Answer:
A) We are extrapolating. Extrapolation is dangerous because the pattern of data may change outside the x range.
Step-by-step explanation:
When we use a least-squares line to predict y values for x values beyond the range of x values found in the data, are we extrapolating or interpolating? Are there any concerns about such predictions? (Choose one)
A) We are extrapolating. Extrapolation is dangerous because the pattern of data may change outside the x range.
B) We are interpolating. There are no concerns about interpolation.
C) We are interpolating. Interpolation is dangerous because the pattern of data may change inside the x range.
D) We are extrapolating. There are no concerns about extrapolation.
The answer is A
assuming we are looking for the value of y within the range of x, we are interpolating. Take for instance, the range of xi between 60 and 65, what is the value of y at point 62.5. This is interpolation.
But then we have the data sets of temperature of a particular place within 1 to 15 days in a month. if we are asked to look for its temperature on the 31st of that particular month, we are extrapolating, which might take a different pattern from the line of best bit
