A First Course in Probability (10th Edition)
10th Edition
ISBN: 9780134753119
Author: Sheldon Ross
Publisher: PEARSON
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![**Your Turn: Data Set 4**
**Data Set:**
\[
\{(1, -2.5), (2, -4), (3, -5.5), (4, -6), (5, -6.5), (6, -8), (7, -8.5)\}
\]
1. **The regression line is:**
\[
y = \_\_\_ \_ \_ \_ \_ \_ \_ \_ \_ \_ \_ \_ \_ \_ \_ \_ \_ \_ \_ \_ \_ x
\]
2. **Based on the regression line, we would expect the value of the response variable to be \_\_\_ when the explanatory variable is 0.**
3. **For each increase of 1 in the explanatory variable, we can expect a(n) \_\_\_ \_ \_ \_ \_ \_ \_ \_ \_ \_ \_ \_ \_ \_ \_ \_ of \_\_\_ in the response variable.**
4. **If \( x = 2.5 \), the \( \hat{y} = \_\_\_ \). This is an example of \_\_\_ \_ \_ \_ \_ \_ \_ \_ \_ \_ \_ \_ \_ \_ \_ \_.**
5. **The correlation coefficient is \( r = \_\_\_ \).**
*(Round to the nearest hundredth.)*
[**Check**]](https://content.bartleby.com/qna-images/question/78837da4-1a47-446c-8d17-a4903584d246/00e14bcd-f0ce-43f8-8ea0-53b3dacdf374/8g1c4p_processed.jpeg)
Transcribed Image Text:**Your Turn: Data Set 4**
**Data Set:**
\[
\{(1, -2.5), (2, -4), (3, -5.5), (4, -6), (5, -6.5), (6, -8), (7, -8.5)\}
\]
1. **The regression line is:**
\[
y = \_\_\_ \_ \_ \_ \_ \_ \_ \_ \_ \_ \_ \_ \_ \_ \_ \_ \_ \_ \_ \_ \_ x
\]
2. **Based on the regression line, we would expect the value of the response variable to be \_\_\_ when the explanatory variable is 0.**
3. **For each increase of 1 in the explanatory variable, we can expect a(n) \_\_\_ \_ \_ \_ \_ \_ \_ \_ \_ \_ \_ \_ \_ \_ \_ \_ of \_\_\_ in the response variable.**
4. **If \( x = 2.5 \), the \( \hat{y} = \_\_\_ \). This is an example of \_\_\_ \_ \_ \_ \_ \_ \_ \_ \_ \_ \_ \_ \_ \_ \_ \_.**
5. **The correlation coefficient is \( r = \_\_\_ \).**
*(Round to the nearest hundredth.)*
[**Check**]
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