According to an article, one may be able to predict an individual's level of support for ecology based on demographic and ideological characteristics. The multiple regression model proposed by the authors was the following. y = 3.60-.01x₁+.01x2-.07x3+.127+.02x5-.04.16-.01.27 -.04xs-.02x9+€ The variables are defined as follows. y = ecology score (higher values indicate a greater concern for ecology) X₁ = age times 10 x₂ = income (in thousands of dollars) x3 = gender (1 = male, 0 = female) X4 = race (1 = white, 0 = nonwhite) X5 = education (in years) x6 = ideology (4 = conservative, 3 = right of center, 2 = middle of the road, 1 = left of center, and 0 = liberal) X7 = social class (4 = upper, 3 = upper middle, 2 = middle, 1 = lower middle, 0 = lower) x8 = postmaterialist (1 if postmaterialist, 0 otherwise) x9 = materialist (1 if materialist, 0 otherwise) (a) Suppose you knew a person with the following characteristics: a 30 year old, white female with a college degree (20 years of education), who has a $39,000 per year job, is from the upper middle class and considers herself left of center, but who is neither a materialist nor a postmaterialist. Predict her ecology score. 393.76 x (b) If the woman described in Part (a) were Hispanic rather than white, what would be the prediction?
According to an article, one may be able to predict an individual's level of support for ecology based on demographic and ideological characteristics. The multiple regression model proposed by the authors was the following. y = 3.60-.01x₁+.01x2-.07x3+.127+.02x5-.04.16-.01.27 -.04xs-.02x9+€ The variables are defined as follows. y = ecology score (higher values indicate a greater concern for ecology) X₁ = age times 10 x₂ = income (in thousands of dollars) x3 = gender (1 = male, 0 = female) X4 = race (1 = white, 0 = nonwhite) X5 = education (in years) x6 = ideology (4 = conservative, 3 = right of center, 2 = middle of the road, 1 = left of center, and 0 = liberal) X7 = social class (4 = upper, 3 = upper middle, 2 = middle, 1 = lower middle, 0 = lower) x8 = postmaterialist (1 if postmaterialist, 0 otherwise) x9 = materialist (1 if materialist, 0 otherwise) (a) Suppose you knew a person with the following characteristics: a 30 year old, white female with a college degree (20 years of education), who has a $39,000 per year job, is from the upper middle class and considers herself left of center, but who is neither a materialist nor a postmaterialist. Predict her ecology score. 393.76 x (b) If the woman described in Part (a) were Hispanic rather than white, what would be the prediction?
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.3: Least Squares Approximation
Problem 31EQ
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Transcribed Image Text:According to an article, one may be able to predict an individual's level of support for ecology based on demographic and ideological characteristics. The multiple
regression model proposed by the authors was the following.
y = 3.60-.01.x₁ +.01.x2-.07x3+.12x4+.02xs-.04x6-.01x7.04x8-.02xg+e
The variables are defined as follows.
y = ecology score (higher values indicate a greater concern for ecology)
x₁ = age times 10
x₂ = income (in thousands of dollars)
x3 = gender (1 = male, 0 = female)
X4 = race (1 = white, 0 = nonwhite)
X5 = education (in years)
x6 = ideology (4 = conservative, 3 = right of center, 2 = middle of the road, 1 = left of center, and 0 = liberal)
X7 = social class (4 = upper, 3 = upper middle, 2 = middle, 1 = lower middle, 0 = lower)
x8 = postmaterialist (1 if postmaterialist, 0 otherwise)
x9 = materialist (1 if materialist, O otherwise)
(a) Suppose you knew a person with the following characteristics: a 30 year old, white female with a college degree (20 years of education), who has a
$39,000 per year job, is from the upper middle class and considers herself left of center, but who is neither a materialist nor a postmaterialist. Predict her
ecology score.
393.76
(b) If the woman described in Part (a) were Hispanic rather than white, what would be the prediction?
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