The ols() method in statsmodels module is used to fit a multiple regression model using “Quality” as the response variable and “Speed” and “Angle” as the predictor variables. The output is shown...


The ols() method in statsmodels module is used to fit a multiple regression model using “Quality” as the response variable and “Speed” and “Angle” as the predictor variables. The output is shown below. A text version is available. What is the correct regression equation based on this output? What is the coefficient of determination? Select one.


OLS Regression Results<br>====<br>Dep. Variable:<br>Model:<br>Method:<br>Date:<br>Time:<br>No. Observations:<br>Df Residuals:<br>Df Model:<br>Covariance Type:<br>Quality<br>OLS<br>R-squared:<br>Adj. R-squared:<br>F-statistic:<br>Prob (F-statistic):<br>Log-Likelihood:<br>AIC:<br>0.978<br>0.975<br>332.2<br>3.80e-13<br>-21.142<br>48.28<br>50.95<br>Least Squares<br>Fri, 16 Aug 2019<br>12:49:37<br>18<br>15<br>2<br>nonrobust<br>ВIC:<br>сoef<br>std err<br>t<br>P>|t|<br>[0.025<br>0.975]<br>Intercept<br>Speed<br>Angle<br>0.5382<br>-1.9046<br>4.0280<br>0.473<br>0.176<br>0.178<br>1.137<br>-10.834<br>22.574<br>0.273<br>0.000<br>0.000<br>-0.471<br>-2.279<br>1.547<br>-1.530<br>4.408<br>3.648<br>Omnibus:<br>Prob(Omnibus):<br>skew:<br>Kurtosis:<br>4.358<br>0.113<br>0.082<br>1.637<br>Durbin-Watson:<br>Jarque-Bera (JB):<br>Prob(JB):<br>Cond. No.<br>2.121<br>1.414<br>0.493<br>14.4<br>Quality = 0.473 + 0.176 Speed + 0.178 Angle<br>coefficient of determination = 0.978<br>Quality = 0.5382 - 1.9046 Speed + 4.0280 Angle<br>coefficient of determination = 0.978<br>Quality = 0.473 + 0.176 Speed + 0.178 Angle<br>coefficient of determination = 332.2<br>Quality = 0.5382 -1.9046 Speed + 4.0280 Angle<br>coefficient of determination = 332.2<br>

Extracted text: OLS Regression Results ==== Dep. Variable: Model: Method: Date: Time: No. Observations: Df Residuals: Df Model: Covariance Type: Quality OLS R-squared: Adj. R-squared: F-statistic: Prob (F-statistic): Log-Likelihood: AIC: 0.978 0.975 332.2 3.80e-13 -21.142 48.28 50.95 Least Squares Fri, 16 Aug 2019 12:49:37 18 15 2 nonrobust ВIC: сoef std err t P>|t| [0.025 0.975] Intercept Speed Angle 0.5382 -1.9046 4.0280 0.473 0.176 0.178 1.137 -10.834 22.574 0.273 0.000 0.000 -0.471 -2.279 1.547 -1.530 4.408 3.648 Omnibus: Prob(Omnibus): skew: Kurtosis: 4.358 0.113 0.082 1.637 Durbin-Watson: Jarque-Bera (JB): Prob(JB): Cond. No. 2.121 1.414 0.493 14.4 Quality = 0.473 + 0.176 Speed + 0.178 Angle coefficient of determination = 0.978 Quality = 0.5382 - 1.9046 Speed + 4.0280 Angle coefficient of determination = 0.978 Quality = 0.473 + 0.176 Speed + 0.178 Angle coefficient of determination = 332.2 Quality = 0.5382 -1.9046 Speed + 4.0280 Angle coefficient of determination = 332.2
Jun 01, 2022
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