he regression equation is ***** Predictor Coef StDev t-ratio p-value Constant 1.7586 0.2525 6.9648 0.0000 AGE 0.2124 0.3175 * 0.5042 MIL -0.7527 0.3586 -2.0991 ** ENG 4.8124 0.6196 7.7664 Analysis of Variance 0.0000 Source DF SS MS F p Regression 3 413.1291 138.7097 *** 0.00 Error 50 457.7607 2.2888 Total 53 c) Fill in the missing values ‘*’, ‘**’, and ‘***’. d) Hence test whether ? is significant. Give reasons for your answer.
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.
The regression equation is *****
Predictor Coef StDev t-ratio p-value
Constant 1.7586 0.2525 6.9648 0.0000
AGE 0.2124 0.3175 * 0.5042
MIL -0.7527 0.3586 -2.0991 **
ENG 4.8124 0.6196 7.7664
Analysis of Variance
0.0000
Source DF SS MS F p
Regression 3 413.1291 138.7097 *** 0.00
Error 50 457.7607 2.2888
Total 53
c) Fill in the missing values ‘*’, ‘**’, and ‘***’.
d) Hence test whether ? is significant. Give reasons for your answer.
c)
* T-score for age is given by
t = 0.2124/0.3175 =0.66898
** p-value for MIL variable is given by
p = 0.0409
***Standard deviation for ENG variable is given by
SEeng = 4.8124/7.7664 =0.6196
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