Reference no: EM13920728
1) A study was conducted attempting to relate home ownership to family income. Twenty households were selected and family income was estimated, along with information concerning home ownership (y = 1 indicates yes and y = 0 indicates no). The data are shown below.
(a) Fit a logistic regression model to the response variable y. Use a simple linear regression model as the structure for the linear predictor.
(b) Is the logistic regression model in part (a) adequate?
(c) Provide an interpretation of the parameter 1 in this model.
2. A study was performed to investigate new automobile purchases. A sample of 20 families was selected. Each family was surveyed to determine the age of their oldest vehicle and their total family income. A follow-up survey was conducted six months later to determine if they had actually purchased a new vehicle during that time period(y = 1 indicates yes and y = 0 indicates no). The data from this study are shown in the following table.
(a) Fit a logistic regression model to the data.
(b) Is the logistic regression model in part (a) adequate?
(c) Interpret the model coecients 1 and 2.
(d) What is the estimated probability that a family with an income of $45,000 and a car that is ve years old will purchase a new vehicle in the next six months?
(e) Expand the linear predictor to include an interaction term. Is there any evidence that this term
is required in the model?
3. The World Health Organization de nes obesity in adults as having a body mass index (BMI) higher than 30. Of the 250 men in the study mentioned in Exercise 11-1, 23 are by this de nition obese. How good is waist (size in inches) as a predictor of obesity? A logistic regression model was t to the data log(p1 p) = 41:828 + 0:9864 waist; where p is the probability of being classi ed as obese.
(a) Does the probability of being classi ed as obese increase or decrease as a function of waist size? Explain.
(b) What is the estimated probability of being classi ed as obese for a man with waist size of 36 inches?
(c) What is the estimated probability of being classi ed as obese for a man with waist size of 42 inches?
(d) What is the estimated probability of being classi ed as obese for a man with waist size of 48 inches?
(e) Make a plot of the estimated probability of being classi ed as obese as a function of waist size.
|
Definition essay of loyalty and research concepts
: Need a definition essay of loyalty and identify and research five concepts, processes, terms, items, etc. that you do not fully understand. Write an extended definition of 100 words or more for each one, as if you were explaining it to someone els..
|
|
Assignment on hr management
: Imagine you are the HR manager at a company, and an employee came to you upset because she felt a male co-worker had sexually harassed her by repeatedly asking her out on dates even after she said "no." What would you do?
|
|
Supply chain and the purpose and value
: Write a 700- to 1,050-word paper that identifies each link in the supply chain and the purpose and value in each. For example, if the shoe industry were to be chosen, the supply chain might look something like:
|
|
Discuss the effect that such penalty will have on leadership
: Poorly performing employees in Japanese firms are sometimes punished. Discuss the effects that such a penalty will have on the leadership effectiveness of the punished employees.
|
|
Is the logistic regression model in part adequate
: (a) Fit a logistic regression model to the response variable y. Use a simple linear regression model as the structure for the linear predictor. (b) Is the logistic regression model in part (a) adequate?
|
|
Does globalization favor a leagile solution to supply chain
: What is meant by the term "Leagility" in reference to supply chain design? (Be sure to explain the relationship leagility has with the lean and agility paradigms).
|
|
Significant differences between england and america
: Crevecoeur writes about the significant differences between England and America. He enjoys the freedom and equality that America has, and England lacks. He states, " the rich and poor are not so far removed from each other as they are in Europe
|
|
Analyze the impact to the given environment
: Proposed legislation would required 48-hour notification to all neighbors. This legislation is labeled "environmentally friendly." Analyze the impact to the environment.
|
|
Good with a perfectly elastic demand
: Question 1 If a tax is imposed on a good with a perfectly elastic demand, the burden of the tax will be borne: Question 2 In a market where supply and demand are equally elastic, producers and consumers will share equally the burden of a tax becaus..
|