In 1797, a researcher shot a gun with various amounts of gunpowder and measured the forces of the fired gunpowder (see Table 57).

Let y be the force (in newtons) of x milligrams of fired gunpowder.
a. Construct a scatterplot.
b. Find an equation of a regression model.
c. Describe the four characteristics of the association. Compute and interpret an appropriate correlation coefficient as part of your analysis.
d. What is the base b of your model = abx? What does it mean in this situation?
e. What is the coefficient a of the model = abx? What does it mean in this situation?

Transcribed Image Text:

Table 57 Amounts of Gunpowder and Forces Force (newtons) Gunpowder (milligrams) 65 194 324 454 583 713 842 972 1166 255 747 1838 2659 5081 7268 10,754 15,467 35,953