Statistics: Informed Decisions Using Data (4th Edition)

Published by Pearson
ISBN 10: 0321757270
ISBN 13: 978-0-32175-727-2

Chapter 14 - Section 14.3 - Assess Your Understanding - Vocabulary and Skill Building - Page 721: 17d

Answer

See the picture. Now, the slope of the lines changes as $x_2$, in first case, or $x_1$, in the second case, change.

Work Step by Step

$ŷ=4+0.4x_1-1.3x_2+0.05x_1x_2$ - For $x_2=10$: $ŷ=4+0.4x_1-1.3\times10+0.05x_110=-9+0.9x_1$ - For $x_2=20$: $ŷ=4+0.4x_1-1.3\times20+0.05x_120=-22+1.4x_1$ - For $x_2=30$: $ŷ=4+0.4x_1-1.3\times30+0.05x_130=-35+1.9x_1$ - For $x_1=40$: $ŷ=4+0.4\times40-1.3x_2+0.05\times40x_2=20+0.7x_2$ - For $x_1=50$: $ŷ=4+0.4\times50-1.3x_2+0.05\times50x_2=24+1.2x_2$ - For $x_1=60$: $ŷ=4+0.4\times60-1.3x_2+0.05\times60x_2=28+1.7x_2$
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