Question

1. how much gas? joan is concerned about the amount of energy she uses to heat her home. the graph below plots the mean number of cubic feet of gas per day that joan used each month against the average temperature that month (in degrees fahrenheit) for one - heating season.

(a) does the plot show a positive or negative association between the variables? why does this make sense?
(b) what is the form of the relationship? is it very strong? explain your answers.
(c) explain what the point at the bottom right represents.

Explanation:

Step1: Analyze variable relationship

As temperature increases, gas - consumed decreases. So, it's a negative relationship.

Step2: Determine form of relationship

The points seem to roughly follow a linear pattern.

Step3: Interpret bottom - right point

The bottom - right point represents a high temperature and low gas - consumed situation.

Answer:

(a) The plot shows a negative relationship between the variables. This makes sense because as the temperature increases, less gas is needed to heat the home.
(b) The form of the relationship is approximately linear. The points seem to follow a line - like trend.
(c) The point at the bottom - right represents a month with a relatively high average temperature and a relatively low amount of gas consumed for heating.