Question

# Statistics students in Oxnard College sampled 9 textbooks in the Condor bookstore and recorded the number...

Statistics students in Oxnard College sampled 9 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 (xx) Cost(yy)
359 31.95
865 59.25
554 38.7
966 51.3
782 61.1
733 58.65
209 19.45
697 49.85
582 46.1

A student calculates a linear model using technology (Statistics Calculator or Computer)
Use the model to estimate the cost when number of pages is 874.
Cost = \$ (Use the linear model with yor rounded coefficients and then round your answer to 2 decimal places.)

Find X⋅Y and X2 as it was done in the table below.

 X Y X⋅Y X⋅X 359 31.95 11470.05 128881 865 59.25 51251.25 748225 554 38.7 21439.8 306916 966 51.3 49555.8 933156 782 61.1 47780.2 611524 733 58.65 42990.45 537289 209 19.45 4065.05 43681 697 49.85 34745.45 485809 582 46.1 26830.2 338724

• Answer : Y hat = 0.05 x + 12.90

Given x = 874 then

y = 0.05 ( 874 ) + 12.90

=56.6

• Answer : Cost (y ) = \$ 56.60

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