Hurricane predictions. In Chapter 7 we looked at data from the National Oceanic and Atmospheric Administration about their success in predicting hurricane tracks. Here is a scatterplot of the error (in nautical miles) for predicting hurricane locations 72 hours in the future vs. the year in which the prediction (and the hurricane) occurred

a) Explain in words and numbers what the regression says.

b) State the hypothesis about the slope (both numerically and in words) that describes how hurricane prediction quality has changed.

c) Assuming that the assumptions for inference are satisfied, perform the hypothesis test and state your conclusion. Be sure to state it in terms of prediction errors and years.

d) Explain what the R-squared means in terms of this regression.