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ID: 2946396 • Letter: 0
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00% Normal taxt Artal 000- 900 800 700 600 500 400 300 200- 100 100 200 300 400 500 600 700 800 900 1000 043-Wednesday Texts (Texts) Linear Fit 44-Saturday Tests 62382099+13988492043-Wednesday Texts Summary of Fit 0.717974 0717494 RSquare Adj Root Mean Square Error 69.53508 Observations for Sum Wgts) 89 Observations (or Sum Wgts) Lack Of Fit Analysis of Variance 86 94397 589 Sum of Source DF Squares Mean Square FRatio Model Error 587 2838220 C Total 588 10063691 17225472 7225472 1494.371 4835 Prob>F 4 Parameter Estimates Term Intercept 043-Wednesday Texts 1.3988492 0.036186 38.66 Estimate Std Error t Ratio Prob>It 6.2382099 3.545093 176 00790Explanation / Answer
From the scatter diagram we can observe that the points are scattered from lower left to upper right corner. i.e., there is a positive correlation between the given two variables. And also the Q43 variable is significantly (p<0.0001) different from zero. Hence there is a significant positive correlation between two varaiables.
Given r2=SSR/TSS =7225472/10063691 = 0.717974 = 71.8%= (coefficient of determination)
r = sqrt(r2) = 0.8473
Interpretation of r2: 71.8% of variation in the dependent variable is explained by the only independent variable. Hence Q43 is the significant independent predictor.
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