Q.42 How much gas? Refer to Exercise ... [FREE SOLUTION]

91影视

The Practice of Statistics for AP

David Moore,Daren Starnes,Dan Yates

$Math Studyset 91影视 Explanations$ Math

4th Edition 路 809 pages

ISBN: 9781319113339

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 of $65 掳 F$

Step by step solution

Given Information

It is given in the question $40$ , $\hat{y} = 1425 鈭� 19.87 x$

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 $65 掳 F$

Explanation

A regression line is extrapolated to make predictions far beyond the interval of values of the explanatory variable $X$ used 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:

$\hat{y} = 1425 鈭� 19.87 x$

Our data shows that the average temperature of localid="1649399013276" $65^{鈭� F}$ is not too far outside our x- values.

Joan's natural gas consumption can therefore be predicted in a future month if the weather averages $65 掳$ F.