Homework Answers
Answer :The coeeficient of determination is given by
R2 = SSR/SST
SST=SSR+SSE
Here SSR = 21.4263 (Sum of Squares due to the regressor i.e Hoursplaying)
SSE = 1.9935 (Sum of Squares due to error)
SST = 21.4263+1.9935 = 23.4198
R2 = SSR/SST = 21.4263 / 23.4198 = 0.91488
R2 = 91.488 % = 91.5%
The coefficient of determination represents the proportion (or percentage) of variation in the dependent variable that is explained by the linear regression model.
Final answer :
| About 91.5%of the variation of GPA can be explained by Regression model. |
Hope this helps.
Add Answer to:
2c. I have to split this question into 2 parts because of the way Canvas works....
The data from the sample were used to produce the following computer output (using R software):...
The data from the sample were used to produce the following computer output (using R software): mean sd n GPA 2.6923 0.8300 35 Hours Playing 11.0429 5.3322 35 Coefficients: Std Error t value Prob Estimate 4.3363 -0.1489 0.0967 (Intercept) HoursPlaying 0.0000 44.84 -18.85 0.0079 0.0000 Analysis of Variance Table Response: GPA DF Mean Sq F value Prob 1 Sum Sa 21.4263 1.9935 21.4263 354.69 HoursPlaying Residuals 0.0000 33 0.0604 2e. One of the students in the study reported playing video...
The data from the sample were used to produce the following computer output (using R software):...
The data from the sample were used to produce the following computer output (using R software): mean sd n 2.6923 0.8300 35 GPA Hours Playing 11.0429 5.3322 35 Coefficients: Std Error t value Prob Estimate 4.3363 -0.1489 0.0967 44.84 (Intercept) HoursPlaying 0.0000 0.0079 -18.85 0.0000 Analysis of Variance Table Response: GPA DF F value Prob 1 Sum Sa 21.4263 1.9935 Mean Sq 21.4263 0.0604 HoursPlaying Residuals 354.69 0.0000 33 2b. Calculate the correlation between GPA and the amount of time...
The data from the sample were used to produce the following computer output (using R software):...
The data from the sample were used to produce the following computer output (using R software): mean sd n GPA 2.6923 0.8300 35 Hours Playing 11.0429 5.3322 35 Coefficients: Std Error t value Prob Estimate 4.3363 -0.1489 0.0967 (Intercept) HoursPlaying 0.0000 44.84 -18.85 0.0079 0.0000 Analysis of Variance Table Response: GPA DF Mean Sq F value Prob 1 Sum Sa 21.4263 1.9935 21.4263 354.69 HoursPlaying Residuals 0.0000 33 0.0604 2d. Identify the regression model generated from the sample data. Include...
The data from the sample were used to produce the following computer output (using R software):...
The data from the sample were used to produce the following computer output (using R software): mean sd n GPA 2.6923 0.8300 35 Hours Playing 11.0429 5.3322 35 Coefficients: Std Error t value Prob Estimate 4.3363 -0.1489 0.0967 (Intercept) HoursPlaying 0.0000 44.84 -18.85 0.0079 0.0000 Analysis of Variance Table Response: GPA DF Mean Sq F value Prob 1 Sum Sa 21.4263 1.9935 21.4263 354.69 HoursPlaying Residuals 0.0000 33 0.0604 28. The researcher wanted to test if it makes sense to...
The data from the sample were used to produce the following computer output (using R software):...
The data from the sample were used to produce the following computer output (using R software): mean sd n GPA 2.6923 0.8300 35 Hours Playing 11.0429 5.3322 35 Coefficients: Std Error t value Prob Estimate 4.3363 -0.1489 0.0967 (Intercept) HoursPlaying 0.0000 44.84 -18.85 0.0079 0.0000 Analysis of Variance Table Response: GPA DF Mean Sq F value Prob 1 Sum Sa 21.4263 1.9935 21.4263 354.69 HoursPlaying Residuals 0.0000 33 0.0604 28. The researcher wanted to test if it makes sense to...
2h. What is your decision regarding the hypothesis test? Use the information from the computer output...
2h. What is your decision regarding the hypothesis test? Use the information from the computer output and complete sentences in context to support your answer. Include the correct statistical notation. 12pt Paragraph BI U ALTv The data from the sample were used to produce the following computer output (using R software): mean sd n GPA 2.6923 0.8300 35 Hours Playing 11.0429 5.3322 35 Coefficients: Std Error t value Prob Estimate 4.3363 -0.1489 0.0967 (Intercept) HoursPlaying 0.0000 44.84 -18.85 0.0079 0.0000...
2f. Should we use the regression model in part d to predict the GPA for an...
2f. Should we use the regression model in part d to predict the GPA for an undergraduate who plays video games 27 hours per week? Clearly explain your answer in context using complete sentences. 12pt Paragraph BI U AX & Tev ... The data from the sample were used to produce the following computer output (using R software): mean sd n GPA 2.6923 0.8300 35 Hours Playing 11.0429 5.3322 35 Coefficients: Std Error t value Prob Estimate 4.3363 -0.1489 0.0967...
