?6 CQQ The exercises are based on the following sample data obtained from different second-year medical students who took blood pressure measurements of the same person (based on data from Marc Triola, MD). S y s t o l i c D i a s t o l i c True or false: If there is no linear correlation between systolic and diastolic blood pressure, then those two variables are not related in any way.
Solution 6 CQQ Step 1 : The given data is based on the second year medical students who took blood pressure measurements of the same person The claim is to test whether any linear relationship exists between systolic blood pressure and diastolic blood pressure The recordings are shown in the below table S y s 1 1 1 1 1 t 3 3 3 4 2 o 8 0 5 0 0 l i c D i a 1 1 8 9 8 s 0 0 2 1 0 t 0 0 o l i c Step 2 : Following are the steps to analyze correlation and regression from Stat Disk . Enter the dataset in stat disk AnalysisCorrelation and regression. . Choose level of significance evaluate By using Minitab . Enter the dataset in Mini tab Statisticsregression regression . Double click on response variable and predictor variable OK Step 4 : The value of correlation r = 0.5853 The regression line is given by D= -1.99 + 0.698 x S Let , S = Systolic blood pressure which is the independent variable, D = Predicted value of the diastolic blood pressure which is dependent. The critical value is = ± 0.8783 The P-Value is 0.300 which is greater than the level of significance = 0.05. We are not significant to conclude that there is a linear relationship between the diastolic and the systolic blood pressure. The correlation value is 0.5853 is lies within the critical value, so there is no correlation between the variables