MCQ IN COMPUTER SCIENCE & ENGINEERING

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COMPUTER SCIENCE AND ENGINEERING

MACHINE LEARNING

Question [CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]
Consider a simple linear regression model with one independent variable (X). The output variable is Y. The equation is:Y=aX+b, where a is the slope and b is the intercept. If we change the input variable (X) by 1 unit, by how much output variable (Y) will change?
A
1 unit
B
By slope
C
By intercept
D
None
Explanation: 

Detailed explanation-1: -A linear regression line has an equation of the form Y = a + bX, where X is the explanatory variable and Y is the dependent variable.

Detailed explanation-2: -The slope of a regression line determines the change in the variable Y (dependent variable) for one unit change in the variable X (independent variable). On the other hand, the Y-intercept denotes the point where the regression line crosses the Y-axis for X=0 . a. there is a positive correlation between X and Y.

Detailed explanation-3: -The simplest deterministic mathematical relationship between two variables x and y is a linear relationship: y = 0 + 1 x.

Detailed explanation-4: -The Linear Regression Equation The equation has the form Y= a + bX, where Y is the dependent variable (that’s the variable that goes on the Y axis), X is the independent variable (i.e. it is plotted on the X axis), b is the slope of the line and a is the y-intercept.

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