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Which temperature values would an interpolation be limited to?

a.less than 0
b.between 0 and 60
c.between 20 and 80
d.greater than 55

User Meouw
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1 Answer

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Final answer:

The range of temperature values suitable for interpolation, based on the provided data, would be between 20 and 80 degrees. Interpolation is reliable when used within the range of known data points and considers the linearity of temperature scales without applying a ratio comparison.

Step-by-step explanation:

The question is asking for the range of temperature values within which interpolation, a method of estimating unknown values that fall within the range of known data points, could be considered reliable. When interpolating data, it is important to stay within the bounds of the observed data to avoid extrapolation, which can lead to unreliable predictions. Given the reference temperatures - between 20 and 275 K, and considering that interpolation should only be done within the observed data, the only choice that fits properly with this information is between 20 and 80 degrees, as it falls within the range of known temperature values provided.

Considering other factors mentioned, the issue of interval level data is important when considering interpolation and temperature scales. Since the interval level data does not allow for a ratio comparison (e.g., saying one temperature is 'twice as hot' as another doesn't hold true), the interpolation must be done with an understanding of the scales used, such as degrees Celsius or Fahrenheit, wherein the relationships are linear and understood through the scale's interval properties.

User Oberstet
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