Consider the following sample data (Use Table 2): a. Find the sample regression

Question

Consider the following sample data (Use Table 2): a. Find the sample regression equation, y cap = b_0 + b_1x_1 + b_2x_2. (Negative values should be indicated by a minus sign. Round your answers to 2 decimal places.) y cap = + x_1 + x_2 b. Construct the 95% confidence interval for E(y) if x_1 equals 50 and x_2 equals 20. (Negative values should be indicated by a minus sign. Round your answers to 2 decimal places.) Confidence interval to c. Construct the 95% prediction interval for y if x_1 equals 50 and x_2 equals 20. (Negative values should be indicated by a minus sign. Round your answers to 2 decimal places.) Prediction interval to

Explanation / Answer

a) The simple regression equation is

y = -7.13302 - 1.8842 X1 + 5.173869 X2

b)

Given X1 = 50 and x2 = 20

The predict value of Y is Ycap = -7.13302 - 1.8842(50) + 5.173869 (20) =2.13

The 95% confidence interval of the E(Y) is (-25.27, 29.54)

c) The 95% prediction interval for y is (-26.33, 30.60)

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