Question

# A sociologist wishes to study the relationship between happiness and age. He interviews 24 individuals and...

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 = β0 + β1Age + 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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