The scatter plot shows the average monthly temperature, x, and a family's monthly heating cost, y, for 25 different months. Españo (a) Write an approximate equation of the line of best fit for the data. It doesn't have to be the exact line of best fit. (b) Using your equation from part (a), predict the monthly heating cost for a month with an average temperature of 25 °F. Note that you can use the graphing tools to help you approximate the line. 100 As 80- (a) Write an approximate equation of the line of best fit. 70 Monthly heating cost kin dollars) y = 604 X x 50 (b) Using your equation from part (a), predict the monthly heating cost for a month with an average temperature of 40 25 °F. 30 20 10 10 20 30 40 50 60 70 80 90 100 Average monthly temperature (in F)

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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The scatter plot depicts the relationship between the average monthly temperature (x, in degrees Fahrenheit) and a family's monthly heating cost (y, in dollars) for 25 different months.

### Tasks:

**(a)** Write an approximate equation for the line of best fit for the data. Note that the equation does not have to be an exact line of best fit.

**(b)** Utilize your equation from part (a) to predict the monthly heating cost for a month with an average temperature of 25°F.

### Graph Explanation:

The scatter plot shows data points where each point represents the monthly heating cost corresponding to a specific average temperature. 

- **X-axis (Horizontal)**: Average monthly temperature in degrees Fahrenheit, ranging from 0°F to 100°F.
- **Y-axis (Vertical)**: Monthly heating cost in dollars, ranging from $0 to $100.

The points form a general downward trend, indicating that higher temperatures are associated with lower heating costs.

### Graphing Tools:

Several tools are available to help visualize the data:
- **Pencil Icon**: Likely used to draw a line of best fit manually.
- **Eraser Icon**: Used to remove any drawn lines or marks.
- **Line Tool Icon**: Possibly used to create a more precise line of best fit.

### Interactive Elements:

- **Checkboxes and Arrows**: Presumably used for submitting or verifying your answer or resetting the interface.

In the task, you must use the data to find an appropriate linear relationship and make a prediction about heating costs at a specific temperature.
Transcribed Image Text:The scatter plot depicts the relationship between the average monthly temperature (x, in degrees Fahrenheit) and a family's monthly heating cost (y, in dollars) for 25 different months. ### Tasks: **(a)** Write an approximate equation for the line of best fit for the data. Note that the equation does not have to be an exact line of best fit. **(b)** Utilize your equation from part (a) to predict the monthly heating cost for a month with an average temperature of 25°F. ### Graph Explanation: The scatter plot shows data points where each point represents the monthly heating cost corresponding to a specific average temperature. - **X-axis (Horizontal)**: Average monthly temperature in degrees Fahrenheit, ranging from 0°F to 100°F. - **Y-axis (Vertical)**: Monthly heating cost in dollars, ranging from $0 to $100. The points form a general downward trend, indicating that higher temperatures are associated with lower heating costs. ### Graphing Tools: Several tools are available to help visualize the data: - **Pencil Icon**: Likely used to draw a line of best fit manually. - **Eraser Icon**: Used to remove any drawn lines or marks. - **Line Tool Icon**: Possibly used to create a more precise line of best fit. ### Interactive Elements: - **Checkboxes and Arrows**: Presumably used for submitting or verifying your answer or resetting the interface. In the task, you must use the data to find an appropriate linear relationship and make a prediction about heating costs at a specific temperature.
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