The report "Airline Quality Rating" included the accompanying data on the on-time arrival percentage and the number of complaints files per 100,000 passengers. The report did not include data on the number of complaints for two of the airlines. On-Time arrival Complaints per 100,000 Airline Percentage Passengers Alaska American Delta Envoy Air Express Jet 71 2.6 90 0.4 81 2.2 90 0.4 79 1.5 Frontier 74 0.9 Hawaiian 78 2.8 JetBlue Sky West Southwest 76 2.2 77 2.8 82 0.8 Spirit United Virgin America 79 0.8 83 Not reported 95 Not reported a. Find the least squares regression line to find out the complaints per 100,000 passengers knowing the on-time arrival percentage. b. Find the sum of squared deviations about the regression line. c. Can we predict the number of complaints per 100,000 passengers for Spirit? Why? d. Can we predit the number of complaints per 100,000 passengers for Virgin America? Why?
Correlation
Correlation defines a relationship between two independent variables. It tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.
Linear Correlation
A correlation is used to determine the relationships between numerical and categorical variables. In other words, it is an indicator of how things are connected to one another. The correlation analysis is the study of how variables are related.
Regression Analysis
Regression analysis is a statistical method in which it estimates the relationship between a dependent variable and one or more independent variable. In simple terms dependent variable is called as outcome variable and independent variable is called as predictors. Regression analysis is one of the methods to find the trends in data. The independent variable used in Regression analysis is named Predictor variable. It offers data of an associated dependent variable regarding a particular outcome.
The report “airline Quality rating 2016” (www
.airlinequalityrating.com/reports/2016_aQr_Final.pdf,
retrieved april 22, 2017) included the accompanying data on
the on-time arrival percentage and the number of complaints
files per 100,000 passengers for U.S. airlines.
The report did not include data on the number of complaints
for two of the airlines. Use the given data from the other
airlines to fit the least squares regression line and use it to
predict the number of complaints per 100,000 passengers
for Spirit and for Virgin America.
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