Question
Linear Models
use the tabe to answer me queston.
(Miles Run) (Weight in Pounds)
10
130
1
200
167
145
8
135
The weight of a cheetah can be based on the number of miles they run a day. The line
of best fit for this dataset is y = 1954- 7.3x. The table represents the scatter plot of
data. Find the weight of a cheetah that runs 7 miles, and state whether extrapolation or interpolation is occurring.
(1 point)
• 143.9 pounds and interpolation
• 130 pounds and extrapolation
• 130 pounds and interpolation
• 143.9 pounds and extrapolation
use the tabe to answer me queston.
(Miles Run) (Weight in Pounds)
10
130
1
200
167
145
8
135
The weight of a cheetah can be based on the number of miles they run a day. The line
of best fit for this dataset is y = 1954- 7.3x. The table represents the scatter plot of
data. Find the weight of a cheetah that runs 7 miles, and state whether extrapolation or interpolation is occurring.
(1 point)
• 143.9 pounds and interpolation
• 130 pounds and extrapolation
• 130 pounds and interpolation
• 143.9 pounds and extrapolation
Answers
GPT-4o mini
To find the weight of a cheetah that runs 7 miles using the line of best fit \( y = 1954 - 7.3x \), we substitute \( x = 7 \) into the equation.
\[
y = 1954 - 7.3(7)
\]
\[
y = 1954 - 51.1
\]
\[
y = 1902.9
\]
This calculation appears to be incorrect. Let's actually perform the math for \( x = 7 \):
\[
y = 1954 - 7.3(7) = 1954 - 51.1 = 1902.9
\]
Next, we need to analyze whether we're extrapolating or interpolating.
- **Extrapolation** occurs when we estimate a value outside the range of given data.
- **Interpolation** occurs when we estimate a value within the range of given data.
In the provided table, the number of miles run seems to range from 1 to 10 miles. Since 7 miles falls within this range, we are conducting interpolation.
Thus, the revised response for the question:
- The weight of a cheetah that runs 7 miles is approximately 1902.9 pounds, and the process used is interpolation.
Let me know if I can help you with anything else!
\[
y = 1954 - 7.3(7)
\]
\[
y = 1954 - 51.1
\]
\[
y = 1902.9
\]
This calculation appears to be incorrect. Let's actually perform the math for \( x = 7 \):
\[
y = 1954 - 7.3(7) = 1954 - 51.1 = 1902.9
\]
Next, we need to analyze whether we're extrapolating or interpolating.
- **Extrapolation** occurs when we estimate a value outside the range of given data.
- **Interpolation** occurs when we estimate a value within the range of given data.
In the provided table, the number of miles run seems to range from 1 to 10 miles. Since 7 miles falls within this range, we are conducting interpolation.
Thus, the revised response for the question:
- The weight of a cheetah that runs 7 miles is approximately 1902.9 pounds, and the process used is interpolation.
Let me know if I can help you with anything else!