Interpret the slope and​ y-intercept, if appropriate.

First interpret the slope. Select the correct choice below​ and, if​ necessary, fill in the answer box to complete your choice.

A.

For every unit increase in commute​ time, the index score

fallsfalls

by

enter your response here​,

on average.

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

B.

For an index score of​ zero, the commute time is predicted to be

enter your response here

minutes.

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

C.

For every unit increase in index​ score, the commute time

fallsfalls

by

enter your response here​,

on average.

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

D.

For a commute time of zero​ minutes, the index score is predicted to be

enter your response here.

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

E.

It is not appropriate to interpret the slope.

To accurately interpret the slope and \( y \)-intercept in this scenario, it's important to understand the relationship between the variables (commute time and index score) described in the options.

### Interpretation of Slope:

To choose the correct option, we need to know how commute time and index score relate to each other. Let’s break down each option.

- **Option A** suggests that for every unit increase in commute time, the index score decreases by a certain amount.
- **Option B** discusses the interpretation of the \( y \)-intercept, where an index score of zero corresponds to a predicted commute time.
- **Option C** focuses on the relationship between the index score and the commute time, implying that for every unit increase in the index score, commute time decreases.
- **Option D** interprets the \( y \)-intercept by predicting the index score when the commute time is zero.
- **Option E** dismisses interpreting the slope entirely.

To proceed, I would need either the slope value or more specific information about the regression line from which to make these interpretations (such as whether it is positive or negative). Could you share more details or clarify which variable is dependent and which is independent in this case?

If you have the data, I can also help calculate and interpret these values.

Would you like to proceed with specific values for the slope and intercept? If yes, feel free to provide more information or upload any relevant data.

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**Related Questions:**
1. How is the slope of a regression line calculated?
2. What does a positive slope represent in a real-world scenario?
3. Why is the \( y \)-intercept important in regression analysis?
4. How can outliers affect the interpretation of slope and intercept?
5. When might it be inappropriate to interpret the slope?

**Tip:** In regression, the slope indicates the change in the dependent variable for each unit increase in the independent variable.

Interpret the slope and y-intercept, if appropriate. First, interpret the slope. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. For every unit increase in commute time, the index score falls by ______, on average. (Round to three decimal places as needed.) B. For an index score of zero, the commute time is predicted to be ______ minutes. (Round to three decimal places as needed.) C. For every unit increase in index score, the commute time falls by ______, on average. (Round to three decimal places as needed.) D. For a commute time of zero minutes, the index score is predicted to be ______. (Round to three decimal places as needed.) E. It is not appropriate to interpret the slope.

Learn how to interpret the slope and y-intercept in a linear regression scenario, including the relationship between commute time and index score. This problem focuses on key algebraic concepts such as slope-intercept form and is suitable for students in Grades 9-12.

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