Weight (x) Cost (y) 12 7 ROUOO 11 12 17 10 10 16 27 13 15 8 20 23 16 19 19 24 9 17 22 22 11 23 17 11 12 20A shipping company believes that the variation in the cost of a customer's shipment can be explained by differences in the weight of the package being shipped. To investigate whether this relationship is useful, a random sample of 20 customer shipments were selected, and the weight (in lb) and the cost (in dollars, rounded to the nearest dollar) for each shipment was recorded. Complete parts a through d. Click the icon to view the data table between the shipping weight and the shipping cost. a. Construct a scatterplot of the data. What, if any, relationship appears to exist between the two variables? Choose the correct scatterplot below. O B. O C. O D. 30- 30-1 20- Cost (5) Weight (Ib) Weight (1b) Cost ($) 20 30 30 Weight (1b) Cost ($) Cost ($) Weight (1b) What, if any, relationship appears to exist between the two variables? O A. A negative, linear relationship exists between x and y. O B. A positive, curvilinear relationship exists between x and y. C. A positive, linear relationship exists between x and y. O D. There is no relationship between x and y. b. Complete the linear regression model based on the sample data. Interpret the slope and intercept coefficients. What is the linear regression model based on the sample data? V = x (Type integers or decimals rounded to two decimal places as needed.)c. Test the significance of the overall regression model using a significance level equal to 0.10. What are the appropriate hypotheses to test? O A. Ho: p20 OB. Hop>0 O C. Hop 0 HA P= 0 Determine the rejection region for the test statistic t. Select the correct choice below and fill in any answer boxes to complete your choice. (Type integers or decimals rounded to three decimal places as needed.) OA to OB. to ort> O c. t> Calculate the simple linear regression test statistic t. (Type an integer or decimal rounded to three decimal places as needed.)b. Complete the linear regression model based on the sample data. Interpret the slope and intercept coefficients. What is the linear regression model based on the sample data? y = + ()x (Type integers or decimals rounded to two decimal places as needed.) Interpret the slope coefficient. Select the correct choice below and fill in the answer box to complete your choice. (Type an integer or decimal rounded to two decimal places as needed.) O A. For each additional dollar of shipping cost, the average increase in shipping weight is pounds B. For each additional pound of shipping weight, the average increase in shipping cost is $ Interpret the intercept coefficient. Select the correct choice below and fill in the answer box to complete your choice. (Type an integer or decimal rounded to two decimal places as needed.) O A. The weight of a package that costs $0 to ship is pounds. B. The cost of shipping a package that weighs 0 pounds is $