Posted: April 20th, 2022

Regression

By starting of this project, you affirm that you’ll not give or obtain any unauthorized Help, and that every one work can be your personal. You comply with abide by Seneca’s Educational Integrity Coverage, and also you perceive any violation of educational integrity can be topic to the penalties outlined within the coverage.

Downside 1 (35 % marks) File: MALL. XLS

A nationwide chain of girls’s clothes shops with places within the massive purchasing malls thinks that it could do a greater job of planning extra renovations and expansions if it understands what variables influence gross sales. It plans a small pilot research on shops in 25 completely different mall places. The information it collects encompass month-to-month gross sales, retailer measurement (sq. ft), variety of linear toes of window show, variety of opponents situated in mall, measurement of the mall (sq. ft), and distance to nearest competitor (ft).

1. Outline a a number of regression mannequin for the information. (6 marks) 2. Interpret the values of the coefficients within the mannequin. (15 marks) three. Check whether or not the mannequin as a complete is important. On the zero.05 degree of significance,

what’s your conclusion? (2 marks) four. Use the mannequin to foretell month-to-month gross sales for every of the shops within the research. (6

marks) 5. Discover and interpret the worth of 2 for this mannequin. (2 marks) 6. Check the person regression coefficients (i.e., examine the results of check statistics

that SAS or Excel supplies). On the zero.05 degree of significance, what are your conclusions? (2 marks)

7. When you had been going to drop only one variable from the mannequin, which one would you select? Why? (2 marks)

Downside 2 (35%) – File: Financial institution. xlsx

Neighborhood Financial institution wish to improve the variety of prospects who use payroll deposit. Administration is contemplating a brand new gross sales marketing campaign that may require every department supervisor to name every buyer who doesn’t presently use payoff direct deposit. As an incentive to enroll in payroll direct deposit, every buyer contacted can be provided free checking for 2 years. Due to the time and price related to the brand new marketing campaign, administration wish to focus their efforts on prospects who’ve the best likelihood of signing up for payroll direct deposit. Administration believes that the typical month-to-month stability in a buyer’s checking account could also be helpful predictor of whether or not the shopper will join direct payroll deposit. To analyze the connection between these two variables, Neighborhood Financial institution tried the brand new marketing campaign utilizing a pattern of 50 checking account prospects who don’t presently use payroll direct deposit. The pattern knowledge present the typical month-to-month checking account stability (in tons of of dollars) and whether or not the shopper contacted signed up for payroll direct deposit (coded 1 if the shopper signed up for payroll direct deposit and zero if not).

1. For the Neighborhood Financial institution knowledge, use SAS to formulate the estimated logistic regression equation. (5 marks)

2. Estimate the likelihood that prospects with a mean month-to-month stability of $1000 will join direct payroll deposit. (5 marks)

three. Suppose Neighborhood Financial institution solely desires to contact prospects who’ve a zero.50 or increased likelihood of signing up for direct payroll deposit. What’s the common month-to-month stability required to realize this degree of likelihood? (10 marks)

four. What’s the estimated odds ratio? What’s the interpretation? (15 marks)

Downside three (30%) – File: Lakeland. xlsx

Over the previous few years, the share of scholars who go away Lakeland School on the finish of the primary yr has elevated. Final yr Lakeland began a voluntary one-week orientation program to Help first-year college students regulate to campus life. If Lakeland can present that the orientation program has a constructive impact on retention, they are going to take into account making this system a requirement for all first-year college students. Lakeland’s administration additionally suspects that college students with decrease GPAs have a better likelihood of leaving Lakeland on the finish of the primary yr. To analyze the relation of those variables to retention, Lakeland chosen a random pattern of 100 college students from final yr’s coming into class. The information are contained within the knowledge set named Lakeland.

1. Write the logistic regression equation relating x to y. (5 mark) 2. For the Lakeland knowledge, use SAS to compute the estimated logistic regression

equation. (5 marks) three. Use the estimated logit computed above to estimate the likelihood that college students

with a 2.5 grade level common who didn’t attend the orientation program will return to Lakeland for his or her sophomore yr. What’s the estimated likelihood for college students with a 2.5 grade level common who attended the orientation program? (10 marks)

four. What’s the estimated odds ratio for the orientation program? Interpret it. (5 marks)

5. Would you suggest making the orientation program a required exercise? Why or why not? (5 marks)

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You agree that you’ll not give or obtain any unauthorized help and that every one work can be your personal once you start this project. You comply with comply with Seneca’s Educational Integrity Coverage and perceive that any violation of educational integrity will end result within the coverage’s penalties.

1st subject (35 p.c marks) MALL.XLS is a spreadsheet file.

A nationwide chain of girls’s clothes shops with places in massive purchasing malls believes that figuring out what components affect gross sales will Help it plan extra renovations and expansions. It intends to conduct a small pilot research in 25 completely different mall places. Month-to-month gross sales, retailer measurement (sq. toes), and the variety of linear toes of window are among the many knowledge it collects.

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