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2nd Year Statistics Chapter 5 Test2nd Year · Statistics · Punjab (PTB)
Q1. Multiple choice questions (Attempt all · 10 × 1 = 10)
The formula for the regression coefficient of y on x is:
y is the ...... of two regression coefficients bxy and byx
If the movements of the variables X and Y are in the opposite direction, the correlation between X and Y is said to be:
The product of two regression coefficient will be:
The independent variable is also called the:
The regression coefficients b and d in the respective regression lines
and
are:
If
then
is:
The formula of r is given by:
In regression problem, the independent and dependent variables are:
Which of the following statements is true about the correlation coefficient r ?
Q2. Short questions (Attempt any 6 of 8 · 6 × 2 = 12)
Explain correlation and causation.
Determine the estimated regression equation
in the following case: n = 8,
.
Given n = 100,
and
. Calculate the regression lines of Y on X and of X on Y.
If a = 130, b = 3.956, then estimate y for X = 12.
Define the term 'linear regression'.
What is the range of coefficient of determination?
What is meant by regression?
Explain what is meant by regressand?
Q3. Long questions (Attempt any 2 of 3 · 2 × 4 = 8)
Find correlation coefficient for the following information.
, Sx = 7.73, Sy = 8.04, n = 10.
For a set of 8 pairs of observations we have
, Sx = Sy = 5 and
, compute correlation coefficient.
Given the following data: n = 10,
, sx = 3.5, sy = 7.2. Calculate regression lines.