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Purpose

Question:

a. Provide a descriptive analysis of the two variables (e.g; mean, standard deviation, minimum and maximum)

b. Develop a scatter diagram with retention rate as the independent variable. What does the scatter diagram indicate about the relationship between the two variables?

c. Develop and estimate a regression equation that can be used to predict the graduation rate (%) given the retention rate (%).

d. State the estimated regression equation and interpret the meaning of the slope coefficient.

e. Is there a statistically significant association between graduation rate (%) and retention rate (%). What is your conclusion?

f. Did the regression equation provide a good fit? Explain.

g. Suppose you were the president of South University. After reviewing the results, would you have any concerns about the performance of your university compared to other online universities?

h. Suppose you were the president of the University of Phoenix. After reviewing the results, would you have any concerns about the performance of your university compared to other online universities?

Your report needs to be structured as follows:

1. Purpose

2. Background

3. Method

4. Results

5. Discussion

6. Recommendations

Online universities or colleges need aid made should provide for training of the learners who can’t make display physically in the accepted setting for example, such that classroom. It needs a point of a huge scale intelligent support also open entry through alternately through web and different system innovations. Presently a day this procedure of taking in or instruction may be expanding. Those across the board utilization from claiming workstations what's more web need aggravated those methodology for taking in alternately instruction through web college quicker also simpler. These would putting forth a full educational module concerning illustration same concerning illustration an ordinary university, anyway in later times there is disaffirm between internet college or university as well as some ordinary school. The on the web or online training database is an free association whose mission will be with produce a thorough rundown certify internet universities or collages (Martin and Others, 2009). The reason for retention rate is should screen or watch to attracting furthermore holding scholars for those colleges. Retention rate will be computed by net pay of the university or college fewer profits isolated by net pay. Growth rate may be the rate of increment of the amount about understudies of the online universities or colleges, hypothetical orders had more distinction than difficult work. Presently I am setting off to dissect the middle of those retention rate and growth rate of the internet based universities on United State of America (USA).

In higher scholars would confronting disaffirm on pick school alternately online universities or colleges. Which school ought they decide web school alternately typical university? On later days understudies are picking Web/ Online universities or colleges as opposed to ordinary school. So there will be showing up a greatest test to higher training segment need been late growth of Online universities or colleges. Along these lines we must dissect those growth rate and retention rate of the web colleges done United State of America (USA).

## Background

For this dissection we are making mean, maximum as well as standard deviation of the retention rate and growth rate of the web colleges from claiming United State of America (USA). Furthermore we are additionally utilizing regression comparison through graduation rate also retention rate. After that we are ascertaining the regression co effective and statistically find that importance the middle of graduation rate and retention rate.

As stated by those giving information situated or excel expectations provided, we effortlessly discuses or ascertain the conclusions alternately results or outputs. The results or the outputs would measured toward those assistance for exactly spellbinding examination in mean or average, standard deviation, base and in addition most extreme (minimum and maximum value) utilizing programming in Microsoft office (MS- Excel). Those giving information situated of the colleges or universities as well as it is in addition its retention rate and graduation rate are indicated in below by the help of the table.

 College Retention Rate in percentage (%) Graduation Rate in percentage (%) Western International University 7 25 South University 51 25 University of Phoenix 4 28 American InterContinental University 29 32 Franklin University 33 33 Devry University 47 33 Tiffin University 63 34 Post University 45 36 Peirce College 60 36 Everest University 62 36 Upper Iowa University 67 36 Dickinson State University 65 37 Western Governors University 78 37 Kaplan University 75 38 Salem International University 54 39 Ashford University 45 41 ITT Technical Institute 38 44 Berkeley College 51 45 Grand Canyon University 69 46 Nova Southeastern University 60 47 Westwood College 37 48 Everglades University 63 50 Liberty University 73 51 LeTourneau University 78 52 Rasmussen College 48 53 Keiser University 95 55 Herzing College 68 56 National University 100 57 Florida National College 100 61

Starting with the provided for majority of the data over those retention rate of online universities or colleges of United State of America (USA) we would setting off with aggravate a scramble outline as well as accepting the retention rate and also development rate likewise autonomous variable. As stated by the giving information situated those base value/ minimum value, greatest value/ maximum value, standard deviation and mean are demonstrated clinched alongside beneath by those help of the table.

