(b) Interpret the vertical intercept in context. O The professor expects to drink about 13 additional cups of coffee for each complaint he gets. O The professor expects about 2 complaints if he doesn't have any coffee. O The professor expects about 13 complaints if he doesn't have any coffee. O The professor expects the number of complaints to decrease by about 2 for each additional cup of coffee he drinks. (c) Interpret the slope in context. O The professor expects about 13 complaints if he doesn't have any coffee. O The professor expects to drink about 13 additional cups of coffee for each complaint he gets. O The professor expects about 2 complaints if he doesn't have any coffee. O The professor expects the number of complaints to decrease by about 2 for each additional cup of coffee he drinks. (d) Use the regression equation to predict the number of people that will complain about his attitude if he drinks 6 cups of coffee. Round to the nearest person. (e) How many cups of coffee should he drink so that no one will complain about his attitude? Round to the nearest cup.

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**(b) Interpret the vertical intercept in context.**

- The professor expects to drink about 13 additional cups of coffee for each complaint he gets.
- The professor expects about 2 complaints if he doesn't have any coffee.
- The professor expects about 13 complaints if he doesn't have any coffee.
- The professor expects the number of complaints to decrease by about 2 for each additional cup of coffee he drinks.

**(c) Interpret the slope in context.**

- The professor expects about 13 complaints if he doesn't have any coffee.
- The professor expects to drink about 13 additional cups of coffee for each complaint he gets.
- The professor expects about 2 complaints if he doesn't have any coffee.
- The professor expects the number of complaints to decrease by about 2 for each additional cup of coffee he drinks.

**(d) Use the regression equation to predict the number of people that will complain about his attitude if he drinks 6 cups of coffee.**

[Text box for answer]  
*Round to the nearest person.*

**(e) How many cups of coffee should he drink so that no one will complain about his attitude?**

[Text box for answer]  
*Round to the nearest cup.*
Transcribed Image Text:**(b) Interpret the vertical intercept in context.** - The professor expects to drink about 13 additional cups of coffee for each complaint he gets. - The professor expects about 2 complaints if he doesn't have any coffee. - The professor expects about 13 complaints if he doesn't have any coffee. - The professor expects the number of complaints to decrease by about 2 for each additional cup of coffee he drinks. **(c) Interpret the slope in context.** - The professor expects about 13 complaints if he doesn't have any coffee. - The professor expects to drink about 13 additional cups of coffee for each complaint he gets. - The professor expects about 2 complaints if he doesn't have any coffee. - The professor expects the number of complaints to decrease by about 2 for each additional cup of coffee he drinks. **(d) Use the regression equation to predict the number of people that will complain about his attitude if he drinks 6 cups of coffee.** [Text box for answer] *Round to the nearest person.* **(e) How many cups of coffee should he drink so that no one will complain about his attitude?** [Text box for answer] *Round to the nearest cup.*
### Linear Regression Analysis of Coffee Consumption and Complaints

#### Dataset
The table below shows the relationship between the number of cups of coffee consumed (n) and the number of people who complain (P):

| Cups of coffee (n) | People (P) |
|------------------|-----------|
| 1                | 10        |
| 2                | 9         |
| 2                | 10        |
| 3                | 6         |
| 3                | 8         |
| 4                | 5         |
| 5                | 2         |
| 5                | 4         |

#### Instructions and Analysis
(a) **Use the Corr/Regression applet** to calculate the linear equation predicting the number of complaints, \( \hat{P} \), when the professor drinks \( n \) cups of coffee. Round your results to two decimal places. 

**Regression Equation:**
\[ \hat{P} = 12.79 + (-1.93)n \]

(b) **Interpret the Vertical Intercept in Context:**

- The options given for interpretation are:
  - The professor expects to drink about 13 additional cups of coffee for each complaint he gets.
  - The professor expects about 2 complaints if he doesn't have any coffee.
  - The professor expects about 13 complaints if he doesn't have any coffee.
  - The professor expects the number of complaints to decrease by about 2 for each additional cup of coffee he drinks.

The vertical intercept, 12.79, represents the expected number of complaints when no coffee is consumed.

#### Conclusion
Understanding the relationship between coffee consumption and complaints can help in predicting social interactions based on caffeine intake. The negative slope suggests that more coffee results in fewer complaints.
Transcribed Image Text:### Linear Regression Analysis of Coffee Consumption and Complaints #### Dataset The table below shows the relationship between the number of cups of coffee consumed (n) and the number of people who complain (P): | Cups of coffee (n) | People (P) | |------------------|-----------| | 1 | 10 | | 2 | 9 | | 2 | 10 | | 3 | 6 | | 3 | 8 | | 4 | 5 | | 5 | 2 | | 5 | 4 | #### Instructions and Analysis (a) **Use the Corr/Regression applet** to calculate the linear equation predicting the number of complaints, \( \hat{P} \), when the professor drinks \( n \) cups of coffee. Round your results to two decimal places. **Regression Equation:** \[ \hat{P} = 12.79 + (-1.93)n \] (b) **Interpret the Vertical Intercept in Context:** - The options given for interpretation are: - The professor expects to drink about 13 additional cups of coffee for each complaint he gets. - The professor expects about 2 complaints if he doesn't have any coffee. - The professor expects about 13 complaints if he doesn't have any coffee. - The professor expects the number of complaints to decrease by about 2 for each additional cup of coffee he drinks. The vertical intercept, 12.79, represents the expected number of complaints when no coffee is consumed. #### Conclusion Understanding the relationship between coffee consumption and complaints can help in predicting social interactions based on caffeine intake. The negative slope suggests that more coffee results in fewer complaints.
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