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The graph and the Excel summary output below are about the weekend sales and tips at a certain Sonny's restaurant in Tallahassee, FL. Use them to answer the SONNY'S questions that follow. The data was gathered by Sonny's employee Joshua Gonzalez for his group project in my Summer 2007 STA 2122 class. SLRI SONNY'S SCATTERPLOT 250 225 200 D 175 •C 150 E 125 100 *F 75 50 A 25 100 200 300 400 500 600 700 800 900 1000 1100 1200 SALE AMOUNT ($) © 2020 Radha Bose Florida State University Department of Statistics SUMMARY OUTPUT SONNY'S Regression Statistics Multiple R 0.58064672 R Square 0.337150613 Adjusted R Square 0.325722175 Standard Error 28.73607083 Observations 60 TIP ($)

The graph and the Excel summary output below are about the weekend sales and tips at a certain Sonny's restaurant in Tallahassee, FL. Use them to answer the SONNY'S questions that follow. The data was gathered by Sonny's employee Joshua Gonzalez for his group project in my Summer 2007 STA 2122 class. SLRI SONNY'S SCATTERPLOT 250 225 200 D 175 •C 150 E 125 100 *F 75 50 A 25 100 200 300 400 500 600 700 800 900 1000 1100 1200 SALE AMOUNT ($) © 2020 Radha Bose Florida State University Department of Statistics SUMMARY OUTPUT SONNY'S Regression Statistics Multiple R 0.58064672 R Square 0.337150613 Adjusted R Square 0.325722175 Standard Error 28.73607083 Observations 60 TIP ($)

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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The points on the sample regression line will have coordinates

