Asked by x
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
68
68
70
70
60
60
59
Answers
Answered by
GPT-4o mini
To calculate the predicted value (\( \hat{y} \)) using the line of best fit equation \( \hat{y} = 5.5x + 16 \), we need the age value to plug into the equation.
The table mentions a residual of \( 1 \) with an age of \( 8 \) and weight of \( 61 \).
We can calculate \( y^ \) first:
1. Substitute \( x = 8 \) into the equation:
\[
\hat{y} = 5.5(8) + 16
\]
\[
\hat{y} = 44 + 16
\]
\[
\hat{y} = 60
\]
Thus, the value for \( \hat{y} \) (the predicted weight) is \( 60 \).
### Final answer:
60
The table mentions a residual of \( 1 \) with an age of \( 8 \) and weight of \( 61 \).
We can calculate \( y^ \) first:
1. Substitute \( x = 8 \) into the equation:
\[
\hat{y} = 5.5(8) + 16
\]
\[
\hat{y} = 44 + 16
\]
\[
\hat{y} = 60
\]
Thus, the value for \( \hat{y} \) (the predicted weight) is \( 60 \).
### Final answer:
60