Which of the following regression equations could be depicted in the picture below? (Hint: Pay attention to your axes). mpg 35- 30- 25 20 15- 10- O mpgi mpgi O mpgi Ompgi — 2 = -3 = 37.29 5.34wti wt 30.445.34wti 30.44 + 5.34wti 37.29 + 5.34wti 5
Which of the following regression equations could be depicted in the picture below? (Hint: Pay attention to your axes). mpg 35- 30- 25 20 15- 10- O mpgi mpgi O mpgi Ompgi — 2 = -3 = 37.29 5.34wti wt 30.445.34wti 30.44 + 5.34wti 37.29 + 5.34wti 5
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:**Question:**
Which of the following regression equations could be depicted in the picture below? (Hint: Pay attention to your axes).
**Graph Description:**
The scatter plot displays 'mpg' (miles per gallon) on the y-axis ranging from 10 to 35, and 'wt' (weight) on the x-axis ranging approximately from 1.5 to 5.5. A red line represents the regression line passing through the data points. The scatter plot indicates a negative linear relationship between mpg and wt.
**Regression Equations Options:**
1. \( \hat{mpg}_i = 37.29 - 5.34wt_i \)
2. \( \hat{mpg}_i = 30.44 - 5.34wt_i \)
3. \( \hat{mpg}_i = 30.44 + 5.34wt_i \)
4. \( \hat{mpg}_i = 37.29 + 5.34wt_i \)
In interpreting the graph, notice that as the weight (wt) increases, the miles per gallon (mpg) decreases, indicating a negative slope. This observation suggests that the correct regression equation will have a negative coefficient for \( wt_i \).
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