Uploaded April 2012 | Updated September 2026, 2 hours ago
I have an updated and revised (slower and otherwise improved) version of this video available at: youtube.com/watch?v=xIDjj6ZyFuw
I work through an example relating eggshell thickness to DDT concentration, fitting the least squares line, using the line for prediction, interpreting the coefficient of determination, checking the residual plots and carrying out a test on the slope.
The data used is from:
Risebrough, R. (1972). Effects of environmental pollutants upon animals other than man. In Proceedings of the Sixth Berkeley Symposium on Mathematical Statistics and Probability.
I have an updated and revised (slower and otherwise improved) version of this video available at: youtube.com/watch?v=xIDjj6ZyFuw
I work through an example relating eggshell thickness to DDT concentration, fitting the least squares line, using the line for prediction, interpreting the coefficient of determination, checking the residual plots and carrying out a test on the slope.
The data used is from:
Risebrough, R. (1972). Effects of environmental pollutants upon animals other than man. In Proceedings of the Sixth Berkeley Symposium on Mathematical Statistics and Probability.

![Finding the Appropriate z Value for the Confidence Interval Formula (Using a Table)
I show how to find the appropriate z value (using the standard normal table) when calculating a confidence interval. The version of the table used in this video gives the area to the left of the z value (and not the area between 0 and z).
For those that use R, below is the R code to find the values (see the video for illustrations).
z value for a 95% interval:
qnorm(.975)
[1] 1.959964
z value for a 75% interval:
qnorm(.875)
[1] 1.150349 Finding the Appropriate z Value for the Confidence Interval Formula (Using a Table)](https://i.ytimg.com/vi/grodoLzThy4/mqdefault.jpg)





![Introduction to the Continuous Uniform Distribution
A brief introduction to the (continuous) uniform distribution. I discuss its pdf, median, mean, and variance. I also work through an example of finding a probability and a percentile. I dont do any integration in this video.
For those using R, here is the R code to find the probabilities for the examples in this video:
P(X greater than 230) where X is U(200,250):
1-punif(230,200,250)
[1] 0.4
(punif yields the area to the *left*, and here we need the area to the *right*)
20th percentile of a U(200,250) distribution:
qunif(.2,200,250)
[1] 210 Introduction to the Continuous Uniform Distribution](https://i.ytimg.com/vi/izE1dXrH5JA/mqdefault.jpg)
![An Introduction to the Poisson Distribution
An introduction to the Poisson distribution. I discuss the conditions required for a random variable to have a Poisson distribution. work through a simple calculation example, and briefly discuss the relationship between the binomial distribution and the Poisson distributions.
Plutonium-239 example (an average of 2.3 radioactive decays per second).
Finding the probability of exactly 3 radioactive decays in a 2 second period:
dpois(3,2*2.3)
[1] 0.1630676
Finding the probability of no more than 3 radioactive decays in a 2 second period:
dpois(0,2*2.3)+dpois(1,2*2.3)+dpois(2,2*2.3)+dpois(3,2*2.3)
[1] 0.3257063
or
ppois(3,2*2.3)
[1] 0.3257063 An Introduction to the Poisson Distribution](https://i.ytimg.com/vi/jmqZG6roVqU/mqdefault.jpg)

