RESEARCH METHODOLOGY

STATISTICAL TECHNIQUES AND TOOLS

REGRESSION

Question [CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]
Which is the best description of the y-intercept for the linear regression equation of the rats:weight^ = 100 + 40(time)?
A
The y-intercept is 100 which means the rat is predicted to weigh about 100 grams at birth.
B
The y-intercept is about 100, which is where the graph crosses the y-axis.
C
About 100 is where the data starts on the y-axis.
D
The y-intercept is about 40g. Indicating a significant amount of growth since birth.
Explanation: 

Detailed explanation-1: -Which is the best CONTEXTUAL description of the y-intercept for the linear regression equation of the rats: Weight = 100 + 40(Time)? The y-intercept is 100, which means the rat is predicted to weigh 100 grams at birth. The y-intercept is 100, which is where the graph crosses the y-axis.

Detailed explanation-2: -The difference between the actual y value and the predicted y value found using a regression equation is called the residual.

Detailed explanation-3: -The Importance of Intercept The intercept (often labeled as constant) is the point where the function crosses the y-axis. In some analysis, the regression model only becomes significant when we remove the intercept, and the regression line reduces to Y = bX + error.

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