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A professor of economics wants to study the relationship between income (y in $1000s) and education (x in years). A random sample eight individuals is taken and the results are shown below. Determine the standard error of estimate.
sr = ______________
Describe what this statistic tells you about the regression line.
____________________________
Determine the coefficient of determination.
R2 = ______________
Discuss what its value tells you about the two variables.
________________________________________________________
Calculate the Pearson correlation coefficient.
r = ______________
Why does it have the sign it has?
________________________________________________________
Conduct a test of the population slope to determine at the 5% significance level whether a linear relationship exists between years of education and income.
Test statistic:
t = ______________
Rejection Region:
Reject H0 if | t | > ______________
Conclusion:
______________
A linear relationship ______________ between years of education and income.
Assumption
A thing that is accepted as true or as certain to happen, without proof.
Justification
A reason or argument that explains why a particular action, belief, or statement is reasonable or necessary.
Premise
A prior assertion or claim from which another conclusion is drawn or follows logically.
Simp
Slang for someone who demonstrates excessive sympathy or attention towards another person, often without reciprocation.
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