[See Steps] One widely held belief of observers of the business world is that taller people earn more money than shorter people. In a University of Pittsburgh
Question: One widely held belief of observers of the business world is that taller people earn more money than shorter people. In a University of Pittsburgh study MBA graduates were polled and asked to report their annual income and their height. The data can be found in the Excel file named ‘Datafile-IN6’. The first column is height in inches and the second column is income in dollars.
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Using Excel, find the regression line and interpret the slope coefficient. Give a 95% confidence interval for the slope. What is the p-value for testing whether the true slope is 0?
Coefficients Standard Error t Stat P-value Lower 95% Upper 95% Intercept 27343.5 23916.51 1.14329 0.262955 -21729.1 76416.12 Height 652.9031 343.382 1.90139 0.067973 -51.6585 1357.465
The regression line is:
Income = 27343.5 + 652.9031*Height
The 95% CI for the slope is (-51.6585, 1357.465). The p-value for testing whether the true slope is 0 is p = 0.067972874. - Predict the income of a graduate who is 6 foot 1 inch.
- What is the expected difference in the income between someone who is 6 foot 1 inch and someone who is 5 foot 10in?
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