Assignment:
Assignments to complete :
? Reading: Anderson et al. (14th ed.)
? Multiple regression
? Non-parametric methods
? Reading: Field (5th ed.)
? The linear model (regression)
? Non-parametric models
Comprehensive Learning Assessment-
This assessment has two parts, for both parts, explain your work in detail and provide in-text citations.
1. Choose an affluent community and retrieve information about single family home listings from a real estate website. Retrieve needed information and perform the following tasks.
a. Please construct the descriptive statistics of the data before data analysis entailed in the following.
b. Develop a regression model in which living area is one independent variable, lot size is the other independent variable, and home price is the dependent variable. State the hypotheses on the coefficients, justify formulation of these hypotheses, and interpret the results. Use ? = .05. Include all phases of assessment of the model and do not forget to check multicollinearity.
c. Now include dummy variables in the model to reflect the effect of having a pool, and the effect of view. Repeat the steps mentioned in parts (a) and (b) for this case. Descriptive statistics in this case should be categorized by the values of the dummy variable. How different the model becomes when you include the effect of having a pool and view?
d. Provide a detailed description of how adding the pool as dummy variable impacts coefficient of determination.
e. Choose hypothetical living area and lot size to find the expected value - predicted listing price with and without a pool. Comment on your results.
1. Seasonal data on the number of fatal lightings in the US is given in Table 16.
a. Formulate a two sided and a one-sided hypothesis on homogeneity of the median of the number of fatal lightings across the two seasons, and describe why Mann-Whitney-Wilcoxon (MWW) test is suitable for this purpose.
b. Provide descriptive statistics of the data as it pertains to this situation (graphical presentation is also required), test both hypotheses mentioned in part a, explain your work in detail, and interpret the result (to get critical values for testing the hypotheses please refer to users.stat.ufl.edu/~winner/tables/wilcoxonmannwhitney%5B1%5D.pdf).
Use ? = .05 in testing all hypotheses.
Table
Annual Data on Frequencies of Lightings in Spring and Summer
|
Year
|
Spring
|
Summer
|
|
2017
|
4
|
12
|
|
2016
|
9
|
28
|
|
2015
|
17
|
11
|
|
2014
|
8
|
17
|
|
2013
|
8
|
15
|
|
2012
|
5
|
22
|
|
2011
|
6
|
19
|
|
2010
|
11
|
17
|
|
2009
|
15
|
18
|
|
2008
|
12
|
15
|