Project #23049 - Week 7 Statistics Problems

The state spreadsheet, book and assignment are attached. 

 

Regression Activity:

 

This activity will help you determine if you grasped some of the key topics from our study of Sections 10-1 and 10-2 and in that way it will help prepare you for answering some of the inference questions covered on the final exam project assessment.  Furthermore, this activity meets the course outcomes to select and apply the statistical test or tests that are most appropriate to analyze a data set as well as to determine reasonable inferences and predictions from a set of data to make appropriate decisions.

 

In order to earn the full ten points for this activity, your responses to it must be complete and reasonable.  An incomplete response would be one that does not answer all parts or the computations for a part or parts are not completed.  An example of an unreasonable response would be one in which the value you state for r is less than -1 or greater than +1 (because the smallest r can ever be is -1 and the largest it can ever be is +1).  This conference will close for participation on 9 March at 23:59 pm, Eastern Standard Time (USA state of Maryland time zone), so don't delay; make your posting today!

 

When responding to this assignment, please type your name into the subject box.

 

 

This activity involves the total number of notes posted and the anticipated score on the final exam project assessment. You will need to record the total number of notes that you have written as of now and the score you anticipate earning on the final exam project. In your portfolios (click on the Conference Participation tab in your portfolio) you will find your conference participation statistics at the top of that page. It includes the total number of notes that you have written (it should be located to the top right); please use that number.  Replace the last entry, (?, ?), with your ordered pair, (total notes written, expected score on final exam project) before answering the various parts below. Note that you can use a calculator's special statistical functions after entering the data or you could Excel or...  to compute the values of r, the slope, and the y-intercept if you so desire.   

 

A random sample of six students revealed the following statistics regarding the total number of notes they had written to date, x, and their anticipated scores on the final exam project, y.

 

x

y

16

74

28

96

19

85

8

61

20

80

?

?


a)  State the ordered pair you used, ( _, _ ).

b) Calculate and state the value of the correlation coefficient, r, for these six data. 

c) Compare the value of the correlation coefficient, that you computed for part a, to the appropriate critical values in Table I of the appendix of our textbook (or other PPMC table).  There is a ____________.  Fill in the blank with the best answer from i to iv.

i.                    significant linear relationship between the total number of notes posted and the corresponding anticipated final exam project score at the 5% significance level only

ii.                   significant linear relationship between the total number of notes posted and the corresponding anticipated final exam project score at the 1% level of significance only

iii.                 significant linear relationship between the total number of notes posted and the corresponding anticipated final exam project score at both the 5% and the 1% levels of significance

iv.                 significant linear relationship between the total number of notes posted and the corresponding anticipated final exam project score at neither the 5% nor the 1% levels of significance 

d) Find the equation of the regression line for the data.  Please complete this part of the activity even if r was not significant at the 5% level for part c above, so that you will have the practice and feedback to your posting in order to help you with the Final Exam Project Assessment.

e) State the meaning of the slope of the line in the context of this problem (anticipated final exam project score and total notes posted).  Please complete this part of the activity even if r was not significant at the 5% level for part c above, so that you will have the practice and feedback to your posting in order to help you with the Final Exam Project Assessment.

f) Using your answer to part d, if someone were to earn a score of 92 on the final exam project, then what would be the predicted total number of notes posted? Please complete this part of the activity even if r was not significant at the 5% level for part c above, so that you will have the practice and feedback to your posting in order to help you with the Final Exam Project Assessment.

 

 

 

ANOVA Activity

This activity will help you determine if you grasped some of the key topics from our study of Section 12-1 and in that way it will help prepare you for answering some of the inference questions covered on the final exam project assessment.  Furthermore, this activity meets the course outcomes to select and apply the statistical test or tests that are most appropriate to analyze a data set as well as to determine reasonable inferences and predictions from a set of data to make appropriate decisions.

 

In order to earn the full ten points for this activity, your responses to it must be complete and reasonable.  An incomplete response would be one that does not answer all parts or the computations for a part or parts are not completed.  An example of an unreasonable response would be one in which the value you state for SSbet is greater SStotal(because always SSbet+SSw=SStotal).  This conference will close for participation on 9 March at 23:59 pm, Eastern Standard Time (USA state of Maryland time zone), so don't delay; make your posting today!

 

When responding to this assignment, please type your state's name into the subject box.

 

 

Please view Parts 11 and 12 of your spreadsheet to complete this activity.    You will need the partially completed ANOVA table in Part 12 of your spreadsheet and your state's sample size and sample mean of your trimmed set of prices found in Part 11 of your spreadsheet. 

Let's say we want to test the hypothesis, using alpha 
a=0.05, that there is no significant difference in the average selling prices of  (all reasonably priced) homes for the states Alaska, Nevada, Rhode Island, South Dakota, Wyoming, and Your State that are advertised on forsalebyowner.com.

Here are the respective sample sizes that were taken for each of those states:  34, 40, 32, 30, 30, and your state’s sample size for the trimmed price data.


Here are the respective sample means that were reported for each of those states: $294241, $225860, $334,278, $249253, $355783, and your state’s sample mean for the trimmed prices.

 

Provide an appropriate response to each of the following.

a)      State the null hypothesis, Ho, and the alternative hypothesis, H1.

 

b)      In Part 12 of your state's spreadsheet, you will find a partially completed ANOVA table.  It contains for this test of hypotheses, the Sum of Squares Within (also known as Sum of Squares Error) and the Sum of Squares Total.  To calculate the test statistic's value, you need to first complete the rest of the ANOVA table by replacing the question marks with the correct values.  State the following values:  
i) sum of squares between
ii) d.f. between
iii) d.f. within
iv) d.f. total
v) mean square between
vi) mean square within
vii) the test statistic value, F

 

Note:  If you prefer, for part b, you can either state each of the above values without a table, or you can replace the question marks in the table below (copy and paste it into the text editor box) with the appropriate values, or copy and paste the table from your spreadsheet directly into the text box.

 

 

ANOVA Table

 

Source

Sum of Squares

 d.f.

Mean square

F

Between

?

?

?

?

Within (error)

?

?

?

 

Total

?

?

 

 

 

c)     The critical value from the F-distribution table, Table H in our textbook's appendix, using a 0.05 significance level and d.f.Num.=5 and d.f.Denom.=N-6, is somewhere between 2.21 and 2.29.  Using 2.29 for the critical value, can you reject Ho or do you fail to reject HoAND, which of the following can you conclude?

·       There is no significant difference in the average advertised selling prices of  (reasonably priced) homes for sale in the states of Alaska, Nevada, Rhode Island, South Dakota, Wyoming, and 'Your State' that are advertised on forsalebyowner.com.

·       There is a significant difference in at least one of the average advertised selling prices of  (reasonably priced) homes for sale in the states of Alaska, Nevada, Rhode Island, South Dakota, Wyoming, and 'Your State' that are advertised on forsalebyowner.com from the other average advertised selling prices of homes for sale in those states.

 

·       There is a significant difference in all of the average advertised selling prices of  (reasonably priced) homes for sale in the states of Alaska, Nevada, Rhode Island, South Dakota, Wyoming, and 'Your State' that are advertised on forsalebyowner.com.  In other words, each of those states has a mean advertised selling price that is significantly different from the other five states in this list.

 

 

 

Subject Mathematics
Due By (Pacific Time) 02/20/2014 06:00 pm
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