For monthly recordings since 1909, let B be the mean sea level at The Battery, New York, and let G be the mean sea level at Galveston, Texas, both in feet. For mean sea levels at The Battery between -1.5 and 0.9 feet, inclusive, a reasonable model is G = 1.43B + 0.46.
a. What is the slope? What does it mean in this situation?
b. What is the G-intercept? What does it mean in this situation?
c. Graph the model by hand.
d. Estimate the mean sea level at Galveston when the mean sea level at The Battery was 0.6 feet.
e. On the basis of the positive association between B and G, a student concludes that an increase in the mean sea level at The Battery will cause an increase in the mean sea level at Galveston. What would you tell the student?