Linear, Quadratic, & Exponential Regression PreReview

Front

What is a quadratic equation?

Back

A quadratic equation is a polynomial equation of degree 2, typically in the form ax² + bx + c = 0, where a, b, and c are constants and a ≠ 0.

Front

What does the vertex of a quadratic function represent?

Back

The vertex of a quadratic function represents the maximum or minimum point of the parabola, depending on the direction it opens.

Front

How do you find the height of a projectile at a given distance using a quadratic equation?

Back

Substitute the horizontal distance into the quadratic equation to calculate the corresponding height.

Front

What is linear regression?

Back

Linear regression is a statistical method used to model the relationship between a dependent variable and one or more independent variables by fitting a linear equation to observed data.

Front

What is the formula for a linear regression line?

Back

The formula for a linear regression line is y = mx + b, where m is the slope and b is the y-intercept.

Front

What does the slope in a linear regression equation represent?

Back

The slope represents the rate of change of the dependent variable for each unit increase in the independent variable.

Front

What is an exponential function?

Back

An exponential function is a mathematical function of the form f(x) = a * b^x, where a is a constant, b is the base of the exponential, and x is the exponent.

Front

How can you determine the best fitting quadratic model for a set of data?

Back

You can determine the best fitting quadratic model by using methods such as least squares regression to minimize the difference between observed and predicted values.

Front

What is the significance of the y-intercept in a linear regression equation?

Back

The y-intercept is the value of the dependent variable when the independent variable is zero, indicating the starting point of the relationship.

Front

How do you interpret the results of a regression analysis?

Back

The results of a regression analysis can be interpreted by examining the coefficients, R-squared value, and p-values to understand the strength and significance of the relationships.