Statistics students in Oxnard College sampled 9 textbooks in the Condor bookstore, and recorded number of pages in each textbook and its cost. The bivariate data is shown below, Number of Pages (x) Cost(y) 615 34.9 314 32.84 599 31.94 357 32.42 860 58.6 973 64.38 679 51.74 250 24 748 51.88
Inverse Normal Distribution
The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.
Mean, Median, Mode
It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.
Z-Scores
A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.
![**Bivariate Data Analysis of Textbook Costs and Pages**
Statistics students at Oxnard College conducted a sample study of 9 textbooks from the Condor bookstore. They recorded the number of pages in each textbook and its corresponding cost. The bivariate data is presented in the table below:
| Number of Pages (x) | Cost (y) |
|---------------------|----------|
| 615 | 34.9 |
| 314 | 32.84 |
| 599 | 31.94 |
| 357 | 32.42 |
| 860 | 58.6 |
| 973 | 64.38 |
| 679 | 51.74 |
| 250 | 24 |
| 748 | 51.88 |
A student developed a linear model to describe the relationship between the number of pages and the textbook cost. The model is represented in the form:
\[ y = \_\_\_x + \_\_\_ \]
(Your answers should be rounded to two decimal places.)
**Using the Linear Model**
To estimate the cost when the number of pages is 520:
\[ \text{Cost} = \$\_\_\_ \]
(Provide your answer rounded to two decimal places.)
For further assistance, you may contact the instructor through the "Message Instructor" option.
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