Question
Question 9 \( \hat{y}=8+6 x \) Given \( x=6 \), compute \( \hat{y} \). \( \square \) Question 10
Ask by Carrillo Allan. in the United States
Feb 03,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
When \( x = 6 \), \( \hat{y} = 44 \).
Solution
**Question 9**
Given the equation:
\[
\hat{y} = 8 + 6x
\]
and \( x = 6 \), we can compute \( \hat{y} \) by substituting the value of \( x \) into the equation.
**Step-by-Step Solution:**
1. **Substitute \( x = 6 \) into the equation:**
\[
\hat{y} = 8 + 6(6)
\]
2. **Calculate the multiplication:**
\[
6 \times 6 = 36
\]
3. **Add the result to 8:**
\[
\hat{y} = 8 + 36 = 44
\]
**Answer:**
\[
\hat{y} = 44
\]
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**Question 10**
*Please provide the details for Question 10.*
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Simplify this solution Mind Expander
To compute \( \hat{y} \), simply substitute \( x=6 \) into the equation \( \hat{y}=8+6x \). So, you get \( \hat{y} = 8 + 6(6) = 8 + 36 = 44 \). Now you have \( \hat{y} = 44 \), which is the predicted value based on your linear equation. This equation represents a straight line on a graph, showcasing how changes in \( x \) affect \( \hat{y} \) in a fun way!
