1.A researcher investigates the relationship between pollution levels (CO, measured in ppm of CO) and distance from major intersections (DIST, straight line distance, measured in meters).Using 102 data points distributed throughout the city she finds a correlation ofr= -0.32.

a.Test the hypothesis that there is no correlation between pollution levels (CO) and distance from major intersections (DIST). Use a significance level of 0.05.Remember to follow all the steps and show your work (define the null and alternative hypothesis, calculate your statistic, find your critical value, decide whether to reject or not the null hypothesis).

b.Test the hypothesis that there is a negative relationship between pollution levels and distance from major intersections.Use a significance level of 0.05.Remember to follow all the steps and show your work (define the null and alternative hypothesis, calculate your statistic, find your critical value, decide whether to reject or not the null hypothesis).

c.When the researcher estimates a regression model of CO pollution levels as a function of distance (DIST) measured in meters to major intersections, she obtains the following result:CO = 12 - 0.005*DIST

i.What is the estimated CO pollution in the middle of an intersection (i.e. DIST=0)?

ii.What is the estimated CO pollution at a location that is 800 meters away from a major intersection?