M1. 5.1-5.2 Analyze Line of Best Fit Eqtns

Front

What is a line of best fit?

Back

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

Front

What does a negative association in a graph indicate?

Back

A negative association indicates that as one variable increases, the other variable tends to decrease.

Front

What does the slope of a line in a linear equation represent?

Back

The slope represents the rate of change of the dependent variable with respect to the independent variable.

Front

In the equation y = mx + b, what does 'b' represent?

Back

The 'b' represents the y-intercept, which is the value of y when x is 0.

Front

How do you interpret the slope of the equation y = -2.8x + 40 in the context of fuel efficiency?

Back

The slope of -2.8 indicates that the car's fuel efficiency decreases by about 2.8 mpg each year.

Front

What does the y-intercept of the equation y = 12.42x + 5 represent in the context of stock price?

Back

The y-intercept of 5 indicates that the stock price was about $5 when the time variable (x) was 0.

Front

What is the purpose of using a line of best fit in data analysis?

Back

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

Front

What does it mean if a line of best fit does not pass through the middle of the data set?

Back

It means that the line may not accurately represent the overall trend of the data.

Front

How can you predict future values using a line of best fit?

Back

You can use the equation of the line to calculate predicted values for given inputs.

Front

What is the significance of the coefficient in a linear equation?

Back

The coefficient indicates how much the dependent variable changes for a one-unit change in the independent variable.