Section 2.5 – Linear Models. Essential Understanding Sometimes it is possible to model data from a real-world situation with a linear equation. You can.

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Presentation transcript:

Section 2.5 – Linear Models

Essential Understanding Sometimes it is possible to model data from a real-world situation with a linear equation. You can then use the equation to draw conclusions about the situation.

Section 2.5 – Linear Models A scatterplot is a graph that relates two sets of data by plotting the data as ordered pairs. You can use a scatter plot to determine the strength of the relationship, or correlation, between data sets.

Section 2.5 – Linear Models The closer the data points fall along a line, the stronger the relationship and the stronger the positive or negative corrleation between the two variables.

Section 2.5 – Linear Models Problem 1: The table lists average monthly temperatures and electricity costs for a Texas home in The table displays the values rounded to the nearest whole number. Make a scatter plot. How would you describe the correlation?

Section 2.5 – Linear Models Problem 1b: The table shows the numbers of hours students spent online the day before a test and the scores on the test. Make a scatter plot. How would you describe the correlation? Using the graph from Problem 1, how much would you expect to pay for electricity if the average temperature was 70 degrees? Explain.

Section 2.5 – Linear Models A trend line is a line that approximates the relationship between the variables, or data sets, of a scatter plot. You can use a trend line to make predictions from the data. In the previous lesson you learned how to use two points to write the equation of a line to model a real- world problem. You can use this method to write the equation of a trend line.

Section 2.5 – Linear Models Problem 2: The table shows the median home prices in Florida. What is the equation of a trend line that models a relationship between time and home prices? Use the equation to predict the median home price in 2020.

Section 2.5 – Linear Models

Problem 2b: The table shows median home prices in California. What is an equation for a trend line that models the relationship between time and home prices?

Section 2.5 – Linear Models The trend line that gives………..

Section 2.5 – Linear Models Problem 3: You research the average cost of whole milk for several recent years to look for trends. The table shows your data. a.What is the equation for the line of best fit? b.How accurate is your line of best fit? c.Based on your linear model, how much would you expect to pay for a gallon of whole milk in 2020?

Section 2.5 – Linear Models Problem 3: The table lists the cost of 2% milk. a.What is the equation for the line of best fit? b.How accurate is your line of best fit? c.Based on your linear model, how much would you expect to pay for a gallon of 2% milk in 2025?

Section 2.5 – Linear Models Lesson Check

Section 2.5 – Linear Models Lesson Check