Group of answer choices
(sale amount, tip).
(sale amount, predicted tip).
(predicted sale amount, tip).
(sale amount, average tip).
(tip, average sale amount).
(average tip, sale amount).
(tip, predicted sale amount).
(tip, sale amount).
(predicted tip, sale amount).
(average sale amount, tip).
**Educational Analysis on Sales and Tips at Sonny’s Restaurant** **Background Information:** The data presented in this case study was gathered at a Sonny’s restaurant located in Tallahassee, FL. The data was collected by employee Joshua Gonzalez for a group project in a Summer 2007 STA 2122 class. It focuses on weekend sales and tips. **Scatterplot Analysis:** The scatterplot is titled "SLRI SONNY'S SCATTERPLOT" and shows the relationship between sale amounts in dollars and the corresponding tips, also in dollars. The scatterplot is divided into points labeled A through H, which are distributed across the graph. The x-axis represents the sale amount while the y-axis shows the tip amount. A trend line is also included, illustrating a positive correlation between the two variables. **Excel Summary Output:** The summary output provided underlines key regression statistics: - **Multiple R:** 0.58064672 - **R Square:** 0.337150613 - **Adjusted R Square:** 0.325722175 - **Standard Error:** 28.73607083 - **Observations:** 60 **Interpretation:** - **Multiple R (Correlation Coefficient):** This value of approximately 0.58 suggests a moderate positive relationship between sales and tips. - **R Square:** This is about 0.337, indicating that approximately 33.7% of the variability in tips can be explained by the sales amount. - **Adjusted R Square:** At 0.326, this adjusted figure accounts for the number of predictors in the model. It suggests the model explains approximately 32.6% of the variance. - **Standard Error:** The standard error of approximately 28.74 denotes the average distance that the observed values fall from the regression line. - **Observations:** A total of 60 observations were included in this analysis, providing a substantial dataset for analysis. These insights offer an understanding of the dynamics between sales and tips at Sonny's restaurant, providing a basis for further questions and analysis.
Transcribed Image Text:**Educational Analysis on Sales and Tips at Sonny’s Restaurant** **Background Information:** The data presented in this case study was gathered at a Sonny’s restaurant located in Tallahassee, FL. The data was collected by employee Joshua Gonzalez for a group project in a Summer 2007 STA 2122 class. It focuses on weekend sales and tips. **Scatterplot Analysis:** The scatterplot is titled "SLRI SONNY'S SCATTERPLOT" and shows the relationship between sale amounts in dollars and the corresponding tips, also in dollars. The scatterplot is divided into points labeled A through H, which are distributed across the graph. The x-axis represents the sale amount while the y-axis shows the tip amount. A trend line is also included, illustrating a positive correlation between the two variables. **Excel Summary Output:** The summary output provided underlines key regression statistics: - **Multiple R:** 0.58064672 - **R Square:** 0.337150613 - **Adjusted R Square:** 0.325722175 - **Standard Error:** 28.73607083 - **Observations:** 60 **Interpretation:** - **Multiple R (Correlation Coefficient):** This value of approximately 0.58 suggests a moderate positive relationship between sales and tips. - **R Square:** This is about 0.337, indicating that approximately 33.7% of the variability in tips can be explained by the sales amount. - **Adjusted R Square:** At 0.326, this adjusted figure accounts for the number of predictors in the model. It suggests the model explains approximately 32.6% of the variance. - **Standard Error:** The standard error of approximately 28.74 denotes the average distance that the observed values fall from the regression line. - **Observations:** A total of 60 observations were included in this analysis, providing a substantial dataset for analysis. These insights offer an understanding of the dynamics between sales and tips at Sonny's restaurant, providing a basis for further questions and analysis.
**ANOVA Table** | | df | SS | MS | F | Significance F | |---------------|----|-------------|-------------|------------|----------------| | Regression | 1 | 24360.81754 | 24360.81754 | 29.50102381| 1.15405E-06 | | Residual | 58 | 47894.18246 | 825.7617666 | | | | Total | 59 | 72255 | | | | **Coefficients Table** | | Coefficients | Standard Error | t Stat | P-value | Lower 95% | Upper 95% | |--------------|--------------|----------------|-------------|------------|-------------|-------------| | Intercept | 56.95659334 | 12.27319518 | 4.640730674 | 2.02919E-05| 32.38912416 | 81.52406252 | | Sale Amount | 0.126993685 | 0.023381027 | 5.431484494 | 1.15405E-06| 0.080191475 | 0.173795894 | © 2020 Radha Bose Florida State University Department of Statistics **Explanation:** This table provides the results of an Analysis of Variance (ANOVA) and regression analysis. - **ANOVA Table:** - The ANOVA table gives information about the variability of the data set. - The "Regression" row shows the variability explained by the regression model with a degree of freedom (df) of 1. - The "Residual" row shows the variability unexplained by the model (error) with 58 df. - "SS" represents the sum of squares, "MS" is the mean square (SS divided by df), "F" is the F-statistic, and "Significance F" indicates the p-value of the F-statistic. - **Coefficients Table:** - This table lists the regression coefficients and their statistics. - "Coefficients" indicates the weight of each predictor (constant term and Sale Amount). - "Standard Error" measures the average distance that the observed values fall from the regression line. - "t Stat" is the
Transcribed Image Text:**ANOVA Table** | | df | SS | MS | F | Significance F | |---------------|----|-------------|-------------|------------|----------------| | Regression | 1 | 24360.81754 | 24360.81754 | 29.50102381| 1.15405E-06 | | Residual | 58 | 47894.18246 | 825.7617666 | | | | Total | 59 | 72255 | | | | **Coefficients Table** | | Coefficients | Standard Error | t Stat | P-value | Lower 95% | Upper 95% | |--------------|--------------|----------------|-------------|------------|-------------|-------------| | Intercept | 56.95659334 | 12.27319518 | 4.640730674 | 2.02919E-05| 32.38912416 | 81.52406252 | | Sale Amount | 0.126993685 | 0.023381027 | 5.431484494 | 1.15405E-06| 0.080191475 | 0.173795894 | © 2020 Radha Bose Florida State University Department of Statistics **Explanation:** This table provides the results of an Analysis of Variance (ANOVA) and regression analysis. - **ANOVA Table:** - The ANOVA table gives information about the variability of the data set. - The "Regression" row shows the variability explained by the regression model with a degree of freedom (df) of 1. - The "Residual" row shows the variability unexplained by the model (error) with 58 df. - "SS" represents the sum of squares, "MS" is the mean square (SS divided by df), "F" is the F-statistic, and "Significance F" indicates the p-value of the F-statistic. - **Coefficients Table:** - This table lists the regression coefficients and their statistics. - "Coefficients" indicates the weight of each predictor (constant term and Sale Amount). - "Standard Error" measures the average distance that the observed values fall from the regression line. - "t Stat" is the
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