A sociologist wishes to study the relationship between happiness
and age. He interviews 24 individuals and collects data on age and
happiness, measured on a scale from 0 to 100. He estimates the
following model: Happiness = β_{0} +
β_{1}Age + ε. The following
table summarizes a portion of the regression results.
Coefficients | Standard Error | t-stat | p-value | |
Intercept | 56.1779 | 5.2135 | 10.7755 | 0.0000 |
Age | 0.2857 | 0.0914 | 3.1258 | 0.003 |
The estimate of Happiness for a person who is 55 years old
is the closest to ______
a 72
b 59
c 75
d 65
A sociologist wishes to study the relationship between happiness and age.
He interviews 24 individuals, and collects data on age and happiness, measured on a scale from 0 to 100.
From the summary statistic table, we can say that the regression equation is
Where, x is the age and y is the predicted happiness index.
Now, some person has age 55.
So, x = 55.
So, this happiness index is closest to 72.
So, the correct answer is option (a) 72.
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