Question

In: Statistics and Probability

Statistics students in Oxnard College sampled 11 textbooks in the Condor bookstore and recorded the number...

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 bivariate data are shown below:

Number of Pages (xx) Cost(yy)
446 60.9
909 134.35
430 67.5
628 93.2
475 67.25
504 69.6
875 140.25
296 41.4
214 45.1
884 135.6
655 106.25



A student calculates a linear model
y =  x ___ + ____. (Please show your answers to two decimal places)
Use the model to estimate the cost when number of pages is 547.
Cost = _____ $ (Please show your answer to 2 decimal places.)

Solutions

Expert Solution

Solution:

X Y XY X2 Y2
446 60.9 27161.4 198916 3708.81
909 134.35 122124.2 826281 18049.9225
430 67.5 29025 184900 4556.25
628 93.2 58529.6 394384 8686.24
475 67.25 31943.75 225625 4522.5625
504 69.6 35078.4 254016 4844.16
875 140.25 122718.8 765625 19670.0625
296 41.4 12254.4 87616 1713.96
214 45.1 9651.4 45796 2034.01
884 135.6 119870.4 781456 18387.36
655 106.25 69593.75 429025 11289.0625

n = 11

Slope of the regression line is

   b = 0.15

Now , y intercept of the line is

   a = 0.3955 = 0.40

The equation of the regression line is

= bx + a

y = 0.15 x + 0.40

Now ,

For x = 547 , find the predicted value of y .

Put x = 547 in the regression line equation.

=   (0.15*547) + 0.40 =  82.45

Cost = 82.45 $


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