Question

Regression Statistics Multiple R 0.983211253 R Square 0.966704367 Adjusted R Square 0.962542413 Standard Error 234.8326064 Observations...

Regression Statistics
Multiple R 0.983211253
R Square 0.966704367
Adjusted R Square 0.962542413
Standard Error 234.8326064
Observations 10

what can you conclude with this regression?

Homework Answers

Answer #1

The 10 observations in this regression seem to be a good fit since R Square is 0.9667. R Square value lies between 0 and 1, with 1 reflecting perfect fit. This means that the independent variables explain the variation in the dependent variable by approximately 96%. This is why the model is a good fit.

Adjusted R Square: Sometimes R square value is high due to a large number of independent variables. Adjusted R Square corrects the chances of a spurious regression model, adjusting the R Square value for the number of variables. In this model, the Adjusted R square is also high (and close to the R square value), and thus it can be concluded that the model is a good fit.

Multiple R shows the degree of correlation between the variables in the model, which is approx. 98% in this model.

Therefore, the model seems to be a good fit, implying correct specification and significant results.

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Regression Statistics Multiple R 0.3641 R Square 0.1325 Adjusted R Square 0.1176 Standard Error 0.0834 Observations...
Regression Statistics Multiple R 0.3641 R Square 0.1325 Adjusted R Square 0.1176 Standard Error 0.0834 Observations 60 ANOVA df SS MS F Significance F Regression 1 0.0617 0.0617 8.8622 0.0042 Residual 58 0.4038 0.0070 Total 59 0.4655 Coefficients Standard Error t Stat P-value Lower 95% Upper 95% Intercept -0.0144 0.0110 -1.3062 0.1966 -0.0364 0.0077 X Variable 1 0.8554 0.2874 2.9769 0.0042 0.2802 1.4307 How do you interpret the above table?
Regression Statistics Multiple R 0.710723 R Square 0.505127 Adjusted R Square 0.450141 Standard Error 1.216847 Observations...
Regression Statistics Multiple R 0.710723 R Square 0.505127 Adjusted R Square 0.450141 Standard Error 1.216847 Observations 21 ANOVA df SS MS F Significance F Regression 2 27.20518 13.60259 9.186487 0.00178 Residual 18 26.65291 1.480717 Total 20 53.8581 Coefficients Standard Error t Stat P-value Lower 95% Upper 95% Lower 95.0% Upper 95.0% Intercept 58.74307 12.66908 4.636728 0.000205 32.12632 85.35982 32.12632 85.35982 High School Grad -0.00133 0.000311 -4.28236 0.000448 -0.00198 -0.00068 -0.00198 -0.00068 Bachelor's -0.00016 5.46E-05 -3.00144 0.007661 -0.00028 -4.9E-05 -0.00028 -4.9E-05...
SUMMARY OUTPUT Regression Statistics Multiple R 0.84508179 R Square 0.714163232 Adjusted R Square 0.704942691 Standard Error...
SUMMARY OUTPUT Regression Statistics Multiple R 0.84508179 R Square 0.714163232 Adjusted R Square 0.704942691 Standard Error 9.187149383 Observations 33 ANOVA df SS MS F Significance F Regression 1 6537.363661 6537.363661 77.4535073 6.17395E-10 Residual 31 2616.515127 84.40371378 Total 32 9153.878788 Coefficients Standard Error t Stat P-value Lower 95% Upper 95% Lower 95.0% Upper 95.0% Intercept 61.07492285 3.406335763 17.92980114 6.41286E-18 54.12765526 68.02219044 54.12765526 68.02219044 Time (Y) -0.038369095 0.004359744 -8.800767426 6.17395E-10 -0.047260852 -0.029477338 -0.047260852 -0.029477338 Using your highlighted cells, what is the equation...
SUMMARY OUTPUT Regression Statistics Multiple R 0.993709623 R Square 0.987458816 Adjusted R Square 0.987378251 Standard Error...
SUMMARY OUTPUT Regression Statistics Multiple R 0.993709623 R Square 0.987458816 Adjusted R Square 0.987378251 Standard Error 514.2440271 Observations 471 ANOVA df SS MS F Significance F Regression 3 9723795745 3241265248 12256.7707 0 Residual 467 123496711.4 264446.9194 Total 470 9847292456 Coefficients Standard Error t Stat P-value Lower 95% Upper 95% Lower 95.0% Upper 95.0% Intercept -267.1127974 42.01832073 -6.357055513 4.8988E-10 -349.68118 -184.54441 -349.68118 -184.54441 Fuel cost (000,000) 0.449917223 0.098292092 4.577349137 6.0451E-06 0.25676768 0.64306676 0.25676768 0.64306676 Salary (000,000) -0.327915884 0.188252958 -1.741889678 0.08218614 -0.6978436...
SUMMARY OUTPUT Regression Statistics Multiple R 0.909785963 R Square 0.827710499 Adjusted R Square 0.826591736 Standard Error...
