Question

Create a scatterplot for the data in the table. Based on the appearance of the scatterplot, which model does the data appear to follow?

High Temperature (ºF) Electric Bill (Dollars)
71 62.78
35 99.31
91 93.84
51 87.02
83 74.96
29 110.25
101 119.52
62 73.05
(1 point)
Responses

The data appears to follow a linear model.
The data appears to follow a linear model.

The data appears to follow a quadratic model.
The data appears to follow a quadratic model.

The data appears to follow a cubic model.
The data appears to follow a cubic model.

The data appears to follow an exponential model.
The data appears to follow an exponential model.
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Answer 1

To analyze the data you provided and infer which model it may follow, we need to visualize it using a scatterplot.

Here’s the data from your table:

| High Temperature (ºF) | Electric Bill (Dollars) |
|-----------------------|--------------------------|
| 71 | 62.78 |
| 35 | 99.31 |
| 91 | 93.84 |
| 51 | 87.02 |
| 83 | 74.96 |
| 29 | 110.25 |
| 101 | 119.52 |
| 62 | 73.05 |

### Steps to Create a Scatterplot

1. **Plotting Data Points**: On the x-axis, plot the "High Temperature (ºF)" values. On the y-axis, plot the corresponding "Electric Bill (Dollars)" values.

2. **Observations**: Observe the general trend of the points to determine which mathematical model they resemble.

### Based on Typical Analysis:

- **Linear Pattern**: If the data points form a straight line or close to it, it suggests a linear relationship.
- **Quadratic Pattern**: If the data points form a U-shape or an inverted U-shape, it suggests a quadratic model.
- **Cubic Pattern**: If the data points show a wavy pattern with two bends, it suggests a cubic model.
- **Exponential Pattern**: If the data points rise or fall rapidly as one variable increases, it may suggest an exponential model.

### Conclusion:

To definitively conclude which model the data appears to follow, you would need to visualize the scatterplot. However, if you provided the scatterplot or a description of the plot's appearance, I could provide a more concrete conclusion.

In general, based on the opening values you provided (especially the mix of electric bills and temperatures), it might suggest some form of non-linear relationship due to the variability in electric bills despite changes in temperature.

If the data forms an approximate straight line, the best answer would be that "The data appears to follow a linear model."

If you can visualize it or if you have more specific information about the points' distribution, please share that, and I can assist you further.