Understanding Linear Relationships and Predictions

Front

What does a correlation coefficient (r) of -0.89 indicate?

Back

Strong negative correlation.

Front

Describe a weak negative correlation.

Back

A weak negative correlation indicates that as one variable increases, the other variable tends to decrease slightly, but the relationship is not strong.

Front

What does the slope in the equation y = -2x + 7 represent in a real-world context?

Back

For each hour of mowing, the mower is predicted to use 2 gallons of gas.

Front

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

Back

To make predictions based on the trend of the data.

Front

Interpret the slope of the Least Squares Line Equation: If the slope is $31.45, what does it mean?

Back

For each additional hour, income is predicted to increase by $31.45.

Front

What is a linear relationship?

Back

A linear relationship is a relationship between two variables that can be represented by a straight line on a graph.

Front

What does it mean if the slope of a line is positive?

Back

A positive slope indicates that as one variable increases, the other variable also increases.

Front

What does it mean if the slope of a line is negative?

Back

A negative slope indicates that as one variable increases, the other variable decreases.

Front

What is the y-intercept in a linear equation?

Back

The y-intercept is the value of y when x is 0, representing the starting point of the line on the y-axis.

Front

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

Back

Slope (m) = (y2 - y1) / (x2 - x1).