in inches and weight (Y) in Ibs of male students are: 2y – 5x = 17 7x + 3y = 21 Determine which is regression of Y on X and X on Y. Obtain also correlation coefficient 'r'. 2. The following table gives the ages and blood pressure of 9 women. Age (X): 56 42 36 47 49 42 60 72 63 Blood Pressure(Y) 147 125 118 128 145 140 155 160 149 Find the correlation coefficient between X and Y. (i) Determine the least square regression equation of Y on X. 23. Find out the regression coefficients of Y on X and of X on Y on the basis of following data: Ex = 50, X = 5, ΣΥ-60, 60. F= 6, EXY = 350 Variance of X = 4, Variance of Y= 9 24. The equations of two regression lines between two variables are expressed as 2X- 3Y= 0 and 4Y– 5X-8 = 0. (i) Identify which of the two can be called regression line of Y on X and of X on Y. (ii) Find X and Y and correlation coefficient r from the equations
Correlation
Correlation defines a relationship between two independent variables. It tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.
Linear Correlation
A correlation is used to determine the relationships between numerical and categorical variables. In other words, it is an indicator of how things are connected to one another. The correlation analysis is the study of how variables are related.
Regression Analysis
Regression analysis is a statistical method in which it estimates the relationship between a dependent variable and one or more independent variable. In simple terms dependent variable is called as outcome variable and independent variable is called as predictors. Regression analysis is one of the methods to find the trends in data. The independent variable used in Regression analysis is named Predictor variable. It offers data of an associated dependent variable regarding a particular outcome.
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