Collinearity
a. Discuss the problems that result when collinearity is present
in a regression analysis.
b. How can you detect collinearity?
c. What remedial measures are available when collinearity is
detected?
Collinearity
Discuss the problems that result when collinearity is present in
a regression analysis.
How can you detect collinearity?
What remedial measures are available when collinearity is
detected?
Please explain what the term collinearity (or multicollinearity
in the multiple regression context) means. Does it affect our
regression estimates (i.e., betas) or their variances? If so,
please explain how? Does multicollinearity affect the chances of
making either a Type I or Type II error? If so, how
so?
1. What would the regression output (analysis) look like using
this multiple regression equation and the following data?
Daily Gross Revenue= total daily income+b1*daily tour
income+b2*number of tourists+b3*Friday+b4*Saturday
2. What's the multiple regression equation with the numbers from
the output?
Years
Weekend
Daily Tour Income
Number of Tourists
Daily Gross Revenue
Total Daily Income
1
Friday
3378
432
4838.95
8216.95
1
Saturday
1198
139
3487.78
4685.78
1
Sunday
3630
467
4371.3
8001.3
2
Friday
4550
546
6486.48
11036.48
2
Saturday...
1) What are the 2 variables in a Regression Analysis and what
are their levels of measurement?
2) What is the Chi-Square Goodness of Fit test and why would it
be applied to a data set?
Please explain the Significance F and the p-value of this
multiple regression.
Variable 1: Quantity of new domestic car sales
Variable 2: Federal funds rate
Outcome: Demand for money
Regression Statistics
Multiple R
0.978788301
R
Square
0.958026537
Adjusted R Square
0.957895165
Standard Error
107.4145035
Observations
642
ANOVA
df
SS
MS
F
Significance F
Regression
2
168278816.1
84139408.05
7292.452378
0
Residual
639
7372702.481
11537.87556
Total
641
175651518.6
Coefficients
Standard Error
t Stat
P-value
Lower 95%
Upper 95%
Lower 95.0%
Upper 95.0%...
How would you differentiate among multiple discriminant
analysis, regression analysis, logistic regression analysis, and
analysis of variance and demonstrate statistical significance for
each?
What are the SAS Coding and SAS Results for a multiple
regression analysis of the following data, where the price of the
house is the dependent variable?
House Price
Living Area
Bathrooms
Bedrooms
97739
1276
2
2
97783
1061
1
3
98423
1355
1
3
99045
937
1
2
99082
924
1
2
1. How are the p-value and test-statistic related?
2. What is meant by practical significance and statistical
significance?
3. Mathematically, what is the difference between doing a
one-sample or two-sample hypothesis test. You can use equations to
help you answer this question, but it is not required.
What is meant by the term significance? How is significance
level related to what you learned in previous chapters about
probability? Please provide an example using significance in your
work or life.
What is the main use of a one sample Z-Test? Please provide an
example.