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Chapter 3: Q.42 (page 191)

How much gas? Refer to Exercise 40. Would it be appropriate to use the regression line to predict Joan鈥檚 natural-gas consumption in a future month with an average temperature of 65掳F? Justify your answer

Short Answer

Expert verified

we can surely predict J's natural gas consumption in the future months with an average temperature of65掳F

Step by step solution

01

Given Information

It is given in the question 40, y^=1425鈭�19.87x

Would it be appropriate to use the regression line to predict Joan鈥檚 natural-gas consumption in a future month with an average temperature of65掳F

02

Explanation

A regression line is extrapolated to make predictions far beyond the interval of values of the explanatory variable Xused to obtain the regression line. These predictions are often incorrect.

Here is the equation for the least squares when considering how much gas there is:

y^=1425鈭�19.87x

Our data shows that the average temperature of localid="1649399013276" 65鈭�Fis not too far outside our x- values.

Joan's natural gas consumption can therefore be predicted in a future month if the weather averages65掳F.

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