Consider the values for the dependent and independent variables shown to the right a. Develop a scatter plot of the data. Does the plot suggest a linear or nonlinear relationship between the dependent and independent variables? b. Develop an estimated near regression equation for the data is the relationship significant? Test at ang 0,05 tovol o Develop a regression equation of the formy+b, In ). Does this equation provide a better fit to the data than that found in part b? 7 10 13 17 23 38993 a. Which scatter plot below shows the data? ОА 8 OD AY 40 OG AY 10+ 40 Q AY 404 30 . 30 30 30 20 20 20 . 20 9 B 10 5 10 10 0+ 10- o- 101 10 20 10 10 to 20 Does the plot suggest a inear or nonlinear relationship between the dependent and independent variables? O A. The plot suggests a nonlinear relationship because the data has a curved shape OB. The plot suggests a positive linear relationship because the y values increase as the x-values increase O C. The plot suggests a negative linear relationship because the y-values decrease as the x-values increase D. The plot suggests a nonlinear relationship because the y-values increase for some values and decrease for other X-value
CUID b. The linear regression equation in 9-0.0* (Round to three decimal places as needed) State the null and alternative hypotheses to tont to see if the relationship is significant The best statistic st=0 (Round to three decimal places as needed.) The p-value in (Round to three decimal places as needed.) What is the correct conclusion? evidence to conclude that there is a significant relationship the null hypothesis. At a 0.05 level of confidence there is c. The regression equation is 9-]+() in (*). (Round to three decimal places as needed.)
c. The regression equation is 9-0 (n() (Round to three decimal places as needed.) For the simple linear model found in part b, the correlation coefficient in and the standard error of the estimate is - (Round to three decimal places is needed) For the curvilinear model, the correlation coefficient is and the standard error of the estimates - (Round to three decimal places as needed) re Since the model has the greater correlation coefficient and the provides a better fit to the data model has the smaller standard error of the estimato, model
Consider the values for the dependent and independent variables shown to the right a. Develop a scatter plot of the data
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Consider the values for the dependent and independent variables shown to the right a. Develop a scatter plot of the data
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