Relationship Between Age And Income - Logistics Regression - Multiple Regression Model - Business Analytics Assignment Help

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Assignment Task

 

1. Open excel sheet which is called worksheet “Q1” of the Excel file (provided for this assignment) and develop the following visualizations:
a. A figure showing whether there is a relationship between age and income.
b. A figure showing distribution of income.
c. A figure illustrating registration date and frequency of people who are registered.

 

2. The data presented in worksheet “Q3” is the results of a 4-year study conducted to assess how age, weight, and gender influence the risk of diabetes. Risk is interpreted as the probability (times 100) that the patient will have diabetes over the next 4-year period. What predictive model you suggest relating risk of diabetes to the person’s age, weight and the gender. Why? 

3. There are 500 client records in the worksheet “Q4” of the Excel file (provided for this assignment) who have shopped many special products from an e-Business website. Each record includes data on types of product purchased (between 1-5), purchase amount ($), age, gender, family size of the customer, whether the client has a membership and whether the customer has a discount card.
a) Develop a multiple regression model to predict the spend amount based on other variables in the data set. Write the final equation and interpret the coefficients of the model and explain the accuracy of the model?
b) What would be your recommendation to improve the accuracy of this model? What is your recommendation to improve the simplicity of the model?

 

4. Open the Excel worksheet Q8. In this data set there are 12 different observations. In the same data set x and y represent independent and dependent variables, respectively. Develop a regression model which best represents the data set. You can develop a linear or a polynomial regression model. However, you cannot exceed a degree 3 exponential regression model. In other words, your options are limited to degree 1, 2 and 3 regression models.
a. Developed scatter charts to degree 1, 2 and 3 regression models and based upon the scatter plot explain which model is better.
b. What are the potential advantageous and disadvantageous of using exponential regression models of degree 6 and 7 for this data set?
c. Develop a figure(s) or table (s) which can help you in the determining which regression model has high accuracy. Note: this figure should not be a scatter plot.

 

5. Matthew has a job as business analyst. He plans to invest 10 percent of his annual salary after the tax into a retirement account at the end of every year for the next 25 years. Suppose that annual return is 3, and his current salary before tax is 80k which grow 3% per year. The tax will apply as 15% on the salary up to 50k and it is 20% for the salary interval of 50k and 80k and the tax rate will be 25% for the remaining salary more than 80k (for example if his salary will be 105k, he is paying 15% tax on his first 50k and 20% in the next 30 k and 25% on his next 25k of his salary). then:

a) Create a spreadsheet which shows Matthew the balance of retirement account for various levels of annual investments and returns.
b) If the annual return rate is uncertain and it is between 5% to 9% in any given year (hint: use = =RANDBETWEEN(2,9)/100) what would be the expected value (average) of Matthew balance after 25 years (use the model 10 times then report the average).

 

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