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

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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
Transcribed Image Text: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
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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 likelihood-ratio test about the weight effect.

PFA

answer part  C only

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
Transcribed Image Text: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
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