Please answer all

Question 1

For the question, you will need the SOSS_65 data set opened in either Tableau or Excel.

In this question, we will use the variables

Household Income Range

Region

NOTE: there are two variables for household income: household income group and household income range. These variables contain slightly different information - you want to use Household income range.

How many people in the SOSS_65 data set are from East Central Michigan and have an income range $50,000-59,999

_____________

Question 2

Suppose a shipping company has the following two variables about recent shipments:

Status: When did a shipment arrive (3 options: early, on time, or late)

Region: which region was the shipping destination (Region A or Region B)

We would like to know if the proportions of the three shipment statuses are different when comparing the two regions. What method(s) can we use?

	One Proportion Z-Test
	Pearson's Chi-Squared Test
	both of the above
	none of the above

Question 3

Suppose an actuary is interested in predicting the probability that a loan applicant will miss the first payment on their loan based on the loan amount.

We have the following variables:

MissedPayment: dummy variable with values 0 and 1, where 0 represents "did not miss the first payment" and 1 represents "did miss the first payment"

LoanAmount: beginning loan amount, measured in dollars.

Which of the following method would be more appropriate in this situation?

	logistic regression
	linear regression

Question 4

Suppose we wish to calculate the probability that a customer will churn. We have the following variables:

Churn: (values are 1 and 0: 1 for "yes" and 0 for "no").

X: quantitative independent variable

We use RStudio to compute the logistic regression model below:

Model <- glm(Churn ~ X, family="binomial")

summary(Model)

We obtain the coefficients below.

Variable	Estimate of coefficient	p-value
(intercept)	10	Less than 0.0001
X	-0.5	Less than 0.0001

When X = 20, the probability that a customer will churn equals ____ %.

(Rounding: use 3 or more decimal places for any intermediate calculation that includes decimal places.)

Question 5

Suppose we are interested in knowing what percentage of Michigan residents traveled at least 50 miles for the Thanksgiving weekend.

We gather information from a large sample of Michigan residents.

50 did travel at least 50 miles during Thanksgiving weekend.

200 did not travel at least 50 miles during Thanksgiving weekend.

Using this information (and assuming the individuals in the sample are representative of the overall Michigan population), then we can conclude that we are 95% confident that the proportion of Michigan residents who traveled at least 50 miles during the Thanksgiving weekend is between ________ . (Select the closest answer)

	21% and 30%
	18% and 22%
	15% and 25%
	19% and 32%