Solve the regression equation. Will rank life saver.
$$ \begin{array}{c|ccccc} x_{i} & 2 & 6 & 9 & 13 & 20 \\ \hline y_{i} & 7 & 18 & 9 & 26 & 23 \end{array} $$
The estimated regression equation for these data is= 7.6 + .9x.
1)Compute SSE, SST, and SSR (to 1 decimal).
SSE =
SST =
SSR =
Homework Answers
We can use here Excel for the regression equation
Step 1) Enter data in Excel.
Step 2) Data >>Data analysis >>Regression >>Select y and x values separately >>Ok
| SSE = 127.3 SST = 281.2 SSR = 153.9 |
The data is given as follow. Excel File: data14-17.xlsx i 26 9 13 20 Vi718 9 26 23 The estimated regression equation for these data is y = 7.6 + .9z Compute SSE, SST, and SSR (to 1 decimal). 153.9 SS...
The data is given as follow. Excel File: data14-17.xlsx i 26 9 13 20 Vi718 9 26 23 The estimated regression equation for these data is y = 7.6 + .9z Compute SSE, SST, and SSR (to 1 decimal). 153.9 SSE SST 281.2 SSR 127.3
The data is given as follow. Excel File: data14-17.xlsx i 26 9 13 20 Vi718 9 26 23 The estimated regression equation for these data is y = 7.6 + .9z Compute SSE, SST, and...
The estimated regression equation for these data is?
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).
In a regression analysis involving 30 observations, the following estimated regression equation was obtained. = 17.6...
In a regression analysis involving 30 observations, the following estimated regression equation was obtained. = 17.6 +3.821 -2.3x2 + 7.603 + 2.724 For this estimated regression equation SST = 1805 and SSR = 1,756. 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 decimals, if necessary) What is the value of the F test statistic (to 1 decimal)? Use Table...
eBook Video In a regression analysis involving 30 observations, the following estimated regression equation was obtained....
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...
In a regression analysis involving 30 observations, the following estimated regression equation w...
In a regression analysis involving 30 observations, the following estimated regression equation was obtained. y=17.6+3.8x1-2.3x2+7.6x3+2.7x4 For this estimated regression equation SST= 1805 and SSR=1756. a. At a= 0.05 , test the significance of the relationship among the variables. SSE=_________________ (to 1 decimal, if necessary) MSR=________________ (to 1 decimal, if necessary) MSE=+_______________ (to 2 decimals, if necessary) What is the value of the F test statistic (to 1 decimal)? _______________ What is the p-value? - Select your answer -less than .01,between...
The following estimated regression equation based on 10 observations was presented. ŷ = 29.1220 + 0.5306x1...
The following estimated regression equation based on 10 observations was presented. ŷ = 29.1220 + 0.5306x1 + 0.4880x2 The values of SST and SSR are 6,714.125 and 6,219.375, respectively. (a) Find SSE. SSE = (b) Compute R2. (Round your answer to three decimal places.) R2 = (c) Compute Ra2. (Round your answer to three decimal places.) Ra2 =
Check My Work (2 remaining) eBook Video Given are five observations for two variables, and y 4 78...
Check My Work (2 remaining) eBook Video Given are five observations for two variables, and y 4 7813 15 The estimated regression equation for these data is-1+2.8z. a. Compute SSE, SST, and SSR using the following equations (to 1 decimal). (y,-y? SST SSE SST SSR b. Compute the coefficient of determination 2 (to 3 decimals) Does this least squares line provide a good fit? Select your answer C. Compute the sample correlation coefficient (to 4 decimals)
Check My Work (2...
Given are five observations for two variables, z and y. 12 3 4 5 37 7...
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...
Given are five observations for two variables, x and y. 4 8 12 16 18 yi...
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...
Use the table and the given regression equation to answer parts (a)-(e). y = - 1.50...
Use the table and the given regression equation to answer parts (a)-(e). y = - 1.50 a. Compute the three sums of squares, SST, SSR, and SSE, using the defining formulas. SSTEN (Type an integer or a decimal.) SSR=N (Type an integer or a decimal.) SSEN (Type an integer or a decimal.) b. Verify the regression identity, SST = SSR + SSE. Is this statement correct? O No O Yes c. Determine the value of the coefficient of determination. (Round...
The data is given as follow. Excel File: data14-17.xlsx i 26 9 13 20 Vi718 9 26 23 The estimated regression equation for these data is y = 7.6 + .9z Compute SSE, SST, and SSR (to 1 decimal). 153.9 SSE SST 281.2 SSR 127.3
The data is given as follow. Excel File: data14-17.xlsx i 26 9 13 20 Vi718 9 26 23 The estimated regression equation for these data is y = 7.6 + .9z Compute SSE, SST, and...
In a regression analysis involving 30 observations, the following estimated regression equation was obtained. = 17.6 +3.821 -2.3x2 + 7.603 + 2.724 For this estimated regression equation SST = 1805 and SSR = 1,756. 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 decimals, if necessary) What is the value of the F test statistic (to 1 decimal)? Use Table...
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...
Check My Work (2 remaining) eBook Video Given are five observations for two variables, and y 4 7813 15 The estimated regression equation for these data is-1+2.8z. a. Compute SSE, SST, and SSR using the following equations (to 1 decimal). (y,-y? SST SSE SST SSR b. Compute the coefficient of determination 2 (to 3 decimals) Does this least squares line provide a good fit? Select your answer C. Compute the sample correlation coefficient (to 4 decimals)
Check My Work (2...
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...
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...
Use the table and the given regression equation to answer parts (a)-(e). y = - 1.50 a. Compute the three sums of squares, SST, SSR, and SSE, using the defining formulas. SSTEN (Type an integer or a decimal.) SSR=N (Type an integer or a decimal.) SSEN (Type an integer or a decimal.) b. Verify the regression identity, SST = SSR + SSE. Is this statement correct? O No O Yes c. Determine the value of the coefficient of determination. (Round...
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