Question

A researcher investigating the relationship between the circumference of an elm tree (explanatory variable) and its age (response variable) gathered the following data from a random sample of elm trees:

Circumference (in.)	20	7	15	28	39	12	47	60
Age (yrs.)	6	2	4	8	11	3	13	16

a) Is the relationship between these variables statistically significant (at α = .05)? Justify.

b) Generate a 95% prediction interval for the age of an elm tree with a circumference of 20 inches. Would it be considered unusual for a 20 in. (circumference) tree to be 10 years old?

c) Conduct a residual plot analysis to determine whether a linear regression model form this data is appropriate for making predictions.

Answer 1

ANSWER

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