Question

15.

{Exercise 12.23 (Algorithmic)} Given are five observations for two variables, x and y. xi 1 2 3 4 5 yi 3 8 6 12 14 The estimated regression equation is ŷ = 0.8 + 2.6x. Compute the mean square error using the following equation (to 3 decimals). Compute the standard error of the estimate using the following equation (to 3 decimals). Compute the estimated standard deviation b1 using the following equation (to 3 decimals). Use the t test to test the following hypotheses (α = .05): Compute the value of the t test statistic (to 2 decimals). The p-value is Selectless than .01between .01 and .02between .02 and .05between .05 and .10between .10 and .20between .20 and .40greater than .40Item 5 What is your conclusion? SelectConclude a significant relationship exists between x and yCannot conclude a significant relationship exists between x and yItem 6 Use the F test to test the hypotheses in part (d) at a .05 level of significance. Complete the F table below. Calculate the Sum of Squares (to 1 decimal), the Mean Squares (to 3 decimals), and the F ratio (to 2 decimals). Source of Variation Degrees of Freedom Sum of Squares Mean Square F Regression Error Total What is the p-value? Select less than .01 between .01 and .025 between .025 and .05 between .05 and .10 greater than .10 What is your conclusion, based on this F test? Select Conclude a significant relationship exists between x and y Cannot conclude a significant relationship exists between x and y Item

Answer 1

given solutions ý -6-8 +261. % 20.8+2.64 3.4 x-x)2 492 0:16 - O 6.76 o.64 - ñ ar wn - 0.04 J Swe=10 (y})= = 11.6 3 6 8.6 4 12 11.2 5 14 13.8 sx 15 43 S 13 8.6 bo=0.8 bl=2:6 S56= 11:6-14-) a) 5= mSE ESSE naz = 1116 33.867 6) s= fm st = √3-86666 = 1.966 Shoe Verde E2 = 1906 = 6-622

T ای test startintic= B) SE(31) = 2.60 0:6218 = 4.1812 e) P-value = 0.0249 between 0.01 and 0.025 conclude that regression is significant source regresion of I ss 67.6 ms 67.6 f 17.48 3.867 Residual enor total 3 y 11.6 79.2 Rvalue ool and 0.025 conclude a significant relationship exists between xand y.