Question

2.03 statistical graphs & charts
assignment 2.03
statkey. go to www.lock5stat.com/statkey
for each selected data set, copy/paste and describe the distribution from the identified graphs
part one. one quantitative variable - include summary calculations in screen shots

1. dotplot for cars (breaking - distance)
2. histogram for us 4 - year colleges (enrollment)
3. boxplot for nba players - 3e (blocks)

part two. one categorical variable - include two - way table in screen shots

1. cell phone types (breaking - distance, 2019)
2. restaurant pay with credit card

part three. one categorical variable - include summary calculations in screen shots
compare the distributions instead of just describing

1. dotplot for us college (completion by control)
2. histogram for us states - 3e (physical activity)
3. boxplot for baseball hits - 2e (by league, 2015)

part four. two quantitative variables - include summary calculations in screen shot
include slope & intercept description/interpretation in your graph description

1. 4 - year colleges (faculty salary vs completion)

Explanation:

Step1: Access the website

Go to www.lock5stat.com/statkey as instructed.

Step2: Select data sets for Part One

For the quantitative variable tasks:

• For "DOTPLOT for US 4 - year colleges (Enrollment)", find the relevant data set on the website, copy - paste the data, calculate summary statistics (e.g., mean $\bar{x}=\frac{\sum_{i = 1}^{n}x_{i}}{n}$, median, standard deviation $s=\sqrt{\frac{\sum_{i=1}^{n}(x_{i}-\bar{x})^{2}}{n - 1}}$), and create a dot - plot. Take screenshots.
• For "HISTOGRAM for US 4 - year colleges (Enrollment)", do the same but create a histogram instead.
• For "BOXPLOT for Cars (breaking - distance)", find the car data set, calculate summary statistics (quartiles $Q_1, Q_2, Q_3$), and create a box - plot with screenshots.

Step3: Select data sets for Part Two

For the categorical variable tasks:

• For "Cell Phone Types (2019)", find the data set, create a two - way table, and take screenshots.
• For "Restaurant Pay with Credit Card", find the relevant data and create appropriate summary calculations and screenshots.

Step4: Select data sets for Part Three

For comparing distributions:

• For "DOTPLOT for US College (completion by control)", find the data, calculate summary stats, create a dot - plot, and take screenshots.
• For "HISTOGRAM for US States - 34 (physical activity)", find the data, create a histogram with summary calculations and screenshots.
• For "BOXPLOT for Baseball Hits - 2e (by league, 2015)", find the data, calculate quartiles, create a box - plot and take screenshots.

Step5: Select data sets for Part Four

For the two quantitative variables task:
For "4 - Year Colleges (Faculty Salary vs Completion)", find the data set. Calculate the slope $m$ and intercept $b$ of the regression line $y=mx + b$ (using formulas $m=\frac{\sum_{i = 1}^{n}(x_{i}-\bar{x})(y_{i}-\bar{y})}{\sum_{i=1}^{n}(x_{i}-\bar{x})^{2}}$ and $b=\bar{y}-m\bar{x}$). Interpret the slope as the change in the response variable (faculty salary) for a one - unit change in the predictor variable (completion rate), and the intercept as the value of the response variable when the predictor variable is zero. Include summary calculations and screenshots in the graph description.

Answer:

Complete the above - described steps for each part of the assignment, including all summary calculations, graph creations, and screenshots as required.