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

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**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 \( wt_i \).
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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