Algebra 1 Semester Exam

Front

What is the correlation coefficient (r) and what does it indicate?

Back

The correlation coefficient (r) is a statistical measure that describes the strength and direction of a relationship between two variables. It ranges from -1 to 1, where 1 indicates a perfect positive correlation, -1 indicates a perfect negative correlation, and 0 indicates no correlation.

Front

How do you calculate the slope of a line given two points (x1, y1) and (x2, y2)?

Back

Front

What is a linear equation?

Back

Front

What does the y-intercept represent in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis. It represents the value of y when x is 0.

Front

What is the difference between a positive and negative slope?

Back

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

Front

Back

Front

What is the line of best fit in a scatter plot?

Back

The line of best fit is a straight line that best represents the data points in a scatter plot. It minimizes the distance between the line and all the points.

Front

What is the purpose of using a scatter plot?

Back

A scatter plot is used to determine the relationship between two quantitative variables. It helps visualize correlations and trends.

Front

What does it mean if a scatter plot shows a strong positive correlation?

Back

A strong positive correlation means that as one variable increases, the other variable also tends to increase, indicating a direct relationship.

Front

How do you interpret the slope of a line in a real-world context?

Back

The slope of a line represents the rate of change between the two variables. For example, in a graph showing distance over time, the slope indicates speed.