The statistical software output for this problem is:
Hence,
a) SSE = 2.8
SST = 81.2
SSR = 78.4
b) Coefficient of determination = 0.966
Yes, this line provides a good fit.
c) Sample correlation coefficient = 0.9826
Check My Work (2 remaining) eBook Video Given are five observations for two variables, and y 4 78...
Given are five observations for two variables, and y. 1 2 3 5 Yi 3 7 5 11 14 The estimated regression equation for these data is ý = 0.2 +2.6z. a. Compute SSE, SST, and SSR using the following equations (to 1 decimal). SSE = Sy.- SST = = (y - SSR = = (y - SSE SST SSR b. Compute the coefficient of determination (to 3 decimals). Does this least squares line provide a good fit? Yes, the...
Given are five observations for two variables, z and y. 12 3 4 5 37 7 13 14 The estimated regression equation for these data is 0.4 +2.8. a. Compute SSE, SST, and SSR using the following equations (to 1 decimal). SST E(,- SSE SST SSR b. Compute the coefficient of determination 2 (to 3 decimals). Does this least squares line provide a good fit? No, the least squares line does not produce much of a fit c. Compute the...
Makeup for an Active Learning Activity with an excused absence E I MINDTAP Video eBook Given are five observations for two variables, z and y. 1 2 3 4 5 v 4 7 6 12 14 The estimated regression equation for these data is y 1.1+2.5x. a. Compute SSE, SST, and SSR using the following equations (to 1 decimal). SSE SST SSR b. Compute the coefficient of determination r2 (to 3 decimals). Does this least squares line provide a good...
Given are five observations for two variables, x and y. xi Yi 1 4 2 7 3 8 4 5 11 15 The estimated regression equation for these data is y = 1.2 + 2.6x. a. Compute SSE, SST, and SSR using the following equations (to 1 decimal). SSD = 2(y - ý) SST = 2(y; - 5)2 SSR = 2() - 12 SSE SST SSR b. Compute the coefficient of determination 2 (to 3 decimals). Does this least squares...
Given are five observations for two variables, x and y. xi 4 8 14 16 18 yi 58 52 45 24 11 The estimated regression equation for these data is y= 75.06 - 3.09x. A. Compute SSE, SST, and SSR using the following equations (to 2 decimal). B.Compute the coefficient of determination r2 (to 3 decimals). The least squares line provided an (good/bad) fit; ---------% of the variability in y has been explained by the estimated regression equation (to 1...
Given are five observations for two variables, x and y. 4 8 12 16 18 yi 58 51 48 14 15 The estimated regression equation for these data is y= 76.77 - 3.41x a. Compute SSE, SST, and SSR (to 2 SSE decimals) (to 2 SST decimals) (to 2 SSR decimals) b. Compute the coefficient of determination r. Comment on the goodness of fit (to 3 decimals) % of the variability in y has been explained by the estimated regression...
The data from exercise 1 follow.The estimated regression equation for these data is yˆ = .20 + 2.60x.Compute SSE, SST, and SSR using the following equations (14.8), (14.9), and (14.10) (to 1 decimal if necessary).SSESSTSSRCompute the coefficient of determination r2 (to 3 decimals).Does this least squares line provide a good fit?Compute the sample correlation coefficient (to 4 decimals).
Exercise 14.23 (Self-Test) ED eBook Video Given are five observations for two variables, I and y. N 1 2 3 4 5 3 7 5 11 14 The estimated regression equation is ý = 0.2 +2.62 a. Compute the mean square error using the following equation (to 3 decimals). s? = MSE = SSE n - 2 b. Compute the standard error of the estimate using the following equation (to 3 decimals). 3 = VMSE SSE In-2 c Compute the...
GAGE MINDTAP 6 Homework Video eBook Given are five observations for two variables, a and y. 5 1 2 3 4 12 14 3 6 The estimated regression equation is ý= 0.8+ 2.6z - using the following equation (to 3 decimals). a. Compute the mean square error SSE = MSE= n-2 b. Compute the standard error of the estimate using the following equation (to 3 decimals). SSE s=VMSE n-2 c. Compute the estimated standard deviation b using the following equation...
eBook Video In a regression analysis involving 30 observations, the following estimated regression equation was obtained. 17.6+3.8z-2.3z +7.6z, +2.7z For this estimated regression equation SST- 1805 and SSR- 1,764. a. At a 0.05, test the significance of the relashionship among the variables. SSE (to 1 decimal, if necessary) MSR (to 1 decimal, if necessary) MSE (to 2 decimal if necessary) What is the value of the F test statistic (to 1 decimal)? Use Table 4 in Appendix B. What is...