The following data represent a list of the top 7 selling books. The number of co
ID: 3159630 • Letter: T
Question
The following data represent a list of the top 7 selling books. The number of copies sold and how many pages are in the book are listed below:
Number of Copies Sold (In Millions) Pages
150 1008
140.6 300
140 128
107 309
100 272
100 329
100 317
a. Which one is the independent variable and which one is the dependent variable?
b. Find .
c. Find .
d. Find SST.
e. Find SSR.
f. Find SSE.
g. Find the coefficient of determination.
h. Find the correlation coefficient.
i. Find .
j. Find the test statistic for testing if is significant or not.
k. What conclusion would you make based on the test statistic found above?
l. Find the 95% confidence interval for .
m. Assuming a book has 400 pages, how many copies are expected to be sold?
n. Assuming a book has 400 pages, what is the 90% confidence interval for the expected number of copies sold?
o. Assuming a book has 400 pages, what is the 90% prediction interval for the expected number of copies sold?
2. The following data display the number of field goals attempted (FGA) by Steven Hauschka over the past 8 years and how many of the field goals he made (FGM). We want to see if his kicking abilities are consistent and in control.
Year
FGA
FGM
2008
2
1
2009
13
9
2010
7
6
2011
30
25
2012
27
24
2013
35
33
2014
37
31
2015
31
29
a. Find the UCL.
b. Find the LCL.
c. Is the process in control? Why/why not?
3. I am interested in looking at the salaries of professors to see if they are consistently paid similarly, regardless of location and specialties. Random samples of size four were taken and produced the following data:
Sample
Average
Range
1
95751.6
33196
2
74659.8
19028
3
64632.2
17445
4
64964
18169
5
88361.6
29142
6
73477.4
16012
7
63611.4
11595
8
64352
14901
a. Find the UCL for the R chart.
b. Find the LCL for the R chart.
c. Is this chart in control? Why/why not?
d. Find the UCL for the -chart.
e. Find the LCL for the -chart.
f. Is this process in control? Why/why not?
Year
FGA
FGM
2008
2
1
2009
13
9
2010
7
6
2011
30
25
2012
27
24
2013
35
33
2014
37
31
2015
31
29
Explanation / Answer
Number of Copies Sold is dependent variable and pages is independent variable.
We calculate all the values by using excel
SUMMARY OUTPUT Regression Statistics Multiple R 0.45109 R Square 0.203482 Adjusted R Square 0.044179 Standard Error 22.19577 Observations 7 ANOVA df SS MS F Significance F Regression 1 629.2768 629.2768 1.277325 0.309679 Residual 5 2463.26 492.6521 Total 6 3092.537 Coefficients Standard Error t Stat P-value Lower 95% Upper 95% Intercept 105.99 14.71787 7.201445 0.000804 68.15646 143.8235 X Variable 1 0.035926 0.031787 1.130188 0.309679 -0.04579 0.117638Related Questions
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