Problem Solving with Trend Lines (Lesson 5.4)

Front

What is a trend line?

Back

A trend line is a straight line that best represents the data on a scatter plot, showing the general direction of the data points.

Front

How do you find the line of best fit?

Back

The line of best fit can be found using methods such as least squares regression, which minimizes the distance between the data points and the line.

Front

What does the slope of a trend line represent?

Back

The slope indicates the rate of change between the two variables represented in the scatter plot.

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 trend line on the y-axis.

Front

How can you predict future values using a trend line?

Back

You can predict future values by substituting the x-value into the equation of the trend line to find the corresponding y-value.

Front

What does a positive slope indicate in a trend line?

Back

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

Front

What does a negative slope indicate in a trend line?

Back

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

Front

What is the purpose of using a line of best fit?

Back

The purpose is to summarize the relationship between two variables and make predictions based on that relationship.

Front

How do you interpret the slope in the equation y = -5/8x + 45?

Back

The slope of -5/8 means that for every 8 units increase in x, y decreases by 5 units.

Front

What is the significance of the y-intercept in the equation y = 0.27x + 5.8?

Back

The y-intercept of 5.8 indicates the expected value of y when x is 0.