# ايمان صبحى عبدالفتاح جوده

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 f*x^2 f*x Min class (x) frequency(F) classes 2531.25 112.5 22.5 5 20- 18587.5 385 27.5 14 25- 11618.75 357.5 32.5 11 30- 18281.25 487.5 37.5 13 35- 7225 170 42.5 4 40- 6768.75 142.5 47.5 3 45-50 57012.5 1655 210 50 total class range = Upper limit - lower limit = 5 Min class (x) = (lower limit + upper limit) / 2 mean (x) = (∑ fx) / (∑ f) = c9/e9 = 33.1 variance (σ²) =(∑fx²/∑f)-(∑fx/∑f)² = (b9/e9) - (c9/c9)² = 44.64 st.deviation (σ) = sqrt (b17) = 6.6813172

EXERCISE 2:

 HS GPA 1 ™ YR COLLEGE GPA 3.5 3.8 3 1.4 2.6 1.4 3.1 3.1 3.8 2.5 3.7 3.8 2 3.5 2.5 2 3.9 2.7 3.7 3.8 2.5 2.8 Column1 Column2 Mean 3.118181818 Mean 2.8 Standard Error 0.195317076 Standard Error 0.273695 Median 3.1 Median 2.8 Mode 3.7 Mode 3.8 Standard Deviation 0.647793458 Standard Deviation 0.907744 Sample Variance 0.419636364 Sample Variance 0.824 Kurtosis -1.28503531 Kurtosis -1.10222 Skewness -0.344835897 Skewness -0.43432 Range 1.9 Range 2.4 Minimum 2 Minimum 1.4 Maximum 3.9 Maximum 3.8 Sum 34.3 Sum 30.8 Count 11 Count 11 Column 1 Column 2 Column 1 1 Column 2 0.316309897 1 SUMMARY OUTPUT Regression Statistics Multiple R 0.316309897 R Square 0.100051951 Adjusted R Square 5.77233E-05 Standard Error 0.647774761 Observations 11 ANOVA df SS MS F Significance F Regression 1 0.419854 0.419854 1.000577 0.343304 Residual 9 3.776509 0.419612 Total 10 4.196364 Coefficients Standard Error t Stat P-value Lower 95% Upper 95% Lower 95.0% Upper 95.0% Intercept 2.486142983 0.661354 3.759171 0.004491 0.990056 3.98223 0.990056 3.98223 X Variable 1 0.225728155 0.225663 1.000289 0.343304 -0.28476 0.736213 -0.28476 0.736213

EXERCISE 3:

 10 -1 3 7 12 4 0 2 0 2 -1 1 26 -0.06667 0.333333 -0.2 40 0 0.5 -1 8 0.133333 -0.16667 0.4