Week 8 Answers
1) For categorical data with ‘n’ categories, the number of dummy variables will be________
a) n
b) n-1
c) n+1
d) 2n
Answer: B
2) In estimation of regression parameters:
a) The likelihood function is a function of only 𝜎
b) The values of 𝛽0,….,𝛽n and 𝜎 should be such that, they maximize the likelihood function.
c) Both (a) and (b)
d) All of the above
Answer: B
3) In logistic regression, the null hypothesis tested is:
a) H0: β = 0
b) H0: β ≠ 0
c) H0: μ = 0
d) H0: μ ≠ 0
Answer: A
4) In logistic regression:
a) The graph doesn’t follow an S-shaped curve
b) The dependent variable is categorical
c) The estimated value of the dependent variable is not probability
d) None of the above
Answer: B
5) State true or false: G statistic is used to check the individual significance of the independent variables.
a) True
b) False
Answer: B
6) The maximum likelihood estimate for binomial distribution is p = ____
a) 0.1
b) 0.2
c) 0.3
d) None of the above
Answer: C
7) State True or False: The Method of Least Squares can be applied to models with any probability distribution.
a) True
b) False
Answer: B
8) Suppose you have been given a fair coin and you want to find out the odds of getting heads. Which of the following options is true for such a case?
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a) Odds will be 0
b) Odds will be 0.5
c) Odds will be 1
d) None of these
Answer: C
9) Large values of the log-likelihood statistic indicate:
a) That there are a greater number of explained vs. unexplained observations.
b) That the statistical model fits the data well.
c) That as the predictor variable increases, the likelihood of the outcome occurring decreases.
d) That the statistical model is a poor fit of the data.
Answer: B
10) The logit function (given as l(x)) is the log of odds function. What could be the range of the logit function in the domain x = [0,1]?
a) (– ∞ , ∞)
b) (0,1)
c) (0 , ∞)
d) (- ∞, 0)
Answer: A
