Question 7 If the LSRL relating the independent variable x and the dependent variable y for a given problem is ŷ = 2x + 5, then an increase of 1 unit in x is associated with an increase of how many units in y? %3D a) 07

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**Question 7**

If the LSRL relating the independent variable \(x\) and the dependent variable \(y\) for a given problem is \(\hat{y} = 2x + 5\), then an increase of 1 unit in \(x\) is associated with an increase of how many units in \(y\)?

a) 7  
b) 0  
c) 2  
d) 5  
e) 1  

**Explanation:**

The equation \(\hat{y} = 2x + 5\) represents the Least Squares Regression Line (LSRL). In this equation, the slope is 2, indicating that for every 1 unit increase in \(x\), \(y\) increases by 2 units.
Transcribed Image Text:**Question 7** If the LSRL relating the independent variable \(x\) and the dependent variable \(y\) for a given problem is \(\hat{y} = 2x + 5\), then an increase of 1 unit in \(x\) is associated with an increase of how many units in \(y\)? a) 7 b) 0 c) 2 d) 5 e) 1 **Explanation:** The equation \(\hat{y} = 2x + 5\) represents the Least Squares Regression Line (LSRL). In this equation, the slope is 2, indicating that for every 1 unit increase in \(x\), \(y\) increases by 2 units.
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