There is a significant difference between the peak flow of the asthma patients before treatment and the peak flow of the asthma patients after treatment, t(39) = - 9.272, p = .000.
Correlation analysis is a statistical method to discover the association between two continuous variables and to check how strong their relationship may be.
Workers with a high injury-related proportionate mortality very likely have lower proportionate mortalities for chronic or disabling conditions that keep people out of the workforce.
The death to case ratio is the number of deaths attributed to a particular disease during a specified time period divided by the number of new cases of that disease identified during the same time period.
Advantages of Pearson correlation coefficient include a simple way to assess association between two variables and it cannot identify relationships that are not linear.
Disadvantages of Pearson correlation coefficient include it may show a correlation of zero if not linear and it may not be able to identify whether the relationship is positive or negative.
Assumptions for Regression analysis include the dependent and independent variable should be measured at the continuous level, there should be a linear relationship between the two variables, there should be no significant outliers, there should be independence of observations, the data needs to show homoscedasticity, and the residuals (errors) of the regression line should be approximately normally distributed.
Steps in SPSS for predicting response Y from value of predictor X include clicking Analyze > Regression > Linear, transferring the independent variable (income) into the Independent(s) box, and the dependent variable (price) into the dependent box, changing the options for the Statistics and Plot buttons, and clicking OK to generate the results.
Outputs in SPSS include a table providing the R and R2 values, indicating how well the regression equation fits the data, and indicating that the regression model predicts the dependent variable significantly well.
In Laboratory Correlation Analysis, the salesperson for a large car brand uses SPSS to determine whether there is a relationship between an individual's income and the price they pay for a car.
Examples of predicting response Y from value of predictor X include understanding whether exam performance can be predicted based on revision time, understanding whether cigarette consumption can be predicted based on smoking duration, and understanding whether blood pressure can be predicted based on drug dosage.