A random sample of beef hotdogs was taken and the amount of sodium (in mg) and calories were measured. The data are in the table. Find the correlation coefficient and coefficient of determination and then interpret both. Use StatCrunch. Do not compute by hand. Calories and Sodium Levels in Beef Hotdogs Calories x Sodium y 131 235 159 447 169 409 162 537 183 537 172 443 188 504 113 253 166 457 The correlation coefficient is r = |(round to five decimal places), which is a Select an answer ♥ Select an answer ♥ correlation. The coefficient of determination is r2 = (round to four decimal places), SO % (round to two decimal places) of the variability in the amount of sodium in beef hotdogs is explained by the variation in the number of calories.

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**Title: Analysis of Sodium and Calorie Levels in Beef Hotdogs**

A random sample of beef hotdogs was taken, and the amount of sodium (in mg) and calories was measured. The data are presented in the table below. Your task is to find the correlation coefficient and the coefficient of determination, and then interpret both. Use StatCrunch to perform these calculations. It is not necessary to compute them by hand.

**Table: Calories and Sodium Levels in Beef Hotdogs**

| Calories (x) | Sodium (y) |
|--------------|------------|
| 131          | 235        |
| 159          | 447        |
| 169          | 409        |
| 162          | 537        |
| 183          | 537        |
| 172          | 443        |
| 188          | 504        |
| 113          | 253        |
| 166          | 457        |

**Statistical Analysis:**

1. **Correlation Coefficient (r):**  
   - Calculate the correlation coefficient using StatCrunch. Fill in the value as well as assess whether this indicates a positive or negative correlation.

2. **Coefficient of Determination (r²):**  
   - Calculate the coefficient of determination using StatCrunch. Write the value in the provided blank and calculate the percentage of variability in the sodium content explained by the calories.

**Note:** Round the correlation coefficient to five decimal places and the coefficient of determination to four decimal places. The percentage of variability should be rounded to two decimal places before interpreting the data and completing the analysis.
Transcribed Image Text:**Title: Analysis of Sodium and Calorie Levels in Beef Hotdogs** A random sample of beef hotdogs was taken, and the amount of sodium (in mg) and calories was measured. The data are presented in the table below. Your task is to find the correlation coefficient and the coefficient of determination, and then interpret both. Use StatCrunch to perform these calculations. It is not necessary to compute them by hand. **Table: Calories and Sodium Levels in Beef Hotdogs** | Calories (x) | Sodium (y) | |--------------|------------| | 131 | 235 | | 159 | 447 | | 169 | 409 | | 162 | 537 | | 183 | 537 | | 172 | 443 | | 188 | 504 | | 113 | 253 | | 166 | 457 | **Statistical Analysis:** 1. **Correlation Coefficient (r):** - Calculate the correlation coefficient using StatCrunch. Fill in the value as well as assess whether this indicates a positive or negative correlation. 2. **Coefficient of Determination (r²):** - Calculate the coefficient of determination using StatCrunch. Write the value in the provided blank and calculate the percentage of variability in the sodium content explained by the calories. **Note:** Round the correlation coefficient to five decimal places and the coefficient of determination to four decimal places. The percentage of variability should be rounded to two decimal places before interpreting the data and completing the analysis.
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