Answered: Suppose i want to use weight as the…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

Suppose i want to use weight as the predictor variable for the Horseshoe crab data set in order to predict Y, the number of Satellites the female crab has. Use the following SAS produces the following parameter estimates for the Poisson regression model with a log link:

a) Estimate the mean of Y for female crabs of weight 2.25 kg.

b) Conduct a 95% confidence interval for the average number of satellites around a female weighting 2.25 kg.

c)Conduct a Wald Test of the hypothesis that the mean of Y is independent of weight. Please state the null and alternative hypothesis.

d)Conduct a likelihood-ratio test about the weight effect.

PFA

Pr > chi
Square
Parameter
DF
Estimate
Standard
Likelihood Ratio 95%
Wald Chi-
Error
Confidence Limits
Square
Intercept
1
-3.3458
0.5411
-4.2569
-2.2307
37.11
<.0001
Weight
1.
0.1635
0.0199
0.1250
0.2025
67.49
<.0001
Scale
1.0000
0.0000
1.0000
1.0000

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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