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 = Bo + B1Age + ɛ. The following table summarizes a portion of the regression results. Standard Coefficients Error t-stat p-value Intercept 56.1797 5.2154 10.7719 0.0000 Age 0.2874 0.0841 3.4174 0.0041 At the 10% significance level, which of the following is the correct confidence interval of the regression coefficient ß1? Multiple Choice (0.1230, 0.4318] (0.1230, 0.1570) (0.1430, 0.4318] (0.1430, 0.1570)

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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 = Bo + B1Age + e. The following table summarizes a portion of
the regression results.
Standard
Coefficients
Error
t-stat
p-value
Intercept
56.1797
5.2154
10.7719
0.0000
Age
0.2874
0.0841
3.4174
0.0041
At the 10% significance level, which of the following is the correct confidence interval of the regression coefficient B1?
Multiple Choice
(0.1230, 0.4318]
[0.1230, 0.1570]
(0.1430, 0.4318]
(0.1430, 0.1570]
Transcribed Image Text: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 = Bo + B1Age + e. The following table summarizes a portion of the regression results. Standard Coefficients Error t-stat p-value Intercept 56.1797 5.2154 10.7719 0.0000 Age 0.2874 0.0841 3.4174 0.0041 At the 10% significance level, which of the following is the correct confidence interval of the regression coefficient B1? Multiple Choice (0.1230, 0.4318] [0.1230, 0.1570] (0.1430, 0.4318] (0.1430, 0.1570]
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