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Curated Video
Data Science and Machine Learning (Theory and Projects) A to Z - Feature Engineering: Derived Features
In this video, we will cover derived features.
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This clip is from the chapter "Machine Learning: Feature Engineering and Dimensionality Reduction with Python" of the series "Data Science and Machine Learning (Theory and...
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This clip is from the chapter "Machine Learning: Feature Engineering and Dimensionality Reduction with Python" of the series "Data Science and Machine Learning (Theory and...
Curated Video
Understanding the Y-Intercept of a Linear Function
In this video, the teacher explains how to identify and describe the Y intercept of a linear function. The Y intercept represents the starting value or initial condition of the function. Using examples of a carnival admission cost and...
Brian McLogan
How to find the inverse of a linear function
👉 Learn how to find the inverse of a linear function. A linear function is a function whose highest exponent in the variable(s) is 1. The inverse of a function is a function that reverses the "effect" of the original function. One...
Curated Video
Calculating the Line of Best Fit Using the Method of Least Squares
In this video, the teacher explains how to calculate the line of best fit for a scatter plot using the method of least squares. They discuss different types of functions that can fit scatter plots, such as linear, quadratic, and...
Curated Video
Analyzing the Domain of Linear Functions in Real Life Word Problems
In this video, the teacher explains how to analyze the domain of linear functions in real-life word problems. Using the example of purchasing music online, the teacher demonstrates how the context of the problem determines the...
Curated Video
Modeling Exponential Decay: Using Tables and Function Notation
In this lesson, students will learn how to model exponential decay using a table of values and function notation. They will understand the difference between linear functions and exponential decay functions, and how the decay factor...
Curated Video
Linear Modeling
What are linear models and when do we use them? Let's look at a few word problems that we need linear modeling to solve!
Curated Video
Comparing Linear and Exponential Growth at a Specific Point in Time
In this video lesson, students learn how to determine which growth pattern, linear or exponential, will exceed the other at a specific point in time. By writing function equations and substituting values, students can compare the growth...
Curated Video
Describing the Relationship Between Two Quantitative Variables Using Scatter Plots
In this video, students learn how to describe the relationship between two quantitative variables using scatter plots. The video explains the difference between categorical and quantitative variables and demonstrates how scatter plots...
Curated Video
Constructing Linear Functions from Graphs
In this video, we explain the different ways a linear function can be represented and focus on the components of the equation y = mx + b. We demonstrate how to find the y-intercept (b) and the slope (m) by using rise over run. The...
Curated Video
Finding X Intercepts of Linear Functions by Factoring
In this video, the teacher explains how to find the X-intercepts or zeros of linear functions by factoring. They demonstrate the process with several examples and emphasize the importance of setting the function equal to zero and solving...
Curated Video
Determining Percentage Rate of Change
In this video, the teacher explains how to determine the percent rate of change using exponential models. They review compound interest and linear functions, and then go on to discuss exponential growth and depreciation.
Curated Video
Statistical Regression Models and Predicting Values
This video discusses how to determine the best statistical regression model to approximate data within a scatter plot and make predictions through interpolation and extrapolation. It covers the process of inputting data into a graphing...
Curated Video
Describing Rate of Change in Linear Functions
In this video, explains how to identify equations with a constant rate of change in a linear function. They discuss the four representations of a linear function: graph, equation, table, and description. They emphasize that a linear...
Curated Video
Writing Linear Equations from Tables
In this video, mathematicians will learn how to write linear equations from tables. By identifying the rate of change and initial value, students will be able to understand how linear equations can represent relationships and make...
Curated Video
Graphing Linear Functions in Slope-Intercept Form
In this video, we learn how to graph linear functions in slope intercept form. The teacher explains how to find the slope, y-intercept, and x-intercept of a line, and provides examples of how to graph a line using function notation and a...
Curated Video
Proving Equal Differences in Linear Functions over Equal Intervals
In this lesson, students will learn how to prove that linear functions grow by equal differences over equal intervals. The video demonstrates algebraically that the difference in y-coordinates does not depend on the specific...
Curated Video
How to Identify a Linear Function
In this short video we will answer a standardized math test prep question where we are asked to identify a linear function. We will learn that a linear function must have a variable with an exponent of 1. If a variable in an equation...
Curated Video
Function Notation
In this video lesson we will learn how to evaluate functions using function notation , as well as, how to interpret function notation. We will learn that function notation is a way to name functions to help us differentiate one function...
Curated Video
Understanding Constant Rate of Change in Linear Equations
Learn how to identify the input and output variables and how to write the rate of change. We also demonstrate how to use a function table to find the rate of change between points on a line, emphasizing that linear functions have equal...
Curated Video
Understanding Exponential Functions Through Tables
This video explains how to determine if a set of data represents an exponential function and how to write an equation that models the function. It discusses the concept of first and second differences, the parent function for exponential...
Curated Video
Linear vs. Nonlinear Functions
In this video lesson, we will learn how to determine if a graph, table of values, or an equation represents a linear or nonlinear function. We will look at a graph for a nonvertical line to determine it is linear. We will look for a...
Curated Video
Comparing Linear, Exponential and Quadratic Functions
This lesson will cover the patterns of linear, exponential and quadratic functions and review how to determine what type a function from a table of values. We will also review how to write a function rule/equation for a pattern from a...
Curated Video
Constructing Linear Functions: Finding Initial Value and Rate of Change
In this video, the teacher explains how to construct a linear function by solving for unknown information. They demonstrate how to determine the initial value and rate of change using different scenarios, such as analyzing a graph or...