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If the intercept value of a linear regression model is 40, the slope value is 2, and the value of X is 40, which of the following is the resulting forecast value using this model?

a. 120
b. 1,600
c. 1,640
d. 3,200
d. None of the above

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Answer:

a. 120

Explanation:

The forecast for a linear regression model has a general equation of:

[tex]Y(x) = mx+c[/tex]

Where 'm' is the slope and 'c' is the intercept.

If m = 2, c = 40 and x = 40, then the forecast value is determined by:

[tex]Y(40) = 2*40+40\\Y(40) = 120[/tex]

The resulting forecast value is 120, the answer is alternative a. 120.

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