 Minimum 4 25 Maximum 100 61 Mean 57.4138 41.7586 Standard Deviation 23.2402 9.86572

Those over table may be measured or fathoming toward that assistance about Microsoft Excel or MS- Excel as well as some basic excel and mathematical formulas.

Where, mean quality of the retention rate will be equivalent to aggregate whole of cash of the retention rate for rate (%) separated by the downright no off on the online universities or colleges such as 57. 414 and in addition mean quality of the Graduation rate may be equivalent to aggregate of the graduation rate in rate (%) isolated by those aggregate no from claiming on the online universities or colleges such as 41. 759.

Similarly, those standard deviation may be measured toward σ = √((Σ (x-µ)^2)/(N-1)) or

Where, σ = those standard deviation

x = every quality of the information set

µ = the mean quality

N = those amount from claiming qualities alternately span of the information situated.

Toward that assistance of the over equation we will effectively measured alternately figure those standard deviation of the retention rate may be 23. 2402 and in addition the standard deviation about graduation rate is 9. 8657. Presently need aid making a scatter outline by taking under attention about growth rate Also retention rate of the online universities or colleges of United State of America (USA).

From those scatter outline should be obvious that development or growth rate and retention rate are bury vivo trust related. Assuming that development rate will expand afterward retention rate will likewise expand. That rate from claiming both retention and growth are upward climbing.

Those system of Common minimum square is providing for ensure that gauge those regression line which will be additionally those best fitting line, need been drawn starting with those provided for information (Canadian economy online, 2003). Here in the over diffuse outline those plot doesn't appear to be should lie near that accordance. With the goal we might say that those regression line alternately the best fitting line will fit in delicately.

## Method

Currently we would make a outline yield for regression facts by a suspicion.

 SUMMARY OUTPUT Regression Statistics Multiple R 0.621627987 R Square 0.386421354 Adjusted R Square 0.362822175 Standard Error 17.1688846 Observations 28

Right away we need aid making an assessed regression comparison as well as translating those co-efficient incline or slope. In place will would this we have expect the qualities. In the followings we bring assess regression and lingering.

 Coefficients Standard Error t Stat P-value Lower 95% Upper 95% Lower 95.0% Upper 95.0% Intercept -0.427733114 15.09197951 -0.02834175 0.97760601 -31.44974098 30.59427475 -31.44974098 30.59427475 25 1.408074644 0.34797141 4.046523943 0.000414052 0.692809173 2.123340114 0.692809173 2.123340114

In the underneath table we are demonstrating to the distinctive regression Furthermore remaining for df, SS, MS, F and significance or importance of F. We would additionally giving work to their downright.

 ANOVA df SS MS F Significance F Regression 1 4826.678724 4826.678724 16.37435602 0.000414052 Residual 26 7664.035561 294.7705985 Total 27 12490.71429

In the followings there will be a graph of coefficients, standard error, t-Stat, P-value, lower and upper rates.

 Coefficients Standard Error t Stat P-value Lower 95% Upper 95% Lower 95.0% Upper 95.0% Intercept -0.427733114 15.09197951 -0.02834175 0.97760601 -31.44974098 30.59427475 -31.44974098 30.59427475 25 1.408074644 0.34797141 4.046523943 0.000414052 0.692809173 2.123340114 0.692809173 2.123340114

In the accompanying we need aid demonstrating to those observations, prediction 7 and also residuals in the beneath table starting with 1-28 different variables.

