Statistics students in Oxnard College sampled 10 textbooks in the Condor bookstore and recorded the number of pages in each textbook and its cost. The bivariate data are shown below: Number of Pages (x) 961 394 282 848 743 443 538 297 929 254 Cost(y) 75.66 41.64 20.92 52.88 49.58 36.58 36.28 35.82 56.74 25.24 A student calculates a linear model y = places) Use the model to estimate the cost when number of pages is 613. Cost = $ (Please show your answer to 2 decimal places.) X + (Please show your answers to two decimal

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### Textbook Page Count and Cost Analysis

Statistics students at Oxnard College sampled ten textbooks from the Condor bookstore and recorded the number of pages in each textbook along with its cost. The bivariate data collected is presented in the table below:

| **Number of Pages (x)** | **Cost (y)** |
| ----------------------- | ------------- |
| 961                     | 75.66         |
| 394                     | 41.64         |
| 282                     | 20.92         |
| 848                     | 52.88         |
| 743                     | 49.58         |
| 443                     | 36.58         |
| 538                     | 36.28         |
| 297                     | 35.82         |
| 929                     | 56.74         |
| 254                     | 25.24         |

**Exercise for Students:**

A student calculates a linear model based on the data. Fill in the blanks to complete the linear equation model:

\[ y = \boxed{\phantom{xx}} x + \boxed{\phantom{xx}} \]

(Please show your answers to two decimal places.)

Next, use the model to estimate the cost of a textbook with 613 pages.

\[ \text{Cost} = \$\boxed{\phantom{xx}} \]

(Please show your answer to two decimal places.) 

#### Understanding the Linear Model

- **Independent Variable (x):** The number of pages in the textbook.
- **Dependent Variable (y):** The cost of the textbook in dollars. 

Students are encouraged to calculate the coefficients for the linear equation using regression analysis techniques. After determining the linear equation, they will use the model to predict the cost for a textbook containing 613 pages.

This exercise aims to enhance students' understanding of data analysis and the application of linear regression in real-world scenarios.
Transcribed Image Text:### Textbook Page Count and Cost Analysis Statistics students at Oxnard College sampled ten textbooks from the Condor bookstore and recorded the number of pages in each textbook along with its cost. The bivariate data collected is presented in the table below: | **Number of Pages (x)** | **Cost (y)** | | ----------------------- | ------------- | | 961 | 75.66 | | 394 | 41.64 | | 282 | 20.92 | | 848 | 52.88 | | 743 | 49.58 | | 443 | 36.58 | | 538 | 36.28 | | 297 | 35.82 | | 929 | 56.74 | | 254 | 25.24 | **Exercise for Students:** A student calculates a linear model based on the data. Fill in the blanks to complete the linear equation model: \[ y = \boxed{\phantom{xx}} x + \boxed{\phantom{xx}} \] (Please show your answers to two decimal places.) Next, use the model to estimate the cost of a textbook with 613 pages. \[ \text{Cost} = \$\boxed{\phantom{xx}} \] (Please show your answer to two decimal places.) #### Understanding the Linear Model - **Independent Variable (x):** The number of pages in the textbook. - **Dependent Variable (y):** The cost of the textbook in dollars. Students are encouraged to calculate the coefficients for the linear equation using regression analysis techniques. After determining the linear equation, they will use the model to predict the cost for a textbook containing 613 pages. This exercise aims to enhance students' understanding of data analysis and the application of linear regression in real-world scenarios.
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