__Interpretation of the Regression Equation__

We will use the Temperature/Water
example to learn how to interpret the simple linear
regression equation where *Water Consumption = -96. 8452 + 1.45116*Temperature*

- Let's round the values to the nearest tenth and put it in slope-intercept
form. (Click here if you need an
algebra
review of linear equations.) So now our equation is
**Water Consumption = 1.5*Temperature - 96.9.**

**
Interpret the slope: ** Slope = 1.5

- The units for the slope = (y-units)/(x-units) = (ounces of water)/(degrees
F) = (1.5 ounces)/(1 degree F)

- Interpretation: For every 1 degree F increases in temperature, the water consumption is expected to increase by 1.5 ounces.

**Interpret the y-intercept:**
y-intercept = -96.9

- The y-intercept is the value of y, when x is equal to zero.

**Final Interpretation:** For this example, when the temperature is zero
degrees, then a person would drink about -97 ounces of water. That
does not make any sense! Therefore our model is not applicable when x = 0,
and we cannot expect it to be accurate at such low temperatures. The
sample of data was taken in the summer time where the temperatures range
from 75 to 99 degrees F. Thus the model only predicts for temperatures
in approximately that range.

2. Using the Regression Equation for Prediction

3.
Measuring the
** Strength
of the Association**

Simple Linear Regression Menu Dictionary