Orange trees ~ In the 1960s, a botanist was conducting a research on orange trees. He...

Orange trees ~ In the 1960s, a botanist was conducting a research on orange trees. He wanted to figure out the relationship between the growth of trees and their ages. The botanist gathered a random sample of 35 orange trees and recorded the circumference of the tree in mm and the age of the tree in days.
Circumference of tree is the X variable and Age of tree is the Y variable in this scenario. Give all answers to four decimals.

Variable	Average	Standard Deviation
Circumference (X)	114.5	56.5
Age (Y)	921	490

The correlation coefficient between the variables X and Y is r = 0.89.

What is the slope for the equation of the estimated regression line for predicting the Y variable?
What is the y-intercept for the equation of the estimated regression line for predicting the Y variable?
A tree called Amber has a circumference of 100 mm.

What is the estimated/predicted Age for the tree called Amber?

A second tree called "Burnt Amber" has a circumference of 140.9150 mm and is 959.6 days old.
The estimated/predicted Age for this tree is 1,000.0000 days based on the regression model.
What is the residual for the Burnt Amber's Age?
What is the R^2 value for this regression model?

Expert Solution

orchestra answered 1 year ago

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