Concept explainers
Thickness of dust on solar cells. The performance of a solar cell can deteriorate when atmospheric dust accumulates on the solar panel surface. In the International Journal of Energy and Environmental Engineering (December 2012). researchers at the Renewable Energy Research Laboratory. University of Lucknow (India), estimated the relationship between the dust thickness and the efficiency of a solar cell. The thickness of dust (in millimeters) collected on a solar cell was measured three times per month over a year-long period. Each time the dust thickness was measured, the researchers also determined the percentage difference (before minus after dust collection) in efficiency of the solar panel. Data (monthly averages) for the 10 months in which there was no rain are listed in the accompanying table.
a. Fit the linear model, y = β0 + β1x + ε, to the data where y = efficiency and x = average dust thickness.
b. Evaluate the model, statistically. Do you recommend using the model in practice?
Month | Efficiency (% change) | Average Dust Thickness (mm) |
January | 1.5666 | 0.00024 |
February | 1.9574 | 0.00105 |
March | 1.3707 | 0.00075 |
Apr« | 1.9563 | 0.00070 |
May | 1.6332 | 0.00142 |
June | 1.8172 | 0.00055 |
July | 0.9202 | 0.00039 |
October | 1.8790 | 0.00095 |
November | 1.5544 | 0.00064 |
December | 2.0198 | 0.00065 |
Want to see the full answer?
Check out a sample textbook solutionChapter 11 Solutions
Statistics for Business and Economics (13th Edition)
- What does the y -intercept on the graph of a logistic equation correspond to for a population modeled by that equation?arrow_forwardIs carbon dating? Why does it work? Give an example in which carbon dating would be useful.arrow_forwardThe US. import of wine (in hectoliters) for several years is given in Table 5. Determine whether the trend appearslinear. Ifso, and assuming the trend continues, in what year will imports exceed 12,000 hectoliters?arrow_forward
- Linear Algebra: A Modern IntroductionAlgebraISBN:9781285463247Author:David PoolePublisher:Cengage LearningFunctions and Change: A Modeling Approach to Coll...AlgebraISBN:9781337111348Author:Bruce Crauder, Benny Evans, Alan NoellPublisher:Cengage Learning
- Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage