Question

Use the table to answer the 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

59
59

70
70

68

Answer 1

To find the value of \( \hat{y} \) (the predicted weight) for the given age using the line of best fit, we will substitute the age \( x \) into the equation of the line of best fit \( \hat{y} = 5.5x + 16 \).

Given:
- Age (x) = 8

Now, we substitute \( x \) into the equation:

\[
\hat{y} = 5.5(8) + 16
\]
\[
\hat{y} = 44 + 16
\]
\[
\hat{y} = 60
\]

So, the predicted value \( \hat{y} \) is **60**.

Therefore, the answer is:

**60**