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Can Someone Please Help With This Exponential Regression Question?

Can Someone Please Help With This Exponential Regression Question class=

Sagot :

Answer:

Year(x) Predicted (ym) Residual(yd - ym)

1 39 0.135

2 49 -1.097

3 66 1.426

4 84 0.764

5 106 -1.292

Step-by-step explanation:

The formula for predicted (y_m) is given by the function;

f(x) = 30.151(1.289)^(x)

At x = 1;

y_m = 30.151(1.289)^(1)

y_m = 38.865

y_d - y_m = 39 - 38.865 = 0.135

At x = 2;

y_m = 30.151(1.289)^(2)

y_m = 50.097

y_d - y_m = 49 - 50.097 = -1.097

At x = 3;

y_m = 30.151(1.289)^(3)

y_m = 64.574

y_d - y_m = 66 - 64.574 = 1.426

At x = 4;

y_m = 30.151(1.289)^(4)

y_m = 83.236

y_d - y_m = 84 - 83.236 = 0.764

At x = 5;

y_m = 30.151(1.289)^(5)

y_m = 107.292

y_d - y_m = 106 - 107.292 = -1.292