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.
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.
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
====
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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe7c098e8-a055-46a5-964b-ab0cc684192c%2Ff73f150b-039b-41af-8dc1-ab49c6229e10%2Fxote67e_processed.png&w=3840&q=75)
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