Simple linear regression is one of the most often used tools for prediction of r

Question

Simple linear regression is one of the most often used tools for prediction of relationships between an independent and dependent variable. The regression formula provides a mechanism for predicting the value of a dependent variable for a given independent variable. Since it is a linear model, the important parameters or constants are the y-intercept, a, and the slope of the line, b (y = a + bx). If a = -6 and b = 14, which of the following statements is true? (Select one statement)

Explanation / Answer

The regression equation is

y' = -6+14x

A)

If we put x=5 we get

y' = -6 +14* 5 = 64

So it is false.

B)

If we put y=64 we get

64= -6 +14* x

x=5

So it is true.

C)

If we put x=10 we get

y' = -6 +14* 10 = 134

So it is false.

D)

It is false.

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