Which of the following is the alternative hypothesis? Group of answer choices Ha: There is a linear relationship between Sale amount and Tip. Ha: There is a positive linear relationship between Sale amount and Tip. Ha: There is a negative linear relationship between Sale amount and Tip. Ha: There is no linear relationship between Sale amount and Tip.
Which of the following is the alternative hypothesis? Group of answer choices Ha: There is a linear relationship between Sale amount and Tip. Ha: There is a positive linear relationship between Sale amount and Tip. Ha: There is a negative linear relationship between Sale amount and Tip. Ha: There is no linear relationship between Sale amount and Tip.
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Report an appropriate hypothesis test for a positive linear relationship and use a 5% significance level.
Which of the following is the alternative hypothesis?
Group of answer choices
Ha: There is a linear relationship between Sale amount and Tip.
Ha: There is a positive linear relationship between Sale amount and Tip.
Ha: There is a negative linear relationship between Sale amount and Tip.
Ha: There is no linear relationship between Sale amount and Tip.

Transcribed Image Text:**Analysis of Sales and Tips at Sonny's Restaurant**
The following analysis involves a scatterplot and statistics that highlight the relationship between weekend sales and tips at Sonny's Restaurant in Tallahassee, FL.
**Dataset Overview:**
The dataset was collected by Joshua Gonzalez, an employee at Sonny's, for a group project in the Summer 2007 STA 2122 class.
### Scatterplot Description:
**Title:** SLRI SONNY'S SCATTERPLOT
- **Axes:**
- X-axis: Sale Amount ($), ranging from approximately 0 to 1200.
- Y-axis: Tip ($), ranging from approximately 0 to 250.
- **Data Points:**
- Several individual points represent different sales and their corresponding tips.
- A fitted line is present indicating the trend or relationship between sales and tips.
- Specific points are labeled from A to H, possibly indicating outliers or noteworthy observations.
### Summary Output:
**Regression Statistics:**
- **Multiple R:** 0.58064672
- **R Square (Coefficient of Determination):** 0.337150613
- **Adjusted R Square:** 0.325722175
- **Standard Error:** 28.73607083
- **Observations:** 60
**Interpretation:**
- The **R Square** value suggests that approximately 33.7% of the variation in tips can be explained by sales.
- A **Multiple R** of 0.58 indicates a moderate positive correlation between sales and tips.
- The **Standard Error** measures the average distance that the observed values fall from the regression line.
- The dataset comprises 60 observations, providing a moderate sample size for analysis.
This data is useful for understanding the financial dynamics at Sonny's and helps in addressing subsequent questions based on the analysis outcome.

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
| | 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:
- **ANOVA (Analysis of Variance) Table**: This table summarizes the variance analysis results. It shows the sum of squares (SS), mean squares (MS), F-statistic (F), and significance level (Significance F) for the regression and residual.
- **Regression row**: Indicates the variability explained by the model. The F-statistic value of 29.50102381 and the highly significant p-value (1.15405E-06) suggest the model is a good fit.
- **Residual row**: Represents the unexplained variability.
- **Coefficients**: This section provides the estimated coefficients for the model's intercept and the Sale Amount variable, along with their standard errors, t-statistics, p-values, and 95% confidence intervals. Notably, both coefficients are statistically significant.
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