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: 18d

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

$ŷ=6-0.3x_1+1.7x_2+0.04x_1x_2$ - For $x_2=10$: $ŷ=6-0.3x_1+1.7\times10+0.04x_110=23+0.1x_1$ - For $x_2=20$: $ŷ=6-0.3x_1+1.7\times20+0.04x_120=40+0.5x_1$ - For $x_2=30$: $ŷ=6-0.3x_1+1.7\times30+0.04x_130=57+0.9x_1$ - For $x_1=40$: $ŷ=6-0.3\times40+1.7x_2+0.04\times40x_2=-6+3.3x_2$ - For $x_1=50$: $ŷ=6-0.3\times50+1.7x_2+0.04\times50x_2=-9+3.7x_2$ - For $x_1=60$: $ŷ=6-0.3\times60+1.7x_2+0.04\times60x_2=-12+4.1x_2$
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