phone contacts vs gpa

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Phone Contacts Vs GPA. Is there a Correlation between the number of Contacts in someone's phone and their G.P.A?. Intro. We felt that the number of phone contacts vs. GPA was a unique comparison We felt that any correlation would be interesting to see; even if there was no correlation. - PowerPoint PPT Presentation

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  • Phone Contacts Vs GPAIs there a Correlation between the number of Contacts in someone's phone and their G.P.A?

  • IntroWe felt that the number of phone contacts vs. GPA was a unique comparisonWe felt that any correlation would be interesting to see; even if there was no correlation

  • Univariate Analysis of GPAMean X= 3.45 SX= .476

    Outlier test=Q3-Q1 * 1.5= .7125 Outlier=2.74

  • Univariate Analysis of ContactsMean X= 93.576 SX= 60.597

    Outlier test=Q3-Q1 * 1.5= 158.25 Outlier=-64.674

  • Explanatory & Response VariableExplanatory = GPAResponse= # of Phone Contacts

    The GPA of a student affects the amount of contacts they have in their phone because people with higher GPAs spend more time studying, and therefore less time with friends

  • DataForm: LinearDirection: NegativeStrength: Moderate

    Chart1

    55

    60

    102

    30

    60

    205

    30

    111

    104

    155

    114

    70

    90

    140

    28

    187

    100

    116

    31

    37

    32

    177

    44

    83

    27

    228

    20

    100

    41

    140

    21

    160

    190

    Sheet1

    3.9555

    3.760

    3.7102

    3.730

    4.0460

    3205

    3.3330

    3.64111

    3.5104

    3.7155

    3.7114

    3.670

    3.590

    3.25140

    3.228

    3.67187

    4100

    3.52116

    3.8431

    3.737

    3.532

    3.5177

    3.744

    3.583

    327

    2.5228

    320

    3100

    3.941

    2.7140

    421

    3.4160

    1.8190

    Sheet1

    Sheet2

    Sheet3

  • GPA Contacts GPA ContactsRaw Data

    3.95553.7603.71023.7304.046032053.33303.641113.51043.71553.71143.6703.5903.251403.2283.6718741003.52116

    3.84313.7373.5323.51773.7443.5833272.522832031003.9412.71404213.41601.8190

  • VariationExplained variation = sum ( y-mean)2= 25453.37673Unexplained variation = sum (y )2=92048.68388Total variation = sum (y y-mean)2=117502.0606

  • r = -.4654, r2= .2166 or 21.7% c.v=.335 so r>c.v Regression line Y= 297.9936 + -59.309x There is a Negative correlation between the GPA and number of contacts. The lower the GPA= More contacts; Higher GPA= Less contacts.

  • X

    Y

    GPA # of contacts

  • Histogram contdBoth histograms have an equal distribution For GPA: Outliers are 1.8, 2.5, 2.7 For Contacts: No OutliersConforms with Empirical Rule Test

  • Empirical Rule TestEmpirical Rule Test for GPA:68% of the data falls between the values 3.591 0.3445 = 3.24653.591 + 0.3445 = 3.935595% of the data falls between the values3.591 2(0.3445) = 2.9023.591 + 2(3.445) = 4.2899.7% of the data falls between the values3.591 3(0.3445) = 2.55753.591 + 3(0.3445) = 4.6245Empirical Rule Test for Current Events Scores:68% of the data falls between the values0.6445 0.2896 = 0.35490.6445 + 0.2896 = 0.934195% of the data falls between the values0.6445 2(0.2896) = 0.06530.6445 + 2(0.2896) = 1.223799.7% of the data falls between the values0.6445 3(0.2896) = -0.22430.6445 + 3(0.2896) = 1.5133

  • Standard Errorse =se =se =54.49

  • E = 68.19 95% Prediction Interval (X0 = 3.7)

  • 95% Prediction Interval (contd)10.361 < y < 146.741There is a very large prediction interval, due in part to the small r and r2 values.

  • ResidualsThis shows linear correlation because the plots are randomly scattered and there is no patter on the residual graph

  • Conclusion

    In conclusion we found out that there was a weak correlation on students GPA and the amount of contacts they have in their phone. Since it was so weak it is only true a very little % of the time.4.9 GPA- 4 contacts (Mom, Dad, Home, and Steve)

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