MLR Solutions

# MLR Solutions - Distribution of individual variables Step 1...

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Distribution of individual variables Step 1 Students 0 10 20 30 40 50 60 70 80 AK CT DC NJ NY .01 .05 .10 .25 .50 .75 .90 .95 .99 -3 -2 -1 0 1 2 3 Normal Quantile Plot Fitted Normal Parameter Estimates Type Parameter Estimate Lower 95% Upper 95% Location μ 34.25 27.536844 40.963156 Dispersion σ 24.113193 20.208016 29.903419 Goodness-of-Fit Test Shapiro-Wilk W Test W Prob<W 0.867726 <.0001 Note: Ho = The data is from the Normal distribution. Small p-values reject Ho. Pay 20 25 30 35 40 45 AK CT DC NJ NY .01 .05 .10 .25 .50 .75 .90 .95 .99 -3 -2 -1 0 1 2 3 Normal Quantile Plot Fitted Normal Parameter Estimates Type Parameter Estimate Lower 95% Upper 95% Location μ 31.311538 29.837326 32.785751 Dispersion σ 5.2952681 4.4376894 6.5668044 Goodness-of-Fit Test Shapiro-Wilk W Test W Prob<W 0.962394 0.0994 Note: Ho = The data is from the Normal distribution. Small p-values reject Ho. Spending 2000 3000 4000 5000 6000 7000 8000 9000 10000 AK CT DC NY NJ AK CT DC NJ NY .01 .05 .10 .25 .50 .75 .90 .95 .99 -3 -2 -1 0 1 2 3 Normal Quantile Plot Fitted Normal Parameter Estimates Type Parameter Estimate Lower 95% Upper 95% Location μ 5181.3462 4801.8665 5560.8258 Dispersion σ 1363.0647 1142.3138 1690.3732 Goodness-of-Fit Test Shapiro-Wilk W Test W Prob<W 0.922798 0.0024 Note: Ho = The data is from the Normal distribution. Small p-values reject Ho. SAT 800 850 900 950 1000 1050 1100 AK CT DC NJ NY .01 .05 .10 .25 .50 .75 .90 .95 .99 -3 -2 -1 0 1 2 3 Normal Quantile Plot Fitted Normal Parameter Estimates Type Parameter Estimate Lower 95% Upper 95% Location μ 945.54902 927.33264 963.7654 Dispersion σ 64.768299 54.192224 80.512058 Goodness-of-Fit Test Shapiro-Wilk W Test W Prob<W 0.962633 0.1080 Note: Ho = The data is from the Normal distribution. Small p-values reject Ho.

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