1. The American black bear is one of 8 bear species in the world. It is the smallest North American bear and the most common bear species on the planet. In 1969 a long-term study of the population of the black bear in the Great Smoky Mountains National Park was initiated. One aspect of the study was to develop a model that could be used to predict a bear's weight. One variable thought to be related to weight is the length of the bear. Here is data on 12 American black bears. 141.0 141.0 150.0 166.0 length Weight 110 Length is in centimeters. Weight is in kilograms. Read the problem carefully in order to figure out the 139.0 138.0 139.0 120.3 149.0 151.5 129.5 150.0 60 90 60 85 100 95 85 155 140 105 110 predictor and the predicted. Don't get them mixed up. Copy your calculator results. a is rounded to tenth place and b is rounded to ten-thousandth place. Correlation coefficient rounded to ten- thousandth place. Coefficient of determination rounded to tenth percent. Regression equation Correlation coefficient Coefficient of determination

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**Study of American Black Bears in the Great Smoky Mountains**

The American black bear is one of the eight bear species worldwide. It is the smallest North American bear and the most common bear species globally. In 1969, a long-term study was initiated to study the black bear population in the Great Smoky Mountains National Park. One aspect of this study aimed to develop a model to predict a bear's weight based on its length.

**Data on 12 American Black Bears:**

| Length (cm) | 139.0 | 138.0 | 139.0 | 120.3 | 149.0 | 141.0 | 141.0 | 150.0 | 166.0 | 151.5 | 129.5 | 150.0 |
|-------------|-------|-------|-------|-------|-------|-------|-------|-------|-------|-------|-------|-------|
| Weight (kg) | 110   | 60    | 90    | 60    | 85    | 100   | 95    | 85    | 155   | 140   | 105   | 110   |

- **Length** is measured in centimeters.
- **Weight** is measured in kilograms.

**Instructions for Analysis:**

To analyze this data, carefully determine which is the predictor and which is the predicted variable. Use your calculator to generate results. Round the **a** coefficient to the tenth place and the **b** coefficient to the ten-thousandth place. The correlation coefficient should be rounded to the ten-thousandth place, and the coefficient of determination should be rounded to the nearest tenth percent.

**Output:**

- **Regression equation:**
- **Correlation coefficient:**
- **Coefficient of determination:**
Transcribed Image Text:**Study of American Black Bears in the Great Smoky Mountains** The American black bear is one of the eight bear species worldwide. It is the smallest North American bear and the most common bear species globally. In 1969, a long-term study was initiated to study the black bear population in the Great Smoky Mountains National Park. One aspect of this study aimed to develop a model to predict a bear's weight based on its length. **Data on 12 American Black Bears:** | Length (cm) | 139.0 | 138.0 | 139.0 | 120.3 | 149.0 | 141.0 | 141.0 | 150.0 | 166.0 | 151.5 | 129.5 | 150.0 | |-------------|-------|-------|-------|-------|-------|-------|-------|-------|-------|-------|-------|-------| | Weight (kg) | 110 | 60 | 90 | 60 | 85 | 100 | 95 | 85 | 155 | 140 | 105 | 110 | - **Length** is measured in centimeters. - **Weight** is measured in kilograms. **Instructions for Analysis:** To analyze this data, carefully determine which is the predictor and which is the predicted variable. Use your calculator to generate results. Round the **a** coefficient to the tenth place and the **b** coefficient to the ten-thousandth place. The correlation coefficient should be rounded to the ten-thousandth place, and the coefficient of determination should be rounded to the nearest tenth percent. **Output:** - **Regression equation:** - **Correlation coefficient:** - **Coefficient of determination:**
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