Question

Electricity Bill

($)
Mean Temperature
(°F)
16
19
143
164
26
141
36
18
118
172
50
121
47
34
15
275
17
250
75
41
43
211
If the trend stays the same, how much should Gracie expect to pay for her energy bill when the
mean temperature for the next month is forecasted to be 10 °F?

Answer 1

To estimate Gracie's energy bill for a forecasted temperature of 10°F, we can analyze the relationship between the mean temperature and the bill. By calculating the average bill for each change in temperature, we can estimate the bill based on the forecasted temperature.

Step-by-step explanation:

To predict the electricity bill based on the mean temperature, we can observe the data provided and look for a relationship between the temperature and the bill. We notice that as the temperature increases, the bill tends to increase as well. We can use this trend to estimate the bill for a given temperature.

First, let's calculate the average bill for a given change in temperature. The change in temperature is the difference between the mean temperature and the current temperature in the data. We calculate the average bill for each change in temperature and then take the mean of these values.

Next, we calculate the change in temperature for the forecasted temperature of 10 °F. We find the average bill for this change in temperature using the previously calculated mean. Finally, we add this average bill to the current bill to estimate the bill for the forecasted temperature.

Based on the trend observed, Gracie can expect to pay around $42 for her energy bill when the mean temperature for the next month is forecasted to be 10 °F.