The following data on = soil depth (in centimeters) and y = percentage of montmorillonite in the soil were taken from a scatterplot in the paper

Bergen

Bergen

Answered question

2021-02-03

The following data on = soil depth (in centimeters) and y = percentage of montmorillonite in the soil were taken from a scatterplot in the paper "Ancient Maya Drained Field Agriculture: Its Possible Application Today in the New River Floodplain, Belize, C.A." (Agricultural Ecosystems and Environment [1984]: 67-84):
a. Draw a scatterplot of y versus x.
b. The equation of the least-squares line is 0.45x. Draw this line on your scatterplot. Do there appear to be any large residuals?
c. Compute the residuals, and construct a residual plot. Are there any unusual features in the plot?
x405060708090100y58343230282722
[y^=64.50].

Answer & Explanation

Isma Jimenez

Isma Jimenez

Skilled2021-02-04Added 84 answers

Step 1
a. x is on the horizontal axis and y is on the vertical axis.
image
Step 2
b. Yes. The first point (to the left) lies far away from the line and thus this point will have a large residual.
Step 3
c. The residual is the actual value decreased by the predicted value.
image
Result:
a. Scatterplot
b. Yes
c. Residuals are 11.5, -8, -5.5, -3, -0.5, 3, 2.5

Do you have a similar question?

Recalculate according to your conditions!

New Questions in High school statistics

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?