Introduction to Regression Analysis

Running Head: MGEC11H3S INTRODUCTION TO REGRESSION ANALYSIS
MGEC11H3S Introduction to Regression Analysis
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1MGEC11H3S INTRODUCTION TO REGRESSION ANALYSIS
Table of Contents
2019-03-22 Assignment Data BENEFITS.................................................................................2
Answer 1................................................................................................................................2
Answer 2................................................................................................................................2
Answer 3................................................................................................................................3
Answer 4................................................................................................................................3
Answer 5................................................................................................................................4
Answer 6................................................................................................................................4
Answer 7................................................................................................................................4
2019-03-22 Assignment Data BEAUTY...................................................................................5
Answer 8................................................................................................................................5
Answer 9................................................................................................................................5
Answer 10..............................................................................................................................5
Answer 11..............................................................................................................................6
Answer 12..............................................................................................................................6
Answer 13..............................................................................................................................6
Answer 14..............................................................................................................................6
Answer 15..............................................................................................................................7

2MGEC11H3S INTRODUCTION TO REGRESSION ANALYSIS
2019-03-22 Assignment Data BENEFITS
Answer 1
Regression Summary of lavgsal on bs
Regression Statistics
Multiple R 0.070
R Square 0.005
Adjusted R
Square 0.004
Standard
Error 0.232
Observations 1848
ANOVA
df SS MS F
Significanc
e F
Regression 1 0.496 0.496 9.182 0.002
Residual 1846 99.686 0.054
Total 1847 100.181
Coefficients
Standard
Error t Stat
P-
value Lower 95%
Upper
95%
Intercept 10.648 0.057 186.018 0.000 10.535 10.760
bs -0.503 0.166 -3.030 0.002 -0.829 -0.178
From the regression table, it can be seen that the p-value for the both sided alternative
is 0.002, which is the less than the level of significance (0.05), at which the test has been
conducted. Thus, H0 : βbs=0, has been rejected against the two sided alternative.
The p-value for the one sided alternative is 0.001, which is the less than the level of
significance (0.05), at which the test has been conducted. Thus, H0 : βbs=−1, has been
rejected against the alternative H0 : βbs>−1.
Answer 2
The variable “bs” has been transformed to log (bs) denoted by “lbs”. The range of the
values of “lbs” is 1.91 and the standard deviation of the values is 0.097. On the other hand,