Question
In the equation for linear regression $Y= a+b X$, $b$ stands for-
The correct answer is
Regression coefficient
Linear Regression Equation Analysis
The equation for linear regression is given as $Y = a + bX$. This equation describes the relationship between a dependent variable ($Y$) and an independent variable ($X$).
- $Y$: Represents the dependent variable.
- $X$: Represents the independent variable.
- $a$: Represents the Y-intercept. This is the value of $Y$ when $X=0$.
- $b$: Represents the slope of the regression line.
Understanding the Regression Coefficient 'b'
The coefficient $b$ quantifies the change in the dependent variable ($Y$) for each one-unit increase in the independent variable ($X$). It is formally known as the regression coefficient or the slope.
In the context of the given equation $Y = a + bX$, the term $b$ specifically denotes the Regression coefficient.
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Important Questions from Correlation and Regression
- For testing the significance of overall regression the test to be used is
- Including relevant lagged values of the dependent variable on the right hand side of a regression equation could lead to which one of the following ?
- If OLS is used in the presence of auto-correlation, which of the following will be likely consequences ?
i. Coefficients estimates may be misleading.
ii. Hypothesis tests could reach the wrong conclusions.
iii. Forecasts made from the model could be biased.
iv. Standard errors may be inappropriate. - Regression analysis is of particular interest
- Which of the following can be linked with those providing method for estimating black money in India ?
I. Kaldor’s approach
II. NIPFP method
III. O.P. Chopra’s method
IV. Arjun Sengupta
Codes :
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