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WebAssign for Devore's Probability and Statistics for Engineering and the Sciences, 9th Edition [Instant Access], Single-Term
9th Edition
ISBN: 9780357893104
Author: Devore; Jay L.
Publisher: Cengage Learning US
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Chapter 12.2, Problem 12E
Refer back to the data in Exercise 4, in which y = ammonium concentration (mg/L) and x = transpiration (ml/h). Summary quantities include n = 13, Σxi = 303.7, Σyi = 52.8, Sxx = 1585.230769, Sv = −341.959231. and Syy = 77.270769.
- a. Obtain the equation of the estimated regression line and use it to calculate a point prediction of ammonium concentration for a future observation made when ammonium concentration is 25 ml/h.
- b. What happens if the estimated regression line is used to calculate a point estimate of true average concentration when transpiration is 45 ml/h? Why does it not make sense to calculate this point estimate?
- c. Calculate and interpret s.
- d. Do you think the simple linear regression model does a good job of explaining observed variation in concentration? Explain.
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7. In a 2011 article, M. Radelet and G. Pierce reported a logistic prediction equation
for the death penalty verdicts in North Carolina. Let Y denote whether a subject
convicted of murder received the death penalty (1=yes), for the defendant's race
h (h1, black; h = 2, white), victim's race i (i = 1, black; i = 2, white), and
number of additional factors j (j = 0, 1, 2). For the model
logit[P(Y = 1)] = a + ß₁₂ + By + B²²,
they reported = -5.26, D
â
BD
=
0, BD
=
0.17, BY = 0, BY
=
0.91, B = 0,
B = 2.02, B = 3.98.
(a) Estimate the probability of receiving the death penalty for the group most
likely to receive it. [4 pts]
(b) If, instead, parameters used constraints 3D = BY = 35 = 0, report the esti-
mates. [3 pts]
h
(c) If, instead, parameters used constraints Σ₁ = Σ₁ BY = Σ; B = 0, report
the estimates. [3 pts]
Hint the probabilities, odds and odds ratios do not change with constraints.
Solve please and thank you!
Solve please and thank you!
Chapter 12 Solutions
WebAssign for Devore's Probability and Statistics for Engineering and the Sciences, 9th Edition [Instant Access], Single-Term
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