5. In the sport of cliff diving, competitors perform three dives from a height of 28 meters. Judges award divers a score from 0 to 10 points based on degree of difficulty, take-off, positions, and water entrance. The table shows the speed of a diver at various distances in the dive. Wind Speed (mph) 5 10 15 20 25 30 35 40 Wind Chill (°F) 48.22 46.04 44.64 43.60 42.76 42.04 41.43 40.88 a. Create a scatter plot. b. Determine a power function to model the data. c. Use the function to predict the wind chill temperature when the wind speed is 65 miles per hour.

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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**Cliff Diving and Wind Chill Analysis**

In the sport of cliff diving, competitors perform three dives from a height of 28 meters. Judges award divers a score from 0 to 10 points based on degree of difficulty, take-off, positions, and water entrance. The table below shows the wind speed and the corresponding wind chill experienced by divers during various distances in the dive.

| Wind Speed (mph) | Wind Chill (°F) |
|------------------|----------------|
| 5                | 48.22          |
| 10               | 46.04          |
| 15               | 44.64          |
| 20               | 43.60          |
| 25               | 42.76          |
| 30               | 42.04          |
| 35               | 41.43          |
| 40               | 40.88          |

**Tasks:**

a. **Create a Scatter Plot:**
   - Plot the wind speed on the x-axis and the wind chill on the y-axis to visualize the relationship between the two variables.

b. **Determine a Power Function to Model the Data:**
   - Analyze the scatter plot and determine an appropriate power function that fits the data points. This function can be used to predict wind chill for various wind speeds.

c. **Use the Function to Predict Wind Chill at 65 mph:**
   - Apply the power function to estimate what the wind chill temperature would be when the wind speed is 65 miles per hour.
Transcribed Image Text:**Cliff Diving and Wind Chill Analysis** In the sport of cliff diving, competitors perform three dives from a height of 28 meters. Judges award divers a score from 0 to 10 points based on degree of difficulty, take-off, positions, and water entrance. The table below shows the wind speed and the corresponding wind chill experienced by divers during various distances in the dive. | Wind Speed (mph) | Wind Chill (°F) | |------------------|----------------| | 5 | 48.22 | | 10 | 46.04 | | 15 | 44.64 | | 20 | 43.60 | | 25 | 42.76 | | 30 | 42.04 | | 35 | 41.43 | | 40 | 40.88 | **Tasks:** a. **Create a Scatter Plot:** - Plot the wind speed on the x-axis and the wind chill on the y-axis to visualize the relationship between the two variables. b. **Determine a Power Function to Model the Data:** - Analyze the scatter plot and determine an appropriate power function that fits the data points. This function can be used to predict wind chill for various wind speeds. c. **Use the Function to Predict Wind Chill at 65 mph:** - Apply the power function to estimate what the wind chill temperature would be when the wind speed is 65 miles per hour.
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