Five human subjects were injected with various concentrations of LSD, and with each concentration they solved as many simple arithmetic problems that they could in three minutes. Their work was recorded as the percentage of the number of problems they could do before being injected with LSD. The LSD concentrations and the test percentages are shown in Table 24.

Let p be the mean test percentage when the LSD concentration was c nanograms per milliliter of plasma.
a. Construct a scatterplot.
b. Find an equation of a linear model.
c. What is the slope? What does it mean in this situation?
d. What is the p-intercept? What does it mean in this situation? Has model breakdown occurred? Explain.
e. Describe the control group in this experiment.

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Table 24 LSD Concentrations and Test Percents LSD Concentration (nanograms per milliliter of plasma) 1.17 2.97 3.26 4.69 5.83 6.00 6.41 Mean Test Percent 78.93 58.20 67 47 7.47 45.65 32.92 29.97