Linear, Quadratic, Exponential Regression

Front

What is the correlation coefficient 'r'?

Back

The correlation coefficient 'r' is a number that measures the strength and direction of a linear relationship between two variables, with values ranging from -1 to 1 (-1 ≤ r ≤ 1).

Front

What does a correlation coefficient of 0 indicate?

Back

A correlation coefficient of 0 indicates no association between the two variables.

Front

Write the general form of an exponential regression equation.

Back

The general form of an exponential regression equation is Y = a(b)^x, where 'a' is a constant and 'b' is the base of the exponential function.

Front

What is a quadratic equation?

Back

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

Front

What does the term 'line of best fit' refer to?

Back

The line of best fit is a straight line that best represents the data on a scatter plot, minimizing the distance between the line and all data points.

Front

How do you determine the equation of the line of best fit?

Back

The equation of the line of best fit can be determined using methods such as least squares regression, which minimizes the sum of the squares of the vertical distances of the points from the line.

Front

What is the significance of the 'a' value in an exponential regression equation?

Back

The 'a' value in an exponential regression equation represents the initial value or the y-intercept when x = 0.

Front

What does a positive correlation indicate?

Back

A positive correlation indicates that as one variable increases, the other variable also tends to increase.

Front

What is the vertex of a quadratic function?

Back

The vertex of a quadratic function is the highest or lowest point on the graph, depending on the direction of the parabola.

Front

How can you identify a quadratic function from a set of data points?

Back

You can identify a quadratic function from a set of data points by observing a parabolic pattern in the data when plotted on a graph.