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{"sheet":"AddFile 2-Linear regression","index":0,"n_rows":5461,"n_cols":14,"rows_kept":5461,"merged":[[5448,1,5449,8],[5451,1,5453,8],[5455,1,5456,8],[5457,1,5459,8],[5460,1,5461,8]]}
["Additional File 2. Multiple linear regression modelling of Buchnera protein coding genes %GC and length compared to Escherichia coli, str K12."]
[]
[null,"Confidence interval (%): 95"]
[null,"Tolerance: 0.0001"]
[]
[null,"Summary statistics:"]
[]
[null,"Variable","Observations","Obs. with missing data","Obs. without missing data","Minimum","Maximum","Mean","Std. deviation"]
[null,"E. coli %ID",5291,0,5291,0.031,0.967,{"v":0.5265670005669996,"d":"0.527"},{"v":0.16598986292316537,"d":"0.166"}]
[null,"PCG %\nGC content",5291,0,5291,0.083,0.393,{"v":0.25859440559440433,"d":"0.259"},{"v":0.041780558232285936,"d":"0.042"}]
[null,"Gene Size",5291,0,5291,{"v":66,"d":"66.000"},{"v":4242,"d":"4242.000"},{"v":973.2825552825553,"d":"973.283"},{"v":633.6659178018917,"d":"633.666"}]
[]
[]
[null,"Correlation matrix:"]
[]
[null,null,"PCG %\nGC content","Gene Size","E. coli %ID"]
[null,"PCG %\nGC content",1,{"v":0.044459363858868846,"d":"0.044"},{"v":0.7843448549240345,"d":"0.784"}]
[null,"Gene Size",{"v":0.044459363858868846,"d":"0.044"},1,{"v":0.04030041509796092,"d":"0.040"}]
[null,"E. coli %ID",{"v":0.7843448549240345,"d":"0.784"},{"v":0.04030041509796092,"d":"0.040"},1]
[]
[]
[null,"Multicolinearity statistics:"]
[]
[null,null,"PCG %\nGC content","Gene Size"]
[null,"Tolerance",{"v":0.9980233649652647,"d":"0.998"},{"v":0.9980233649652647,"d":"0.998"}]
[null,"VIF",{"v":1.0019805498589747,"d":"1.002"},{"v":1.0019805498589747,"d":"1.002"}]
[]
[]
[null,"Regression of variable E. coli %ID:"]
[]
[null,"Goodness of fit statistics (E. coli %ID):"]
[]
[null,"Observations",5291]
[null,"Sum of weights",5291]
[null,"DF",5288]
[null,"R²",{"v":0.615226383228451,"d":"0.615"}]
[null,"Adjusted R²",{"v":0.6150808561419262,"d":"0.615"}]
[null,"MSE",{"v":0.010605536518668609,"d":"0.011"}]
[null,"RMSE",{"v":0.10298318561138323,"d":"0.103"}]
[null,"MAPE",{"v":21.928561517122677,"d":"21.929"}]
[null,"DW",{"v":1.6407847147434396,"d":"1.641"}]
[null,"Cp",{"v":3,"d":"3.000"}]
[null,"AIC",{"v":-24051.892674955117,"d":"-24051.893"}]
[null,"SBC",{"v":-24032.171387326405,"d":"-24032.171"}]
[null,"PC",{"v":0.3852101980311233,"d":"0.385"}]
[]
[]
[null,"Analysis of variance  (E. coli %ID):"]
[]
[null,"Source","DF","Sum of squares","Mean squares","F","Pr > F"]
[null,"Model",2,{"v":89.6713598875794,"d":"89.671"},{"v":44.8356799437897,"d":"44.836"},{"v":4227.573010084572,"d":"4227.573"},0]
[null,"Error",5288,{"v":56.0820771107196,"d":"56.082"},{"v":0.010605536518668609,"d":"0.011"}]
[null,"Corrected Total",5290,{"v":145.753436998299,"d":"145.753"}]
[null,"Computed against model Y=Mean(Y)"]
[]
[]
[null,"Type I Sum of Squares analysis (E. coli %ID):"]
[]
[null,"Source","DF","Sum of squares","Mean squares","F","Pr > F"]
[null,"PCG %\nGC content",{"v":1,"d":"1.000"},{"v":89.66705552875801,"d":"89.667"},{"v":89.66705552875801,"d":"89.667"},8454.740160567999,{"v":0,"d":"0.000"}]
