College

Statistics students at Oxnard College sampled 9 textbooks from the Condor bookstore and recorded the number of pages and the cost of each textbook. The bivariate data are shown below:

| Number of Pages (x) | Cost (y) |
|---------------------|----------|
| 322 | 41.2 |
| 895 | 103.5 |
| 232 | 22.2 |
| 618 | 74.8 |
| 394 | 51.4 |
| 814 | 89.4 |
| 884 | 97.4 |
| 919 | 89.9 |
| 929 | 109.9 |

A student calculates a linear model:
\[ y = \beta x + \alpha \]
(Please show your answers to at least 4 decimal places).

Use the model to estimate the cost when the number of pages is 407.

Cost = $ (Please show your answer to 2 decimal places.)

Answer :

By using the linear function which models the data in the given table, the cost of a textbook with 402 pages is equal to $47.4478.

What is a scatter plot?

A scatter plot can be defined as a type of graph which is used for the graphical representation of the values of two variables, with the resulting points showing any association (correlation) between the data set.

What is a linear function?

A linear function can be defined as a type of function whose equation is graphically represented by a straight line on the cartesian coordinate.

By critically observing the graph (see attachment) which models the data in the given table, we can infer and logically deduce that the linear function is given by:

y = 0.1057x + 4.9564

If x = 402, then y is given by:

y = 0.1057(402) + 4.9564

y = 42.4914 + 4.9564

y = $47.4478.

Read more on scatterplot here: brainly.com/question/6592115

#SPJ1

Other Questions