Box Plot and Histogram for Success Rate Using ART
The ART Program of Alabama Statistical Information provides a data table summary of success rates. Can you make out a trend that concerns the effect of age on success rates? What do you think you will find in the regression analysis?
In this section, you can examine an analysis of the ART data.
The following graph shows the distribution (box plot and histogram) of the success rate of ART procedures for embryos that are formed when the prospective mother uses her own eggs.
Box Plot and Histogram for Success Rate Using ART
The following table shows the result of a simple regression analysis on the data.
Regression Analysis for rate versus age
----------------------------------------------------------------------- Model type: Linear ----------------------------------------------------------------------- Equation: rate = 77.4573 - 1.51885*age ----------------------------------------------------------------------- Coefficient Estimate Std. Error t-value P-value ----------------------------------------------------------------------- Intercept 77.4573 4.50004 17.2126 1.0E-4 Slope -1.51885 0.119377 -12.7231 1.0E-4 ----------------------------------------------------------------------- Correlation = -0.9357 R-squared = 87.56% Std. error of est. = 4.30419
The output shows the results of fitting a linear model to describe the
relationship between rate and age. The equation of the fitted model is
rate = 77.4573 - 1.51885*age
Since the P-value for the slope is less than 0.05, there is a
statistically significant relationship between rate and age at the
95.0% confidence level.
The R-Squared statistic indicates that the model as fitted explains 87.56% of the variability in rate. The correlation coefficient equals -0.9357, indicating a relatively strong relationship between the variables.
In the regression plot, you can see the regression line drawn through the data.
What do you think? Is there an effect of age on a successful ART procedure?