Report an appropriate hypothesis test for a positive linear relationship and use a 5% significance level.Which of the following is the correct P-value?Group of answer choices0.000002310.00002030.00004060.000001150.00001010.000000577 **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 presents the output from an ANOVA analysis in a simple linear regression study, examining the relationship between dependent and independent variables.- **ANOVA Table:** - **df:** Degrees of freedom associated with each source of variance. - **SS (Sum of Squares):** Measures the total variation in the response variable. - **MS (Mean Square):** Calculated as SS divided by the corresponding df. - **F:** Test statistic calculated as the ratio of MS Regression to MS Residual. - **Significance F:** p-value associated with the F statistic, testing the null hypothesis that the regression coefficient is zero.- **Coefficients Table:** - **Coefficients:** Estimated values for intercept and slope of the regression line. - **Standard Error:** The standard deviation of the estimated coefficients. - **t Stat:** Calculated by dividing the coefficient by its standard error. - **P-value:** Probability of observing the data 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 SCATTERPLOTThe scatterplot depicts the relationship between Sale Amount ($) and Tip ($). There are several data points, represented as dots, with labels A to H for specific points. A trend line is included, indicating a positive correlation between sales and tips.- The x-axis represents "Sale Amount ($)" ranging from 0 to 1200.- The y-axis represents "Tip ($)" ranging from 0 to 250.Key points labeled on the scatterplot:- Point B around (200, 125)- Point C around (300, 150)- Point D around (350, 175)- Point G around (1000, 200)- Point H around (1100, 210)The trend line shows that as the sale amount increases, the tip amount tends to also increase.---### SUMMARY OUTPUT#### SONNY’S**Regression Statistics**- Multiple R: 0.58064672- R Square: 0.337150613- Adjusted R Square: 0.325722175- Standard Error: 28.73607083- Observations: 60This summary provides statistical insights into the correlation between sales and tips. The R Square value indicates that approximately 33.71% of the variability in tips can be explained by sales. The Multiple R value indicates the strength and direction of the linear relationship. There are a total of 60 observations in this dataset.© 2020 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.Which of the following is the correct P-value?Group of answer choices0.000002310.00002030.00004060.000001150.00001010.000000577 **ANOVA Table:**|