eek (US $) () Consumption per week (US $) (Y) 55, 60, 65, 70, 75 65, 70, 74, 80, 85, 88, 79, 84, 90, 94, 98 80, 93, 95, 103, 108, 113, 115 102, 107, 110, 116, 118, 125 110, 115, 120, 130, 135, 140 120, 136, 140, 144, 145 135, 137, 140, 152, 157, 160, 162 137, 145, 155, 165, 175, 189 150, 152, 175, 178, 180, 185, 191 i, calculate the conditional expectation of Y: E(Y| Xi) cattergram, with income being X-axis, consumption bein (Y | Xi) on the above figure different representations of PRF and SRF. (1ik

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 24PPS
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1. Table 1 is the data for the per week household consumption Y and
income X in the US.
Table 1 data for household consumption and income
Income per week (US $) (X)
Consumption per week (US $) (Y)
80
55, 60, 65, 70, 75
100
65, 70, 74, 80, 85, 88,
120
79, 84, 90, 94, 98
140
80, 93, 95, 103, 108, 113, 115
160
102, 107, 110, 116, 118, 125
180
110, 115, 120, 130, 135, 140
200
120, 136, 140, 144, 145
220
135, 137, 140, 152, 157, 160, 162
240
137, 145, 155, 165, 175, 189
260
150, 152, 175, 178, 180, 185, 191
a. For each Xi, calculate the conditional expectation of Y: E(Y| Xi)
b. draw the scattergram, with income being X-axis, consumption being
Ү-аxis.
c. Draw the E(Y| Xi) on the above figure
d. Write
the
different
representations
of
PRF
and
SRF. (like
Y, = b, +b,X, +u,, E(Y|X = X,)=b, +b,X,, etc.)
Transcribed Image Text:1. Table 1 is the data for the per week household consumption Y and income X in the US. Table 1 data for household consumption and income Income per week (US $) (X) Consumption per week (US $) (Y) 80 55, 60, 65, 70, 75 100 65, 70, 74, 80, 85, 88, 120 79, 84, 90, 94, 98 140 80, 93, 95, 103, 108, 113, 115 160 102, 107, 110, 116, 118, 125 180 110, 115, 120, 130, 135, 140 200 120, 136, 140, 144, 145 220 135, 137, 140, 152, 157, 160, 162 240 137, 145, 155, 165, 175, 189 260 150, 152, 175, 178, 180, 185, 191 a. For each Xi, calculate the conditional expectation of Y: E(Y| Xi) b. draw the scattergram, with income being X-axis, consumption being Ү-аxis. c. Draw the E(Y| Xi) on the above figure d. Write the different representations of PRF and SRF. (like Y, = b, +b,X, +u,, E(Y|X = X,)=b, +b,X,, etc.)
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