Question

chester used the regression equation of the weight loss plan to make a prediction within the given data range. complete his work to calculate the number of weekly hours of aerobic activity needed for a monthly weight loss of 3 pounds. round to the nearest hundredth.

1. regression equation: ( y = 1.178x + 0.71 )
2. substitute 3 for ( y ): ( 3 = 1.178x + 0.71 )
3. subtract 0.71 from both sides: ( 2.29 = 1.178x )
4. divide both sides by 1.178: ( \frac{2.29}{1.178} = \frac{1.178}{1.178}x )

about hours of weekly aerobic activity will result in 3 pounds of monthly weight loss.

Explanation:

Step1: Subtract 0.71 from both sides

$$3 = 1.178x+0.71$$
$$3 - 0.71=1.178x+0.71 - 0.71$$
$$2.29 = 1.178x$$

Step2: Divide both sides by 1.178

$$x=\frac{2.29}{1.178}$$
$$x\approx1.94$$

Answer:

$1.94$