Consider the following model: (See attachment) A. Provide an interpretation of t

Question

Consider the following model: (See attachment)
A. Provide an interpretation of the coefficient of X1
B. Is the interpretation provided in part a true regardless of the value of X2? Explain.
C. Now consider the model: (see attachment). Let x2 = 1. Give an interpretation of the coefficient of x1 when x2 = 1.
D. Repeat parts see when X2 = 2. Is the interpretation provided import a true regardless of the value of X2? Explain.
E. Considering your answers to parts c and d, what type of regression components has conditional interpretations? tut uicTnouel is apt! 15-65, Consider the following model y 5 + 3x15x2 a. Provide an interpretation of the coefficient of x b. Is the interpretation provided in part a true c. Now consider the model5 x 5x2 4x2. Give an interpretation of the coefficient of x, when d. Repeat part c when X2-2, is the interpretation regardless of the value of x2? Explain Let x2-1. x2 = 1. provided in part a true regardless of the value of x2? Explain. e. Considering your answers to parts c and d, what type of regression components has conditional interpretations?

Explanation / Answer

given everything else constant one unit rise in x1 leads t 3 units rise in y

2)

the interprettion is true as an assumption of ols is that the x are independent and there are no interation effects

3)

at x2 =1

y = 5+3x1+5+4x1 = 8+7x1

one unit rise in x1 given x2=1 leads to 7 unit rise in y

at x2 = 2

y = 5+3x1+10+8x1 = 15 +11x1

for one unit rise in x1 given x2=2 y increases by 11

d)

no both are different due to interaction effects

e)

interaction varaibles give different interpration for canges in the independent variable

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