R Commands

### Basic R Operations

- Data Frames in R Basics of the
`data.frame`data type in R. - The Tilde Operator Using the
`~`operator in R.

### Plotting Statistical Graphs with R

- A stem-and-leaf plot with R. A stem-and-leaf plot of Babe Ruth's career home runs.
- Box plots with R. Side-by-side box plots comparing the career home runs of Ruth, Bonds, and DiMaggio.
- Constructing Histograms with R. Constructing histograms.
- Constructing Pie Charts with R. Constructing pie charts.
- Constructing Time Series Plots with R. Constructing time series plots.
- Scatter Plots with R. A scatter plot of work done and training stress score.

### Summary Statistics with R

- Computing the Five-Number Summary with R. The mean and five-number summary of Babe Ruth's career home runs.
- Computing the Sample Mean with R. The sample mean of Babe Ruth's career home runs.
- Computing the Sample Standard Deviation with R. The sample standard deviation of Babe Ruth's career home runs.

### Hypothesis Testing with R

- Hypothesis Testing with Known Standard Deviation using R. Hypothesis testing with known standard deviation.
- Hypothesis Testing with Unknown Standard Deviation using R. Hypothesis testing with unknown standard deviation.
- Hypothesis Testing for a Population Proportion using R. Hypothesis testing for a population proportion.
- Hypothesis Tesing for the Difference of two Proportions Hypothesis testing for the difference of two proportions.
- Hypothesis Testing for the Difference of Two Population Means Testing for the difference of two sample means.
- One-Way Analysis of Variance Using R for one-way analysis of variance.

### Estimating with Confidence with R

- Calculating Confidence Intervals with Known Standard Deviation using R. Calculating confidence intervals with known standard deviation.
- Calculating Confidence Intervals with Unknown Standard Deviation using R. Calculating confidence intervals with unknown standard deviation.
- Calculating Confidence Intervals for a Population Proportion Calculating a confidence interval for a population proportion.
- Confidence Interval for the Difference Between Means
- Confidence Interval for the Difference Between Proportions

### Regression with R

- Scatter Plots with R. A scatter plot of work done and training stress score.
- Computing Correlation with R. The correlation between work done and training stress score.
- Linear Regression with R. The least-squares regression line for work done and training stress score.

### Probabilities with R

- Binomial Probabilities with R Calculating binomial probabilities.
- Plotting Binomial Distributions with R Plotting a binomial distribution.
- Computing Normal Probabilities Computing normal probabilities for a given mean and standard deviation.
- Plotting a Normal Distribution Plotting a normal distribution with a given mean and standard deviation.
- Inverting a Normal Cumulative Distribution Calculating z-scores using an inverted normal distribution.
- Computing Poisson Probabilities Using R to compute poisson probabilities for a given lambda.
- Plotting Poisson Distributions Plotting Poisson distributions with a given lambda.
- Computing Exponential Probabilities Computing exponential probabilities with a given rate.
- Plotting Exponential Distributions Plotting an exponential distribution with a given average rate.