As practiced by many in buying skirts or pants, they use the neckline to check if the waistline ofthe skirts or pants fits them. We would like to study this claim by using a random sample ofneckline and waistline of 15 people.The data collected are summarized as follows:Subject12 3451781691011 12 1314 15Neckline35 343845 38 33 38 42 4433 35 3133 35 30(cm)Waistline(cm) 83 6697 100 86 82 77 82 916293 5767 93 57Construct a scatter plot for the waistline and neckline using the data presentedWhat does the scatter plot tell you about the sign of the slope of the regression equation?(positive or negative)1-2. Estimate the regression line of neckline and waistline. Using the model, we wish toestimate the waistline given information about the neckline. Solve for the y intercept, aand the slope, b. Round off final answers to two decimal places.a =b =3-4. The regression equation is:Waistline'=neckline5. Using the regression equation/model for waistline in Number 3-4, estimate thewaistline if the neckline of a person is 37 cm. Round off final answer to two decimal places.6-8. Solve for the coefficient of determination, r2 (Express the answer in percentage form, r2x 100%; Round off final answers to two decimal places):E(y – 9)² :E(y – 9)² =9. Solve for the coefficient of nondetermination (Express the answer in percentage form;Round off final answer to two decimal places):10-11. Interpret the computed coefficient of determination and nondetermination of theregression model. Express the answers in percentage form; Round off final answers to twodecimal places.% of the variation of waistline is due to the variation of neckline;% is due to chance.12-13. Solve for the standard error of estimate, sest (Round off final answers to two decimalplaces):E(y – y)? =Sest =Does the regression model estimated conform with the scatter plot? (Yes or No or Cannot bedetermined)

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