1.6

(c) Develop a scatter diagram for the data. 45 45 45 40 40 40 35 35 35 30 30 30 25 25 25 20 20 20 15 15 15 10 10+ 10 5 5 5 X X 0 X 20 25 30 35 40 45 20 25 30 35 40 45 20 25 30 35 40 45 O y 45 40 35 30 25 20 15 10 5 O X 20 25 30 35 40 45 ODoes the scatter diagram suggest an estimated regression equation of the form 9 = bU + blx + blxz? Explain. O Yes, the scatter diagram suggests that a curvilinear relationship may be appropriate. O Yes, the scatter diagram suggests that a linear relationship may be appropriate. O No, the scatter diagram suggests that a curvilinear relationship may be appropriate. 0 No, the scatter diagram suggests that a linear relationship may be appropriate. (d) Develop an estimated regression equation for the data of the form )7 = b0 + blx + bzxz. (Round b0 to one decimal place and b1 to two decimal places and b2 to four decimal places.) y: (e) Use the results from part (d) to test for a signicant relationship between x, x2, and y. Use a: = 0.05. Is the relationship between x, x2, and y significant? Find the value of the test statistic. (Round your answer to two decimal places.) :1 Find the p-value. (Round your answer to three decimal places.) Is the relationship between x, X2, and ysignicant? O Yes, the relationship is significant. 0 No, the relationship is not significant. (f) Use the model from part (d) to predict the value of y when x = 25. (Round your answer to three decimal places.) [:1 A statistical program is recommended. Consider the following data for two variables, x and y. x22242 6 30 35 40 lm (a) Develop an estimated regression equation for the data of the form 3? = b0 + blx. (Round b0 to one decimal place and :5:1 to three decimal places.) )7: (b) Use the results from part (a) to test for a signicant relationship between x and y. Use a = 0.05. Find the value of the test statistic. (Round your answer to two decimal places.) Find the p-value. (Round your answer to three decimal places.) Is the relationship between x and y signicant? 0 Yes, the relationship is significant. 0 No, the relationship is not significant