Question

1. We know P(A) = 0.2. a) Find and interpret the odds against event A occurring. b) Find and interpret the odds for event A occurring. 2. Assume a simple logistic regression model for X and Y. We know: b0 = 2 and b1 = 0.3. a) Find the estimated logit function value when x = 4. b) Find and interpret the estimated odds that Y = 1 when x = 4. c) Estimate P(Y = 1) when x = 4. d) By what factor will the estimated odds that Y = 1 change when X increases from 4 to 5?

          1. We know P(A) = 0.2.
a) Find and interpret the odds against event A occurring.
b) Find and interpret the odds for event A occurring.
2. Assume a simple logistic regression model for X and Y. We know: b0 = 2 and b1 = 0.3.
a) Find the estimated logit function value when x = 4.
b) Find and interpret the estimated odds that Y = 1 when x = 4.
c) Estimate P(Y = 1) when x = 4.
d) By what factor will the estimated odds that Y = 1 change when X increases from 4 to 5?

1. We know P(A) = 0.2.
a) Find and interpret the odds against event A occurring.
b) Find and interpret the odds for event A occurring.
2. Assume a simple logistic regression model for X and Y. We know: b0 = 2 and b1 = 0.3.
a) Find the estimated logit function value when x = 4.
b) Find and interpret the estimated odds that Y = 1 when x = 4.
c) Estimate P(Y = 1) when x = 4.
d) By what factor will the estimated odds that Y = 1 change when X increases from 4 to 5?

Added by Jasmine P.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

Instant Answer

Solved by Expert Thuc Nguyen

06/10/2022

Step 1

Substituting P(A) = 0.2, we get Odds Against A = (1 - 0.2) / 0.2 = 0.8 / 0.2 = 4. Interpretation: The odds against event A occurring are 4, which means that for every 4 trials where event A occurs, there would be 1 trial where event A does not occur. ** Show more…

Show all steps

Thanks for your feedback!

We know P(A) = 0.2. a) Find and interpret the odds against event A occurring. b) Find and interpret the odds for event A occurring. 2. Assume a simple logistic regression model for X and Y. We know: b0 = 2 and b1 = 0.3. a) Find the estimated logit function value when x = 4. b) Find and interpret the estimated odds that Y = 1 when x = 4. c) Estimate P(Y = 1) when x = 4. d) By what factor will the estimated odds that Y = 1 change when X increases from 4 to 5?