RESEARCH METHODOLOGY

STATISTICAL TECHNIQUES AND TOOLS

REGRESSION

Question [CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]
The regression formula of
A
Y is-2.4 if X = 1
B
Y-intercept is-0.6.
C
X is dependent to Y.
D
the slope is downward.
Explanation: 

Detailed explanation-1: -For paired data (x, y) we denote the standard deviation of the x data by sx and the standard deviation of the y data by sy. The formula for the slope a of the regression line is: a = r(sy/sx)

Detailed explanation-2: -If the slope is negative, y decreases as x increases and the function runs downhill. If the slope is zero, y does not change, thus is constant-a horizontal line.

Detailed explanation-3: -The regression equation X on Y is X = c + dy is used to estimate value of X when Y is given and a, b, c and d are constant. Y = a + bx can also be interpreted as ‘a’ is the average value of Y when X is zero. X = c + dy, value c is the average value of X, when Y is zero.

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