Retention And Graduation Rates Analysis Of Online Universities In The USA

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	57.41379	41.75862
Standard Deviation	23.24023	9.865724

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

Starting with those provided for information we have ascertained the regression comparison. Translation about coefficient similarly as a change from claiming rate about Y may be set up for as a transform in the restrictive mean from claiming Y. There is no necessity of taking certainty intervals to coefficients under accounts. The point when we assess or translated a regression coefficient effectively as a rate for change of a restrictive imply which may be instead of a progress previously, provided for two variables. It will be a whole lot essential should make under attention the questionable matter in the estimation of the regression coefficient. Similarly as for every this system I bring computed those regression comparison offering. Which would y= 1.860x + 29.51 and y= 1.143x + 24.60 Notwithstanding I need taken a 95% certainty interim to those incline. That rate about change of the restrictive mean about Y with admiration to x will be assessed to a chance to be the middle of 1. 860 Also 1.143 is typically preferable to saying; the rate from claiming change of the restrictive imply about Y for admiration to x is close to something like 2 or a greater amount. The elucidation of the coefficient about which may be not statistically critical. This sort of interpretations will be regularly made shockingly (Drennan, 2002). If that regression coefficient about t test will be not statistically significant, this won’t make the proper will decipher or assess the coefficient. There is no statistically critical straight which dependence of imply of Y looking into x might have been distinguished. In the translation from claiming coefficients in the different regressions with the same dialect alternately variable will be fundamentally utilized within single straight regression.

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 providing for information situated or exceed expectations sheet those retention rate worth of the University of Phoenix will be much bring down over appreciation of the graduation rate quality. The retention rate worth over rate of that University of Phoenix will be best 04% and in addition the graduation rate quality of the University of Phoenix may be 28%. Therefore, the graduation rate esteem of the college for phoenix will be 24% more than that retention rate esteem. The retention rate worth will be indicated that the development of the university, which may be additionally associated of the growth of the college or University of Phoenix and additionally when those retention rate esteem is expansion over the regression rate worth of the college of phoenix will be also increment yet all the University of Phoenix the graduation rate quality may be builds and more than the retention rate worth (McCraw, 2012). Henceforth that regression comparison of the college for phoenix will be not useful fit and additionally the growth rate and the growth of the University of Phoenix will be diminishing. Therefore, those numbers of the understudies need aid likewise declines and also the university or college will be finished not advertised some new stream alternately taking in system for a percentage new people. In this way it is unmistakably said that the graduation rate esteem when expansion over those benefits of the business model is over misfortune.

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

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

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