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 (z) 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 calculates a linear model (Please show your answers to two decimal places) Use the model above to estimate the cost when number of pages is 520 Cost = $|| (Please show your answer to 2 decimal places.)
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.
![**Statistics Textbook Analysis**
Statistics students in Oxnard College conducted a study on 9 textbooks available at the Condor bookstore. They recorded the number of pages in each textbook and its corresponding cost. The bivariate data collected is shown in the table below:
| Number of Pages (x) | Cost (y) |
|---------------------|----------|
| 615 | 34.9 |
| 314 | 32.84 |
| 599 | 31.94 |
| 357 | 31.42 |
| 860 | 58.6 |
| 973 | 64.38 |
| 679 | 51.74 |
| 250 | 24 |
| 748 | 51.88 |
**Linear Model Calculation**
A student attempts to calculate a linear model to represent this data in the form:
\[ y = mx + c \]
**Tasks**
1. **Calculate the Linear Model**
Please enter your values for \( m \) and \( c \) ensuring your answers are accurate to two decimal places.
2. **Estimate Costs Using the Model**
Use the derived linear model to estimate the cost of a textbook when the number of pages is 520. Enter the estimated cost to two decimal places.
\[ \text{Estimated Cost} = \$ \_\_\_\_ \]
For assistance, please contact your instructor or refer to additional resources.
**Interactive Elements**
- A field to input your calculated values for the linear model.
- A submission button to check the estimated cost.
- An option to message the instructor for further help.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F31ca7387-e9a4-4572-954b-55a04ff759a1%2Fee322d8b-52e6-489a-99b6-beb6c94e04d6%2F7u0dz0l_processed.jpeg&w=3840&q=75)
The regression equation is
x= number of pages
y= cost
Step by step
Solved in 2 steps
