If the coefficient correlations between two variables x and y is negative then regression coefficient of y on x is positive or negative
Answers
The answer is negative.
Given,
Negative coefficient correlation between x and y.
To Find,
Whether the regression coefficient is positive or negative.
Solution,
If the coefficient correlation between x and y is negative then the regression coefficient is also negative.
Regression Coefficient (r) = √bₓᵧ × √bᵧₓ
∴ If bₓᵧ and bᵧₓ are negative then the formula becomes :
r = - √bₓᵧ × √bᵧₓ
A regression correlation of -1 represents a perfectly negative correlation while a regression correlation of 1 indicates a perfect positive correlation.
Answer:
The increase in the first variable will cause the decrease in the second variable.
Explanation:
In a regression model where the intercept is negative implies that the model is overestimating on an average the y values thereby a negative correction in the predicted values is needed.
The constant term in linear regression analysis seems to be such a simple thing. Also known as the y intercept, it is simply the value at which the fitted line crosses the y-axis.
#SPJ2