Carnivores a Random Sample of Some of the Heaviest Carnivores $=-668+485$

question 36

Essay

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.

The regression equation is
Weight $=-668+485$ Length
$\begin{array}{lrrrr}\text { Predictor } & \text { Coef } & \text { SE Coef } & \text { T } & \text { P } \\\text { Constant } & -668.3 & 232.8 & -2.87 & 0.024 \\\text { Length } & 485.21 & 90.63 & 5.35 & 0.001\end{array}$
$S=194.794 \quad R-S q=80.48 \quad R-S q(a d j)=77.68$




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.

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Definitions:

Nitrogen

A chemical element with symbol N and atomic number 7, it is a non-metallic gas that makes up 78% of the Earth's atmosphere by volume.

Formula

A symbolic representation of the composition of a compound, indicating the elements present and the ratio of atoms or ions.

Cyanate Ion

A negatively charged ion or anion with the formula OCN-, derived from cyanic acid.

Cyanide Ion

An anion with the formula CN−, known for its high toxicity, it can form various inorganic and organic compounds.