Listed below are amounts of bills for dinner and the amounts of the tips that were left. Construct a​ scatterplot, find the value of the linear correlation coefficient​ r, and find the​ P-value of r. Determine whether there is sufficient evidence to support a claim of linear correlation between the two variables. Use a significance level of alpha e quals 0.01 . If everyone were to tip with the same​ percentage, what should be the value of​ r?     a. The linear correlation coefficient is r equals ​(Round to three decimal places as​ needed.) b. The test statistic is t equals ​(Round to two decimal places as​ needed.)   c. The​ P-value is   ​(Round to three decimal places as​ needed.)

MATLAB: An Introduction with Applications
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Chapter1: Starting With Matlab
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Listed below are amounts of bills for dinner and the amounts of the tips that were left. Construct a​ scatterplot, find the value of the linear correlation coefficient​ r, and find the​ P-value of r. Determine whether there is sufficient evidence to support a claim of linear correlation between the two variables. Use a significance level of alpha e quals 0.01 . If everyone were to tip with the same​ percentage, what should be the value of​ r?

 

 

a. The linear correlation coefficient is r equals

​(Round to three decimal places as​ needed.)

b. The test statistic is t equals

​(Round to two decimal places as​ needed.)
 
c. The​ P-value is
 
​(Round to three decimal places as​ needed.)
 
**Table of Bills and Corresponding Tips**

This table displays a series of bills in dollars along with the corresponding tips. The data is useful for understanding tipping behavior in relation to bill amounts.

| **Bill (dollars)** | 33.44 | 53.45 | 87.46 | 89.25 | 60.34 | 109.78 |
|-------------------|-------|-------|-------|-------|-------|--------|
| **Tip (dollars)** | 6.55  | 10.40 | 15.65 | 16.21 | 7.10  | 12.58  |

- **Bill (dollars):** Represents the total amount of the bill before the tip.
- **Tip (dollars):** Represents the amount of money given as a tip.

This data can be analyzed to find the tipping percentage or to study patterns in tipping behavior.
Transcribed Image Text:**Table of Bills and Corresponding Tips** This table displays a series of bills in dollars along with the corresponding tips. The data is useful for understanding tipping behavior in relation to bill amounts. | **Bill (dollars)** | 33.44 | 53.45 | 87.46 | 89.25 | 60.34 | 109.78 | |-------------------|-------|-------|-------|-------|-------|--------| | **Tip (dollars)** | 6.55 | 10.40 | 15.65 | 16.21 | 7.10 | 12.58 | - **Bill (dollars):** Represents the total amount of the bill before the tip. - **Tip (dollars):** Represents the amount of money given as a tip. This data can be analyzed to find the tipping percentage or to study patterns in tipping behavior.
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