Question

christine is interested in buying a new backpack. she compares the price and volume of several backpacks. christine finds that the relationship between price and volume can be described by the following least square regression line: predicted price = 890 - 105(backpack volume). what is the slope of christine’s data? a -105 price/volume b -105 volume/price c 105 price/volume d 105 volume/price

Explanation:

Step1: Recall the slope-intercept form

The slope - intercept form of a linear equation is $y = mx + b$, where $m$ is the slope and $b$ is the y - intercept. In the given equation "Predicted Price = 890 - 105(Backpack Volume)", we can rewrite it in the form $y=mx + b$ where $y$ (the dependent variable) is the Predicted Price, $x$ (the independent variable) is the Backpack Volume, $m$ (the slope) is the coefficient of $x$ (Backpack Volume), and $b = 890$.

Step2: Identify the slope and its units

The equation is $y=890- 105x$ (where $y$ is price and $x$ is volume). The slope $m=- 105$. The units of the slope are the units of the dependent variable (price) divided by the units of the independent variable (volume), so the slope is - 105 price/volume.

Answer:

A. -105 price/volume