SUMMARY OUTPUT Regression Statistics Multiple R 0.909785963 R Square 0.827710499 Adjusted R Square 0.826591736 Standard Error 7.177298036 Observations 156 ANOVA df SS MS F Significance F Regression 1 38112.05194 38112.05194 739.8443652 1.09619E-60 Residual 154 7933.095493 51.5136071 Total 155 46045.14744 Coefficients Standard Error t Stat P-value Lower 95% Upper 95% Lower 95.0% Upper 95.0% Intercept 8.67422449 2.447697434 3.543830365 0.000522385 3.838827439 13.50962154 3.838827439 13.50962154 X Variable 1 0.801382837 0.029462517 27.20008024 1.09619E-60 0.743179986 0.859585688 0.743179986 0.859585688 (d) How much of the variation in...
SUMMARY OUTPUT Regression Statistics Multiple R 0.231960777 R Square 0.053805802 Adjusted R Square 0.034093423 Standard Error...
SUMMARY OUTPUT Regression Statistics Multiple R 0.231960777 R Square 0.053805802 Adjusted R Square 0.034093423 Standard Error 5272.980333 Observations 50 ANOVA df SS MS F Significance F Regression 1 75893113.09 75893113.09 2.729543781 0.105035125 Residual 48 1334607437 27804321.59 Total 49 1410500550 Coefficients Standard Error t Stat P-value Lower 95% Upper 95% Lower 99.0% Upper 99.0% Intercept 6396.894057 3281.342486 1.949474669 0.057094351 -200.6871963 12994.47531 -2404.335972 15198.12409 HSRANK 64.68225855 39.15075519 1.6521331 0.105035125 -14.03561063 143.4001277 -40.32805468 169.6925718 a. According to your estimate, what is the predicted...
SUMMARY OUTPUT Regression Statistics Multiple R 0.92585919 R Square 0.85721525 Adjusted R Square 0.84928276 Standard Error...
SUMMARY OUTPUT Regression Statistics Multiple R 0.92585919 R Square 0.85721525 Adjusted R Square 0.84928276 Standard Error 14.7134321 Observations 20 ANOVA df SS MS F Significance F Regression 1 23394.2185 23394.2185 108.063881 4.9013E-09 Residual 18 3896.73153 216.485085 Total 19 27290.95 Coefficients Standard Error t Stat P-value Lower 95% Upper 95% Lower 95.0% Upper 95.0% Intercept -260.93886 39.3752125 -6.626983 3.2026E-06 -343.66312 -178.21461 -343.66312 -178.21461 Height 5.92431175 0.56989864 10.3953779 4.9013E-09 4.72699913 7.12162438 4.72699913 7.12162438 RESIDUAL OUTPUT Observation Predicted Weight Residuals 1 106.368464 8.63153552...
SUMMARY OUTPUT Regression Statistics Multiple R 0.884651238 R Square 0.782607814 Adjusted R Square 0.601447658 Standard Error...
SUMMARY OUTPUT Regression Statistics Multiple R 0.884651238 R Square 0.782607814 Adjusted R Square 0.601447658 Standard Error 25.32612538 Observations 12 ANOVA df SS MS F Significance F Regression 5 13854.44091 2770.888181 4.319977601 0.051673038 Residual 6 3848.475761 641.4126268 Total 11 17702.91667 Coefficients Standard Error t Stat P-value Lower 95% Upper 95% Lower 95.0% Upper 95.0% Intercept -53.17436031 42.95203957 -1.237993838 0.261960445 -158.274215 51.92549434 -158.274215 51.92549434 Advertising ($1000s) 2.050813091 0.763960482 2.684449181 0.036320193 0.181469133 3.92015705 0.181469133 3.92015705 t (quarters) -4.047065728 2.779316427 -1.456137088 0.19560701 -10.84780803 2.753676575...
SUMMARY OUTPUT Regression Statistics Multiple R 0.870402 R Square 0.7576 Adjusted R Square 0.68488 Standard Error...
SUMMARY OUTPUT Regression Statistics Multiple R 0.870402 R Square 0.7576 Adjusted R Square 0.68488 Standard Error 1816.52 Observations 27 ANOVA df SS MS F Significance F Regression 6 2.06E+08 34376848 10.41804 2.81E-05 Residual 20 65994862 3299743 Total 26 2.72E+08 Coefficients Standard Error t Stat P-value Lower 95% Upper 95% Lower 95.0% Upper 95.0% Intercept -4695.4 12622.97 -0.37197 0.713825 -31026.5 21635.66 -31026.5 21635.66 AGE 161.7028 126.5655 1.277621 0.216015 -102.308 425.7137 -102.308 425.7137 MILAGE -0.03441 0.023186 -1.4842 0.153346 -0.08278 0.013953 -0.08278 0.013953...
SUMMARY OUTPUT Regression Statistics Multiple R 0.440902923 R Square 0.194395388 Adjusted R Square 0.165100675 Standard Error...
SUMMARY OUTPUT Regression Statistics Multiple R 0.440902923 R Square 0.194395388 Adjusted R Square 0.165100675 Standard Error 0.428710255 Observations 115 ANOVA df SS MS F Significance F Regression 4 4.878479035 1.219619759 6.635852231 8.02761E-05 Residual 110 20.21717314 0.183792483 Total 114 25.09565217 Coefficients Standard Error t Stat P-value Lower 95% Upper 95% Lower 95.0% Upper 95.0% Intercept 0.321875686 0.323939655 0.99362854 0.322584465 -0.320096675 0.963848047 -0.320096675 0.963848047 Gender -0.307211858 0.082630734 -3.717888514 0.000317832 -0.470966578 -0.143457137 -0.470966578 -0.143457137 Age 0.000724105 0.091134233 0.007945479 0.993674883 -0.179882553 0.181330763 -0.179882553 0.181330763...