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2 weeks ago
Carnivores A random sample of some of the heaviest carnivores on Earth was reviewed to determine if there is an association between the length (in meters) and weight (in kilograms) of these carnivores. Here are the scatterplot, the residuals plot, a histogram of the residuals, and the regression analysis of the data. Use this information to analyze the association between the length and weight of these carnivores.





a. Is there an association? Write appropriate hypotheses.
b. Are the assumptions for regression satisfied? Explain.
c. What do you conclude?
d. Create a 98% confidence interval for the true slope.
e. Explain in context what your interval means.
Textbook 

Stats: Modeling the World


Edition: 4th
Authors:
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Answer verified by a subject expert
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2 weeks ago
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a. H0: There is no association between the length and weight of these carnivores.
    HA: There is an association between the length and weight of these carnivores.
b. Conditions:
*Straight enough: There is no obvious bend in the scatterplot of the data or in the plot of residuals against predicted values.
*Independence: The residuals look random.
*Does the plot thicken?: The residuals plot shows no disturbing changes in the spread about the line.
*Nearly Normal: A histogram of the residuals does not deviate too much from being unimodal and symmetric.
c. The P-value is very small, so we reject the null hypothesis. There is strong evidence of an association between carnivore length and weight.
d. A 98% confidence interval for β1 is: β1 ± t*7 × SE(b1) = 485.21 ± 2.998(90.63) or (213.5, 756.9) kilograms.
e. We are 98% confident that the weight of a heavy carnivore will be higher, on average, between 213.5 and 756.9 kilograms for each additional meter in length.
This verified answer contains over 210 words.
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2 weeks ago
This helped my grade so much
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Perfect
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