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RES 342 Week 5 E-Text Assignments

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

 !"#

 
Correlation Analysis Regression Analysis
(a) In correlation analysis, we calculate the
correlation coefficient which is a measure of the
degree of covariablity between X and Y
(b) Correlation is merely a tool to ascertain the degree
of relationship between X and Y. We can not assign
cause and effect relationship between X and Y
(a) Regression analysis is done to study the nature of
relationship between X and Y so that we may be able
to predict the value of one on the basis of the other
(b)In regression analysis we take X as the
independent variable and Y as the dependent variable.
This makes the study of cause and effect relation
between X and Y possible
(b) The correlation coefficient measures and reveals the degree of covariablity between X
and Y. It indicates the strength of relationship between X and Y.
(c) A correlation coefficient of ± 1 ⇒ a perfect positive/negative correlation between X
and Y. A zero coefficient ⇒ no correlation. Higher the value of r, stronger is the
correlation between X and Y.
(d) The sums needed are: ∑ xy, ∑ x^2 and ∑ y^2, where x = (X – Xbar) and y = (Y –
Ybar)
(e) The two methods are: (a) t- test and (b) Z- test.
12.48$%X &"%Y &!
%n &'()*+"# 
#
,"%-""!* α &
#.(#"$"/(
" "#0F &t1
"#

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 Y = 0.0343X + 30.7963
 Degrees of freedom = 34, t
crit
= t
34, 0.025
= 
 Since t for slope is larger than the critical value, the null hypothesis is rejected.
Therefore, the population slope is different from zero.
 We are 95% confident that the true population slope lies somewhere in between
0.0101 and 0.0584.
 t
2
=
2.889
2
= 
12.50 $%X &2%Y &
2%n &34# 
#
,"%-""!* α &
#.(#"$"/(
" "#0F &t1
"#

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(a) How does correlation analysis differ from regression analysis? (b) What does a correlation coefficient reveal? (c) State the quick rule for a significant correlation and explain its limitations. (d) What sums are needed to calculate a correlation coefficient? (e) What are the two ways of testing a correlation coefficient for significance Correlation Analysis Regression Analysis (a) In correlation analysis, we calculate the correlation coefficient which is a measure of the degree of covariablity between X and Y (b) Correlation is merely a tool to ascertain the degree of relationship between X and Y. We can not assign cause and effect relationship between X and Y (a) Regression analysis is done to study the nature of relationship between X and Y so that we may be able to predict the value of one on the basis of the other (b)In regression analysis we take X as the independent variable and Y as the dependent variable. This makes the study of cause and effect relation between X and Y possible (b) The correlation coefficient measures and reveals the degree of covariablity between X and Y. It indicates the strength of relationship between X and Y. (c) A correlation coefficient ...
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