2b. Calculate the correlation between GPA and the amount of time spent playing computer games per...
2b. Calculate the correlation between GPA and the amount of time spent playing computer games per week. Write your answer as a decimal. 0.9565 Question 13 4 pts 2b. continued. How does your correlation confirm your description of the scatterplot (answer in 2a)? Clearly justify your answer using complete sentences. The data from the sample were used to produce the following computer output (using R software): mean sd n GPA 2.6923 0.8300 35 Hours Playing 11.0429 5.3322 35 Coefficients: Std...
The data from the sample were used to produce the following computer output (using R software): mean sd n GPA 2.6923 0.8300 35 Hours Playing 11.0429 5.3322 35 Coefficients: Std Error t value Prob Estimate 4.3363 -0.1489 0.0967 (Intercept) HoursPlaying 0.0000 44.84 -18.85 0.0079 0.0000 Analysis of Variance Table Response: GPA DF Mean Sq F value Prob 1 Sum Sa 21.4263 1.9935 21.4263 354.69 HoursPlaying Residuals 0.0000 33 0.0604 2e. One of the students in the study reported playing video...
The data from the sample were used to produce the following computer output (using R software): mean sd n 2.6923 0.8300 35 GPA Hours Playing 11.0429 5.3322 35 Coefficients: Std Error t value Prob Estimate 4.3363 -0.1489 0.0967 44.84 (Intercept) HoursPlaying 0.0000 0.0079 -18.85 0.0000 Analysis of Variance Table Response: GPA DF F value Prob 1 Sum Sa 21.4263 1.9935 Mean Sq 21.4263 0.0604 HoursPlaying Residuals 354.69 0.0000 33 2b. Calculate the correlation between GPA and the amount of time...
The data from the sample were used to produce the following computer output (using R software): mean sd n GPA 2.6923 0.8300 35 Hours Playing 11.0429 5.3322 35 Coefficients: Std Error t value Prob Estimate 4.3363 -0.1489 0.0967 (Intercept) HoursPlaying 0.0000 44.84 -18.85 0.0079 0.0000 Analysis of Variance Table Response: GPA DF Mean Sq F value Prob 1 Sum Sa 21.4263 1.9935 21.4263 354.69 HoursPlaying Residuals 0.0000 33 0.0604 2d. Identify the regression model generated from the sample data. Include...
The data from the sample were used to produce the following computer output (using R software): mean sd n GPA 2.6923 0.8300 35 Hours Playing 11.0429 5.3322 35 Coefficients: Std Error t value Prob Estimate 4.3363 -0.1489 0.0967 (Intercept) HoursPlaying 0.0000 44.84 -18.85 0.0079 0.0000 Analysis of Variance Table Response: GPA DF Mean Sq F value Prob 1 Sum Sa 21.4263 1.9935 21.4263 354.69 HoursPlaying Residuals 0.0000 33 0.0604 28. The researcher wanted to test if it makes sense to...
The data from the sample were used to produce the following computer output (using R software): mean sd n GPA 2.6923 0.8300 35 Hours Playing 11.0429 5.3322 35 Coefficients: Std Error t value Prob Estimate 4.3363 -0.1489 0.0967 (Intercept) HoursPlaying 0.0000 44.84 -18.85 0.0079 0.0000 Analysis of Variance Table Response: GPA DF Mean Sq F value Prob 1 Sum Sa 21.4263 1.9935 21.4263 354.69 HoursPlaying Residuals 0.0000 33 0.0604 28. The researcher wanted to test if it makes sense to...
2h. What is your decision regarding the hypothesis test? Use the information from the computer output and complete sentences in context to support your answer. Include the correct statistical notation. 12pt Paragraph BI U ALTv The data from the sample were used to produce the following computer output (using R software): mean sd n GPA 2.6923 0.8300 35 Hours Playing 11.0429 5.3322 35 Coefficients: Std Error t value Prob Estimate 4.3363 -0.1489 0.0967 (Intercept) HoursPlaying 0.0000 44.84 -18.85 0.0079 0.0000...
2f. Should we use the regression model in part d to predict the GPA for an undergraduate who plays video games 27 hours per week? Clearly explain your answer in context using complete sentences. 12pt Paragraph BI U AX & Tev ... The data from the sample were used to produce the following computer output (using R software): mean sd n GPA 2.6923 0.8300 35 Hours Playing 11.0429 5.3322 35 Coefficients: Std Error t value Prob Estimate 4.3363 -0.1489 0.0967...
2b. Calculate the correlation between GPA and the amount of time spent playing computer games per week. Write your answer as a decimal. 0.9565 Question 13 4 pts 2b. continued. How does your correlation confirm your description of the scatterplot (answer in 2a)? Clearly justify your answer using complete sentences. The data from the sample were used to produce the following computer output (using R software): mean sd n GPA 2.6923 0.8300 35 Hours Playing 11.0429 5.3322 35 Coefficients: Std...
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