The data is shown in the scatterplot.
An upward sloping line and 6 data points are plotted in the first quadrant of the coordinate plane. The points are all near the line. The x-axis is labeled Age in months. The y-axis is labeled Average Weight in pounds.
The equation of the line of best fit given is y=0.95x−0.47
.
Can we safely extrapolate a kitten's weight at birth using our data?
(1 point)
Responses
Yes, because the equation of the line of best fit includes all possible values of x
.
Yes, because the equation of the line of best fit includes all possible values of x.
No, because the data was collected for months 1 through 6, and extrapolating to birth may not be reliable.
No, because the data was collected for months 1 through 6, and extrapolating to birth may not be reliable.
Yes, because the equation of the line of best fit can be used for any value of x
.
Yes, because the equation of the line of best fit can be used for any value of x.
No, because the line of best fit does not fit our model well.
No, because the line of best fit does not fit our model well.
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1 answer
The best response in this scenario is:
No, because the data was collected for months 1 through 6, and extrapolating to birth may not be reliable.
Extrapolation refers to making predictions outside the range of the data collected. Since the data only covers months 1 to 6 of the kittens' lives, predicting the weight at birth (which corresponds to x = 0) may not be accurate, as the relationship captured by the line of best fit may not hold true for that extrapolated value.
