Fat and Cholesterol.A study is conducted with a group of dieters to see if the number of grams of fat each consumes per day is related to cholesterol level.The data are shown here.

Fat grams, x 6.8 6.5 8.2 10 8.6 9.1 8.6 10.4 Cholesterol level, y 183 175 193 283 222 250 190 260

Questions:

a)Draw a scatter plot of the data using your calculator.Based on the scatterplot, describe the relationship between the two variables.Use a complete sentence.

b) Compute the correlation coefficientr,using the calculator.Round to 3 decimal places.

c)Give the equation of the regression line. Round your numbers to 4 decimal places.

d) Interpret the slope of the regression line in the context of the problem.(Extra Credit)

e) Estimate the cholesterol level of a dieter who consumes 9.5 grams of fat per day.Round to the nearest whole number.Show your work or explain how you obtained your answer.