Table of contents

1. Intro to Stats and Collecting Data1h 14m

Intro to Stats
24m

Levels of Measurement
18m

Intro to Collecting Data
8m

Sampling Methods
23m

2. Describing Data with Tables and Graphs1h 55m

Visualizing Qualitative vs. Quantitative Data
4m

Frequency Distributions
35m

Histograms
14m

Bar Graphs and Pareto Charts
11m

Pie Charts
8m

Frequency Polygons
10m

Dot Plots
6m

Stemplots (Stem-and-Leaf Plots)
13m

Time-Series Graph
9m

3. Describing Data Numerically2h 5m

Mean
9m

Median
17m

Mode
7m

Standard Deviation
16m

Interpreting Standard Deviation
20m

Percentiles & Quartiles
14m

Describing Data Numerically Using a Graphing Calculator
10m

Boxplots
8m

Descriptive Statistics-Excel
11m

Boxplots-Excel
8m

4. Probability2h 16m

Basic Concepts of Probability
7m

Complements
6m

Addition Rule
17m

Multiplication Rule: Independent Events
11m

Introduction to Contingency Tables
17m

Multiplication Rule: Dependent Events
15m

Bayes' Theorem
13m

Fundamental Counting Principle
8m

Counting
37m

5. Binomial Distribution & Discrete Random Variables3h 6m

Discrete Random Variables
31m

Binomial Distribution
1h 7m

Finding Binomial Probabilities-Excel
17m

Poisson Distribution
40m

Finding Poisson Probabilities-Excel
15m

Hypergeometric Distribution
14m

6. Normal Distribution and Continuous Random Variables2h 11m

Uniform Distribution
18m

Standard Normal Distribution
39m

Probabilities & Z-Scores w/ Graphing Calculator
19m

Non-Standard Normal Distribution
21m

Finding Probabilities, Z Values, and X Values with the Normal Distribution-Excel
32m

7. Sampling Distributions & Confidence Intervals: Mean3h 23m

Sampling Distribution of the Sample Mean and Central Limit Theorem
19m

Distribution of Sample Mean - Excel
23m

Introduction to Confidence Intervals
15m

Confidence Intervals for Population Mean
1h 18m

Determining the Minimum Sample Size Required
12m

Finding Probabilities and T Critical Values - Excel
28m

Confidence Intervals for Population Means - Excel
25m

8. Sampling Distributions & Confidence Intervals: Proportion1h 25m

Sampling Distribution of Sample Proportion
29m

Confidence Intervals for Population Proportion
42m

Confidence Intervals for Population Proportion - Excel
12m

9. Hypothesis Testing for One Sample3h 29m

Steps in Hypothesis Testing
1h 1m

Performing Hypothesis Tests: Means
51m

Hypothesis Testing: Means - Excel
42m

Performing Hypothesis Tests: Proportions
27m

Hypothesis Testing: Proportions - Excel
27m

10. Hypothesis Testing for Two Samples4h 50m

Two Proportions
1h 13m

Two Proportions Hypothesis Test - Excel
28m

Two Means - Unknown, Unequal Variance
1h 3m

Two Means - Unknown Variances Hypothesis Test - Excel
12m

Two Means - Unknown, Equal Variance
15m

Two Means - Unknown, Equal Variances Hypothesis Test - Excel
9m

Two Means - Known Variance
12m

Two Means - Sigma Known Hypothesis Test - Excel
21m

Two Means - Matched Pairs (Dependent Samples)
42m

Matched Pairs Hypothesis Test - Excel
12m

11. Correlation1h 24m

Scatterplots & Intro to Correlation
26m

Correlation Coefficient
21m

Creating Scatterplots and FInding Correlation Coefficient - Excel
6m

Hypothesis Tests for Correlation Coefficient Using TI-84
17m

Inferences for the Correlation Coefficient - Excel
11m

12. Regression1h 50m

Linear Regression & Least Squares Method
26m

Residuals
12m

Coefficient of Determination
12m

Inferences for Slope
31m

Prediction Intervals
13m

Quadratic Regression
15m

13. Chi-Square Tests & Goodness of Fit2h 21m

Goodness of Fit Test
41m

Goodness of FIt Test Using TI-84
17m

Goodness of Fit Test - Excel
10m

Contingency Tables
12m

Independence Tests
14m

Homogeneity Tests
11m

Using Matrices on a TI-84
6m

Independence Test Using TI-84
12m

Independence Tests - Excel
13m

14. ANOVA1h 57m

Introduction to ANOVA
30m

Multiple Comparisons: Tukey Test
14m

Multiple Comparisons: Tukey-Kramer Test
15m

Multiple Comparisons: Bonferoni Test
24m

Two-Way ANOVA
32m

11. Correlation

Scatterplots & Intro to Correlation

Statistics

11. Correlation

Scatterplots & Intro to Correlation

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Multiple Choice

Which of the following scatterplots best represents a negative correlation between two variables?

A scatterplot where the points are arranged in a perfect circle.

A scatterplot where the points trend upward from left to right.

A scatterplot where the points form a horizontal band with no clear trend.

A scatterplot where the points trend downward from left to right.

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Understand what correlation means: Correlation measures the strength and direction of a linear relationship between two variables.

Recall that a negative correlation means that as one variable increases, the other variable tends to decrease.

Visualize the scatterplots: A perfect circle shows no linear relationship, an upward trend shows positive correlation, and a horizontal band shows no correlation.

Identify that a scatterplot where points trend downward from left to right indicates a negative correlation because the variables move in opposite directions.

Conclude that the scatterplot with points trending downward from left to right best represents a negative correlation.

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Textbook Question

In Problems 9– 12, determine whether the scatter diagram indicates that a linear relation may exist between the two variables. If the relation is linear, determine whether it indicates a positive or negative association between the variables.

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Textbook Question

[DATA] Putting It Together: Paternal Smoking It is well-documented that active maternal smoking during pregnancy is associated with lower-birth-weight babies. Researchers wanted to determine if there is a relationship between paternal smoking habits and birth weight. The researchers administered a questionnaire to each parent of newborn infants. One question asked whether the individual smoked regularly. Because the survey was administered within 15 days of birth, it was assumed that any regular smokers were also regular smokers during pregnancy. Birth weights for the babies (in grams) of nonsmoking mothers were obtained and divided into two groups, nonsmoking fathers and smoking fathers. The given data are representative of the data collected by the researchers. The researchers concluded that the birth weight of babies whose father smoked was less than the birth weight of babies whose father did not smoke.

b. What is the explanatory variable? What is the response variable?

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Textbook Question

If the slope of a least-squares regression line is negative, what could be said about the correlation between the explanatory and response variable?

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Multiple Choice

A scatterplot shows that as the values of variable $X$ increase, the values of variable $Y$ also tend to increase. Which of these statements does the graph support?

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Multiple Choice

Suppose a scatterplot displays a strong, positive linear relationship between two variables. Which of the following statements is best supported by the data shown in the graph?

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Multiple Choice

When examining a scatterplot, how can you determine if there is a relationship between two variables?

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Multiple Choice

Given a scatterplot showing a strong positive linear relationship between $h o u r s$ studied and $e x a m$ scores, the table best supports which of the following conclusions?

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Multiple Choice

Which of the following best describes a scatterplot and its primary use in statistics?

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