An agricultural scientist planted alfalfa on several plots of land, identical except for

Chapter 7, Problem 11

(choose chapter or problem)

An agricultural scientist planted alfalfa on several plots of land, identical except for the soil pH. Following are the dry matter yields (in pounds per acre) for each plot.

Yield

1056

1833

1629

1852

1783

2647

2131

a. Construct a scatterplot of yield  versus . Verify that a linear model is appropriate.
b. Compute the least-squares line for predicting yield from
.
c. Compute the fitted value and the residual for each point.
d. If the
 is increased by , by how much would you predict the yield to increase or decrease?
e. Predict the yield for a
 of .
f. Can the least-squares line be used to predict the yield for a
 of  If so, predict the yield. If not, explain why not.
g. For what
 would you predict a yield of 1500 pounds per acre?

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