Optional Unit 4 Test Review ALG I

Front

What is the slope-intercept form of a linear equation?

Back

The slope-intercept form is given by the equation y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you calculate the slope (m) between two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated using the formula m = (y2 - y1) / (x2 - x1).

Front

What does a positive slope indicate about a linear graph?

Back

A positive slope indicates that as x increases, y also increases, resulting in an upward trend.

Front

What does a negative slope indicate about a linear graph?

Back

A negative slope indicates that as x increases, y decreases, resulting in a downward trend.

Front

What is the y-intercept in the equation y = 3x + 5?

Back

The y-intercept is 5, which is the value of y when x = 0.

Front

What is the meaning of '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

How do you write an equation in slope-intercept form given a slope and a point?

Back

Use the point-slope form y - y1 = m(x - x1) and rearrange it to y = mx + b.

Front

What is the correlation coefficient and what does it indicate?

Back

The correlation coefficient measures the strength and direction of a linear relationship between two variables, ranging from -1 (perfect negative correlation) to +1 (perfect positive correlation).

Front

What does it mean if a graph has no correlation?

Back

If a graph has no correlation, it means there is no discernible relationship between the two variables, and the points do not follow any trend.

Front

What is the formula for finding the y-intercept (b) when given the slope (m) and a point (x, y)?

Back

Rearrange the slope-intercept form: b = y - mx.