Report an appropriate hypothesis test for a positive linear relationship and use a 5% significance level.Explain the potential error in words, in context.In the answer options below I have used the phrase “a certain relationship” because I don’t want to give away exactly what type of relationship it is.Group of answer choicesWe would be accepting that there was a certain relationship between Sale amount and Tip when actually there wasn’t.We would not be accepting that there was a certain relationship between Sale amount and Tip when indeed there wasn’t.We would not be accepting that there was a certain relationship between Sale amount and Tip when actually there was.We would be accepting that there was a certain relationship between Sale amount and Tip when indeed there was. ### 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 |- **Analysis of Variance (ANOVA)**: This section displays the variance breakdown for the regression analysis. It includes degrees of freedom (df), sum of squares (SS), mean square (MS), F-statistic, and significance F.- **Regression**: Examines the effect of the independent variable (Sale Amount) on the dependent variable, focusing on variance due to the model.- **Residual**: Represents variance not explained by the model.- **Total**: Total variance in the data.- **Coefficients Analysis**: Provides the regression coefficients for the intercept and the independent variable (Sale Amount), along with their standard error, t-statistic, p-value, and confidence intervals.#### Source© 2020 Radha Bose Florida State University Department of Statistics **Sales and Tips Analysis at Sonny's Restaurant**The graph and the Excel summary output presented here illustrate the weekend sales and tips at a Sonny’s restaurant in Tallahassee, FL. This data can be used to address the accompanying questions.**Data Collection** This data was collected by Sonny’s employee Joshua Gonzalez as part of a group project for his Summer 2007 STA 2122 class.**Scatterplot Analysis**The scatterplot visualizes the relationship between sale amounts and the corresponding tips at Sonny's restaurant. The x-axis represents the sale amount in dollars ($), while the y-axis denotes the tip amount in dollars ($). Several data points are plotted, showing a general trend that is encapsulated by a linear regression line. Specific points labeled A through H illustrate particular data instances:- Each plotted point represents a unique sale-tip pair.- The line indicates a positive correlation, suggesting higher sales are generally associated with higher tips.**Summary Output**The regression statistics from the analysis are as follows:- **Multiple R**: 0.58064672, indicating the correlation coefficient between sales and tips.- **R Square**: 0.337150613, showing that approximately 33.7% of the variance in tips can be explained by the sales data.- **Adjusted R Square**: 0.325722175, providing a more adjusted view of the R Square metric, accounting for the number of predictors.- **Standard Error**: 28.73607083, describing the average distance that the observed values fall from the regression line.- **Observations**: 60, indicating the number of data points or sale-tip observations involved in the analysis.This analysis is © 2020 by Radha Bose, Florida State University Department of Statistics.

Name: Report an appropriate hypothesis test for a positive linear relationsh
Uploaded: 2024-03-20T07:07:37.000Z
Channel: Bartleby
Description: Report an appropriate hypothesis test for a positive linear relationship and use a 5% significance level.Explain the potential error in words, in context.In the answer options below I have used the phrase “a certain relationship” because I don’t want