Problem 4. You are curious whether there is any relationship between the total rainfall in a year, and the number of accidents that occur that year. You collect the following data over six years in your city: Accidents Annual rainfall (in) 0 26.3 1 34.1 5 23.2 15 19.0 70 27.9 342 31.0 (a) What are the dependent and independent variables in this case? (b) What is the best-fit linear regression model for this data? (c) What is the R value? Problem 5. Continue with the data from the previous problem. (a) If this year's rainfall turns out to be 1 inch more than last year, what difference do we expect to see in the number of accidents? (b) If it rains 30 inches this year, what is the probability that there will be more than 50 accidents? (c) Calculate the t score associated with your linear regression line. Can you claim a relationship between annual rainafl and accidents with 0.05 significance?