Question

In: Statistics and Probability

If you peruse the bookshelves of a typical college professor, you will find a variety of...

If you peruse the bookshelves of a typical college professor, you will find a variety of books ranging from textbooks to esoteric technical publications to paperback novels. In order to determine whether or not the price of a book can be determined by the number of pages it contains, a college professor recorded the number of pages and price for 15 books on one shelf. The data are shown below.

Pages	Price	Pages	Price	Pages	Price
104*	32.95	342*	49.95	436	5.95
188*	24.95	378	4.95	458*	60.00
220*	49.95	385	5.99	466*	49.95
264*	79.95	417	4.95	469	5.99
336	4.50	417*	39.75	585	5.95

*Denotes Hardback Book

Relating # of pages and price, would you expect a positive or negative correlation?

Construct scatterplot and calculate Pearson correlation coefficient. Depict type of book on your scatterplot.

Construct scatterplot and calculate Pearson correlation coefficient using just the data for the hardback books.

Construct scatterplot and calculate Pearson correlation coefficient using just the data for the paperback books.

What do you learn from parts b, c, and d above.

Expert Solution

(a).By seeing the data I expect Correlation to be positive as increase in book pages, increase in price too.

(b). For the construction of scatterplot and calculate pearson correlation coefficient follow the given steps:

Firstly, enter the data in the excel spreadsheet.
Then select the data and go to insert option in the toolbar.
Then under the chart section, Select scatterplot.
Now for the correlation coefficient (r) use the function "=CORREL(array1, array2)". In array1 select pages data and in array2 select price data.

(c.)

(d).

(e). Part b shows that there is a negative correlation between the pages and price of a book when data of both the hardback and paperback book is included. It means as the number of pages in a book incease (or decrease) then the price of book decrease (or increase).

whereas, in part c and d there is a positive correlation between the pages and price. It means as the number of pages in a book incease (or decrease) then the price of book increase (or decrease) but in part d there is a correlation of higher magnitude than that in part c.

orchestra answered 1 year ago

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