What does this regression model predict for the proof level of a whiskey that’s been aged 4 years?

On my honor, I pledge that throughout this exam I have not used Artificial Intelligence in any capacity. I also have not communicated with any individual or individuals, either online or in person in any manner related to this exam. I also have not used my phone or any other internet connected device outside of Honorlock’s exam setting during this exam process.   Type your name if you make this promise.

Questions 6 – 7 refer to the following scenario: The number of eggs in robin nests varies from nest to nest (of course). If X is the number of eggs in a randomly selected robin nest, then X has the following probability distribution:  

Two researchers (A and B) are testing the following hypotheses:

Suppose we select 100 navel oranges independently and randomly. What is the approximate probability that at least 61 of them have at least 13 grams of sugar?   Use only the approximation method we studied in class to answer this question.

What proportion of navel oranges have more than 10 grams of sugar?

Questions 4 – 5 refer to the following scenario: Students in a class take an exam. The amount of time that a randomly selected student in this class takes to finish the exam is given by random variable X, which has the following probability density function:

Based on the same sample, a 90% confidence interval would be 

What proportion of robin nests have more than 5 eggs?

One of the casks of whiskey in the data set was aged for 0.5 years and had a proof level of 104 proof. Which of the following represents the residual for this data value based on this model?