A student calculates a linear model using technology (Statistics Calculator or Computer) (Please show your answers to two decimal places) Use the model to estimate the cost when number of pages is 535. Cost = $ (Use the linear model with yor rounded coefficients and then round your answer to 2 decimal places.)
Continuous Probability Distributions
Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.
Normal Distribution
Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!
![**Statistics students in Oxnard College** sampled 11 textbooks in the Condor bookstore and recorded the number of pages in each textbook and its cost. The data are shown below:
| Number of Pages (x) | Cost (y) |
|---------------------|-----------|
| 565 | 75.45 |
| 828 | 105.64 |
| 960 | 129.8 |
| 475 | 67.75 |
| 731 | 95.03 |
| 223 | 40.99 |
| 772 | 104.36 |
| 726 | 99.38 |
| 598 | 88.74 |
| 617 | 76.21 |
| 883 | 120.79 |
A student calculates a linear model using technology (Statistics Calculator or Computer):
\[
\hat{y} = \_\_\_ \times x + \_\_\_ \quad \text{(Please show your answers to two decimal places)}
\]
Use the model to estimate the cost when the number of pages is 535.
Cost = $____ (Use the linear model with your rounded coefficients and then round your answer to 2 decimal places.)
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