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 (xx) Cost(yy) 372 48.2 673 84.3 587 75.7 311 51.1 930 99 512 52.2 806 96.6 972 118.2 399 45.9 629 72.9 A student calculates a linear model yy = xx + . (Please show your answers to two decimal places) Use the model to estimate the cost when number of pages is 348. 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 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 (xx) | Cost(yy) |
|---|---|
| 372 | 48.2 |
| 673 | 84.3 |
| 587 | 75.7 |
| 311 | 51.1 |
| 930 | 99 |
| 512 | 52.2 |
| 806 | 96.6 |
| 972 | 118.2 |
| 399 | 45.9 |
| 629 | 72.9 |
A student calculates a linear model
yy = xx + . (Please show your answers to two decimal places)
Use the model to estimate the cost when number of pages is 348.
Cost = $ (Please show your answer to 2 decimal places.)
From the provided information,
The regression equation of the data can be obtained using excel steps as follow:
- Enter the data into excel sheet.
- Go to Data > Data Analysis > Regression.
- In Input Y Range: select the data of y.
- In Input X Range: select the data of x.
- Click OK.
The output thus obtained as:
The intercept is approximately 9.342 and slope is 0.105.
The regression equation of the data is as follow:
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