The statsmodels ols) method is used on a cars dataset to fit a multiple regression model using Quality as the response variable. Speed and Angle are used as predictor variables. The general form of this model is: Y - P. - P,Speed + Pzdngle If the level of significance, alpha, is 0.10, based on the output shown, is Angle statistically significant in the multiple regression model shown above? Select one. A text version of this output is available. OLS Regression Results Dep. Variable: Model: Method: Date: Time: Quality OLS R-squared: Adj. Rsquared: F-statistic: Prob (F-statistic): Log-Líkelihood: ATČ: 0.978 0.975 332.2 3.80e-13 -21.142 48.28 50.95 Least Squares Sun, 18 Aug 2019 l1:39:31 No. observations: of Residuals: 18 15 BIC: Covariance Type: nonrobust coef std err P>It| [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 3.648 1. 547 1.530 4.408 Ouni bus: Prob(Omnibus): skew: Kurtosis: 4.358 0.113 0.082 1.637 Durbin-Natson: Jarque-Rera (JR): Prob(JB): 2.121 1.414 0.493 14.4 Cond. No. O Null Hypothesis „, =0 Alternative Hypothesis #, A +0 P-value - 4.0280 Since the P-value is greater than the level of significance, alpha, reject the null hypothesis. Conclude that the estimate for the Angle parameter is non-zero. Therefore, Angle is statistically significant in the multiple regression model. O Null Hypothesis M,: B=0 Alternative Hypothesis A +0 P-value = 0.000 Since the P-value is less than the level of significance, alpha, reject the null hypothesis. Conclude that the estimate for the Angle parameter is non-zero. Therefore, Angle is statistically significant in the multiple regression model. O Null Hypothesis H,: 2=0 Alternative Hypothesis A +0 P-value = 4.0280 Since the P-value is greater than the level of significance, alpha, do not reject the null hypothesis. Conclude that the estimate for the Angle parameter is zero. Therefore, Angle is not statistically significant in the multiple regression model. O Null Hypothesis #;: 2=0 Alternative Hypothesis #: +0 P-value = 0.000 Since the P-value is less than the level of significance, alpha, do not reject the null hypothesis. Conclude that the estimate for the Angle parameter is zero. Therefore, Angle is not statistically significant in the multiple regression model.
Correlation
Correlation defines a relationship between two independent variables. It tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.
Linear Correlation
A correlation is used to determine the relationships between numerical and categorical variables. In other words, it is an indicator of how things are connected to one another. The correlation analysis is the study of how variables are related.
Regression Analysis
Regression analysis is a statistical method in which it estimates the relationship between a dependent variable and one or more independent variable. In simple terms dependent variable is called as outcome variable and independent variable is called as predictors. Regression analysis is one of the methods to find the trends in data. The independent variable used in Regression analysis is named Predictor variable. It offers data of an associated dependent variable regarding a particular outcome.
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