 RESIDUAL OUTPUT Observation Predicted 7 Residuals 1 34.77413297 16.22586703 2 38.9983569 -34.9983569 3 44.63065548 -15.63065548 4 46.03873012 -13.03873012 5 46.03873012 0.961269879 6 47.44680476 15.55319524 7 50.26295405 -5.262954052 8 50.26295405 9.737045948 9 50.26295405 11.73704595 10 50.26295405 16.73704595 11 51.6710287 13.3289713 12 51.6710287 26.3289713 13 53.07910334 21.92089666 14 54.48717798 -0.487177983 15 57.30332727 -12.30332727 16 61.5275512 -23.5275512 17 62.93562584 -11.93562584 18 64.34370049 4.656299513 19 65.75177513 -5.751775131 20 67.15984977 -30.15984977 21 69.97599906 -6.975999061 22 71.3840737 1.615926295 23 72.79214835 5.207851652 24 74.20022299 -26.20022299 25 77.01637228 17.98362772 26 78.42444692 -10.42444692 27 79.83252157 20.16747843 28 85.46482014 14.53517986

As stated by those giving information situated alternately outperform sheet the retention rate quality of the south college will be a significant part higher over admiration of the graduation rate esteem. Those retention rate worth over rate of the South University is 51% and additionally those graduation rate esteem of the South University may be best 25%. Therefore, the retention rate esteem of the South University will be 26% more than that graduation rate esteem. This will be indicated that those Growth of the university, which is likewise associated of the Growth of the university and in addition at those retention rate quality will be expand over the regression rate worth of the south college will be also expand. We unmistakably said that that retention rate quality of the South University is likewise specifically proportional of the regression rate quality. Consequently the regression comparison of the South University will be beneficial fit and also that development rate and the development of the South University may be increment. Therefore, those numbers of the learners would additionally increments and in addition those school is likewise advertised a percentage new stream alternately taking in project for some new learners. Consequently it is obviously said that those retention rate worth when expand over those benefits of the business model will be on benefit.

## Results

As stated by those over research endeavor we will effortlessly measure exactly spellbinding dissection like mean, standard deviation, least quality or minimum value and greatest quality or maximum value as well as additionally regression  qualities about a few internet universities, which may be Additionally talked about clinched alongside over. That retention rate esteem and the graduation rate esteem of the internet colleges need aid also Gave done rate (%). By those help of the retention rate esteem Furthermore graduation rate worth we will also figure out or measures those regression  values of the on the web colleges (Miller, 2010). Those regression values of the internet colleges need aid also examines to over. Those regression qualities of the online universities or colleges would additionally demonstrated those development of the on the web colleges in additions of the students, expanding the attractive in system additionally exactly others, which will be likewise associated of the net benefit of the colleges or business model.

7. References

Anderson, K., Cockburn, J. and Martin, W. (2009). Would freeing up world trade reduce poverty and inequality?. Adelaide: Centre for International Economic Studies.

Canadian economy online. (2003). Choice Reviews Online, 40(12), pp.40Sup-0415-40Sup-0415.

Drennan, M. (2002). The information economy and American cities. Baltimore: Johns Hopkins University Press.

Levy, B. (2009). Town born. Philadelphia: University of Pennsylvania Press.

McCraw, T. (2012). The Founders and Finance. Cambridge, Mass.: Belknap Press of Harvard University Press.

Miller, N. (2010). Botanical aspects of environment and economy at Gordion, Turkey. Philadelphia: University of Pennsylvania Museum of Archaeology and Anthropology.

Quarter, J., Mook, L. and Ryan, S. (2010). Researching the social economy. Toronto [Ont.]: University of Toronto Press.

Ruskin's artists: studies in the Victorian visual economy: papers from the Ruskin Programme, Lancaster University. (2000). Choice Reviews Online, 38(02), pp.38-0714-38-0714.

The indispensable university: higher education, economic development, and the knowledge economy. (2010). Choice Reviews Online, 47(12), pp.47-6986-47-6986.

Welfens, P. and Walther-Klaus, E. (2007). Digital excellence. Berlin: Springer.

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250 words