Suppose you have the following regression that was estimated using data from NHL.

• Playoff = 1 when the game is a playoff game, otherwise Playoff = 0
• Tom Wilson = 1 when Tom is participating, otherwise Tom = 0
• Age is the age of the player

Probability of getting injured = 0.2 + 0.001 Age + 0.05 Playoff + 0.2 Tom Wilson

1a) Based on the information below, what is the probability of Brandon Carlo getting injured in the following game? Show your calculation.

Brandon Carlo is 24 years old

This is not a playoff game

Tom Wilson is participating in the game

1b) If Tom Wilson got suspended before the game (he cannot participate in the game), how much will the probability of getting injured change for Brandon Carlo? Show your calculation. (Everything else is the same as Q1a)

Let's say the standard error for the estimate for Tom Wilson is 0.03. What is the 95% confidence interval for the estimate? Show your calculation.

Need Help with these. May I see a step-by-step on how to solve it. Thank you.