Question: Question 1: Estimate a logistic regression model where the Under Armour purchase depends on the customer's age. Please include the complete basic output (model summary)

Question 1: Estimate a logistic regression model where the Under Armour purchase depends on the customer's age. Please include the complete basic output (model summary) in your submission.

Hint:* If you set up and run the model correctly, you should a model AIC of 31.67 and 29 degrees of freedom for null deviance. The intercept term should be between 2 and 3.

Question 2: Do you believe that the age of a customer influences their brand choice? Please explain clearly how you arrived at your conclusion and which statistical tests you used.

Question 3: Calculate and interpret the odds ratio of age.

Question 4: Calculate the predicted probabilities of purchase for the youngest and oldest customers in the dataset. Use R code to find the youngest and oldest customers' ages. Hint:* One of the predicted probabilities is in the range 0.4 - 0.6 and the other is in the range 0.04 - 0.06.

Question 5: How does the brand preference (for Under Armour) of a 20-year-old differ from that of a 30-year-old customer? Provide numbers and explanations that a business manager can appreciate.

Write down the question solution in R.

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