[null,"Gene Size",{"v":1,"d":"1.000"},{"v":0.004304358821386245,"d":"0.004"},{"v":0.004304358821386245,"d":"0.004"},0.4058596011441204,{"v":0.5241061032839867,"d":"0.524"}]
[]
[]
[null,"Type III Sum of Squares analysis (E. coli %ID):"]
[]
[null,"Source","DF","Sum of squares","Mean squares","F","Pr > F"]
[null,"PCG %\nGC content",{"v":1,"d":"1.000"},{"v":89.43463831160219,"d":"89.435"},{"v":89.43463831160219,"d":"89.435"},8432.825454343876,{"v":0,"d":"0.000"}]
[null,"Gene Size",{"v":1,"d":"1.000"},{"v":0.004304358821386245,"d":"0.004"},{"v":0.004304358821386245,"d":"0.004"},0.4058596011441204,{"v":0.5241061032839867,"d":"0.524"}]
[]
[]
[null,"Model parameters (E. coli %ID):"]
[]
[null,"Source","Value","Standard error","t","Pr > |t|","Lower bound (95%)","Upper bound (95%)"]
[null,"Intercept",{"v":-0.28038298333152667,"d":"-0.280"},{"v":0.009055304929652452,"d":"0.009"},{"v":-30.963394994395614,"d":"-30.963"},1.3280573527538674E-193,{"v":-0.2981351181140935,"d":"-0.298"},{"v":-0.26263084854895985,"d":"-0.263"}]
[null,"PCG %\nGC content",{"v":3.115160653313131,"d":"3.115"},{"v":0.03392297194112611,"d":"0.034"},{"v":91.8304168254935,"d":"91.830"},0,{"v":3.0486576283126006,"d":"3.049"},{"v":3.1816636783136616,"d":"3.182"}]
[null,"Gene Size",{"v":1.4249371021945063E-6,"d":"0.000"},{"v":2.23670023080132e-06,"d":"0.000"},{"v":0.6370711115293302,"d":"0.637"},0.5241061032827858,{"v":-2.959918435398891E-6,"d":"-0.000"},{"v":5.809792639787904E-6,"d":"0.000"}]
[]
[]
[null,"Equation of the model (E. coli %ID):"]
[]
[null,"E. coli %ID = -0.280382983331527+3.11516065331313*PCG % GC content+1.42493710219451E-06*Gene Size"]
[]
[]
[null,"Standardized coefficients (E. coli %ID):"]
[]
[null,"Source","Value","Standard error","t","Pr > |t|","Lower bound (95%)","Upper bound (95%)"]
[null,"PCG %\nGC content",{"v":0.784103009585118,"d":"0.784"},{"v":0.008538597957963743,"d":"0.009"},{"v":91.83041682549349,"d":"91.830"},0,{"v":0.7673638337118059,"d":"0.767"},{"v":0.8008421854584301,"d":"0.801"}]
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{"$rows_empty":19}
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[]
[]
[null,"Predictions and residuals (E. coli %ID):"]
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[null,"Interpretation (E. coli %ID):"]
[]
[null,"Given the R2, 62% of the variability of the dependent variable E. coli %ID is explained by the 2 explanatory variables."]
[]
[]
[null,"Given the p-value of the F statistic computed in the ANOVA table, and given the significance level of 5%, the information brought by the explanatory variables is significantly better than what a basic mean would bring."]
[]
[]
[]
[null,"Based on the Type III sum of squares, the following variables bring significant information to explain the variability of the dependent variable E. coli %ID: PCG %\nGC content."]
[]
[null,"Based on the Type III sum of squares, the following variables do not bring significant information to explain the variability of the dependent variable E. coli %ID: Gene Size. You might want to remove them from the model."]
[]
[]
[null,"Among the explanatory variables, based on the Type III sum of squares, variable PCG %\nGC content is the most influential."]