Question

Use the table to answer the question.

x
(Miles Run) y
(Weight)
10 130
1 200
3 167
5 145
8 135
The weight of a panther can be based on the number of miles they run a day. The line of best fit for this dataset is y=195−7.3x
. The table represents the scatter plot of data. Find the weight of a panther that runs 5 miles, and state whether it is underestimating or overestimating the value.(1 point)
Responses

145 and overestimating
145 and overestimating

145 and underestimating
145 and underestimating

158.5 and underestimating
158.5 and underestimating

158.5 and overestimating

Answer 1

To find the weight of a panther that runs 5 miles using the line of best fit given by the equation \( y = 195 - 7.3x \), we can substitute \( x = 5 \) into the equation.

\[
y = 195 - 7.3(5)
\]
\[
y = 195 - 36.5
\]
\[
y = 158.5
\]

Now, based on the table, the weight of a panther that runs 5 miles is given as 145 pounds.

To determine whether this value is an underestimation or overestimation, we compare the calculated weight (158.5) to the weight from the table (145):

- 158.5 is greater than 145, which means that the prediction from the line of best fit (158.5) is higher than what is observed in the table.

Thus, it is overestimating.

The correct answer is:
**158.5 and overestimating.**