Number CarsHousehold SizeHousehold-size cubedPredicted Cars
1111.24
2281.59
23271.96
24642.38
35cxxv2.84
the population regression model is Y^=B0+B1X1+B2X2
SUMMARY issue
Regression Statistics
Multiple R (Correlation Coefficient)0.895828018Correlation between Xs & Ys
R substantive0.80250783780.25% of the y ^ and the actually y is due to the regressors X1 and X2. The remain 20% is due to something else outside of those variables
Adjusted R lame (correlation w/removing the most extreme values)0.605015674=r-square-(1-r-square)*(df-1)*(n-df)df=total number of indepent viariables
streamer Error (Estimated Standard Deviation of actual error)0.444400903
Observations (N)5
analysis of variance Analysis of variancess=residual integrality of squares + regression sum of squares
dfSS (Sum of Squares)MSFSignificance F
Regression ((R Square % of the df values)21.6050156740.8025078374.0634920630.197492163
Residual (is the difference btwn the actual and estimated)(The error)20.3949843260.
197492163
totality42
r-square=1-residualss/TotalSS
Coefficients (Betas)Standard Errort Stat (Ho:Bi=0)(If the B was actually 0 and irrelevantP-value (P-value associated to the T-value)Lower 95%Upper 95%Lower 95.0%Upper 95.0%
Intercept B00.8965517240.7643980641.1728859180.361624318-2.3923876914.185491139-2.3923876914.185491139
X Variable 10.336468130.4227037640.795990380.509506953-1.4822793752.155215634-1.4822793752.155215634
X Variable 20.0020898640.0131137940.1593638150.888021498-0.0543342350.058513964-0.0543342350.058513964
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