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 $
orchestra answered 1 year agoRelated Solutions
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)
761
66.27
855
57.85
681
60.67
658
42.06
218
24.26
587
44.09
973
72.11
925
68.75
672
45.04
426
28.82
243
28.01
A student calculates a linear model
yy = xx + . (Please show your answers to two decimal
places)
Use the model to estimate...
22 Statistics students in Oxnard College sampled 11 textbooks in the Condor bookstore, and recorded number...
22
Statistics students in Oxnard College sampled 11 textbooks in
the Condor bookstore, and recorded number of pages in each textbook
and its cost. The bivariate data is shown below,
Number of Pages (xx)
Cost(yy)
513
65.43
323
34.53
751
87.61
619
70.09
671
80.81
914
101.54
310
44.1
321
51.31
243
45.73
496
63.56
528
59.08
A student calculates a linear model
yy = xx + . (Please show your answers to two decimal
places)
Use the model above to...
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 bivariate data are shown below:
Number of Pages (xx)
Cost(yy)
470
65.4
980
135.6
300
53
888
117.56
982
128.84
762
110.44
267
41.04
571
88.52
640
91.8
A student calculates a linear model
yy = xx + . (Please show your answers to two decimal
places)
Use the model to estimate the cost when number...
Statistics students in Oxnard College sampled 10 textbooks in the Condor bookstore, and recorded number of...
Statistics students in Oxnard College sampled 10 textbooks in
the Condor bookstore, and recorded number of pages in each textbook
and its cost. The bivariate data is shown below,
Number of Pages (xx)
Cost(yy)
526
52.08
625
59
589
56.12
409
25.72
489
34.12
500
53
906
78.48
251
26.08
595
50.6
719
68.52
A student calculates a linear model
yy = xx + . (Please show your answers to two decimal
places)
Use the model above to estimate the cost...
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