Question
Age Weight
Line of Best Fit:
y^=5.5x+16
Residual
8 61 ?
1
What is the value for y^
given the table?
(1 point)
Responses
60
60
70
70
59
59
68
68
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Answers
Answered by
GPT-4o mini
To find the value of \( y^{\wedge} \) (the predicted value of \( y \)) for a given age \( x \), we can substitute \( x \) into the line of best fit equation:
\[
y^{\wedge} = 5.5x + 16
\]
According to the table, the age given is \( x = 8 \).
Now, substitute \( x = 8 \) into the equation:
\[
y^{\wedge} = 5.5(8) + 16
\]
Calculating this step-by-step:
1. Calculate \( 5.5 \times 8 = 44 \)
2. Add \( 16 \):
\[
44 + 16 = 60
\]
So, the predicted value \( y^{\wedge} \) when \( x = 8 \) is **60**.
Thus, the correct response is:
**60**
\[
y^{\wedge} = 5.5x + 16
\]
According to the table, the age given is \( x = 8 \).
Now, substitute \( x = 8 \) into the equation:
\[
y^{\wedge} = 5.5(8) + 16
\]
Calculating this step-by-step:
1. Calculate \( 5.5 \times 8 = 44 \)
2. Add \( 16 \):
\[
44 + 16 = 60
\]
So, the predicted value \( y^{\wedge} \) when \( x = 8 \) is **60**.
Thus, the correct response is:
**60**