Does electricity consumption increase with square footage? Conduct a linear regression test to find out. Your response
Question:
Does electricity consumption increase with square footage? Conduct a linear regression test to find out. Your response variable is ELCNS and the explanatory variable is SQFT.
You must complete the following:
Plot a scatterplot of these two variables (on appropriate axes). Are the conditions for fitting a simple linear model reasonably met? If not, what condition(s) is/are broken?
Correlation Test: Find the correlation between the two variables
- State the hypotheses
- Conduct the test
- Report the correlation coefficient value
- Report the p-value
- State your conclusion including the significance level you are using
Slope Test: Regardless of your answer in 2.1 above, fit the appropriate simple linear model.
- State the hypotheses for testing the significance of the slope
- Conduct the test
- Report the slope value
- Report the p-value
- State your conclusion including the significance level you are using
Find the R2 value. Interpret this value in terms of the ability of the model to explain the variance in the data (e.g., "goodness-of-fit").
Find the F-statistic and the p-value. Is there evidence that the model is effective?
Making Predictions: Suppose you are planning to build a 2,500,000 ft2 building and a 30,000 ft2 building.
- What is the predicted electricity consumption for both of these buildings?
- What is the 95% prediction interval for both buildings?
Understandable Statistics Concepts And Methods
ISBN: 9781337119917
12th Edition
Authors: Charles Henry Brase, Corrinne Pellillo Brase