# 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 2021-02-03 Answered

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?
$\begin{array}{|cccccccc|}\hline x& 40& 50& 60& 70& 80& 90& 100\\ y& 58& 34& 32& 30& 28& 27& 22\\ \hline\end{array}$
$\left[\stackrel{^}{y}=64.50\right]$.

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## Expert Answer

Isma Jimenez
Answered 2021-02-04 Author has 84 answers

Step 1
a. x is on the horizontal axis and y is on the vertical axis.

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.

Result:
a. Scatterplot
b. Yes
c. Residuals are 11.5, -8, -5.5, -3, -0.5, 3, 2.5

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