AIOU Statistics II Code 395 Assignment 2 Solution Complete Assignment Guide

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00:23 Q.1(a) Describe the difference between correlation and regression. How do these statistical techniques differ in terms of their objectives, assumptions, and interpretation?
01:15 Q.1(b) What is scatter diagram? Describe its role in the theory of regression.
01:33 Q.2(a) Interpret the meaning when; r = - 1, r = 0, r = 1
01:51 Q.2(b) For 5 pairs of observations the following results are obtained ∑X = 15, ∑Y = 25, ∑X2=55, ∑Y2=135, ∑XY=83. Find the equation of the lines of regression and estimate the value of X on the first line when Y=12 and value of Y on the second line if X=8.
02:45 Q.3(a) Define chi-square distribution. Explain the terms positive and negative attributes.
02:59 Q.3(b) Describe the properties of least squares regression line.
03:20 Q.4(a) Define the coefficient of correlation and its properties.
03:39 Q.4(b) The following table shows the marks in English and History obtained by 10 students from a large group of students.

Marks in English x: 75 80 93 65 87 71 98 68 84 77
Marks in History y: 82 78 86 72 91 80 95 72 89 74
Estimate the linear regression functions considering.
i. X as independent variable
ii. Y as independent variable
04:25 Q.5(a) Explain the difference between the histogram and historigram.
04:55 Q.5(b) Define the following terms
i. Secular trend ii. Seasonal variations
iii. Cyclical fluctuations iv. Irregular movements

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