IM 8.6.4 Lesson: Fitting a Line to Data

Here is a scatter plot that shows weights and fuel efficiencies of 20 different types of cars.
[img]data:image/png;base64,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[/img][br][br]If a car weighs 1,750 kg, would you expect its fuel efficiency to be closer to 22 mpg or to 28 mpg? Explain your reasoning.
Here is a table that shows weights and prices of 20 different diamonds.
[img]data:image/png;base64,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[/img]
The scatter plot shows the prices and weights of the 20 diamonds together with the graph of y=5,520x-1,091.
[size=150]The function described by the equation [math]y=5520x-1092[/math] is a [i]model[/i] of the relationship between a diamond’s weight and its price.[br][br]This model [i]predicts[/i] the price of a diamond from its weight. These predicted prices are shown in the third column of the table.[br][br][/size]Two diamonds that both weigh 1.5 carats have different prices. [size=100]What are their prices? How can you see this in the table? How can you see this in the graph?[/size]
[size=150][size=100]The [i]model[/i] predicts that when the weight is 1.5 carats, the price will be $7,189. [/size][/size] How can you see this in the graph? How can you see this using the equation?
[size=150][size=100]One of the diamonds weighs 1.9 carats. What does the model predict for its price? How does that compare to the actual price?[/size][/size]
Find a diamond for which the model makes a very good prediction of the actual price. How can you see this in the table? In the graph?
Find a diamond for which the model’s prediction is not very close to the actual price. [size=100]How can you see this in the table? In the graph?[/size]
Here is a scatter plot that shows lengths and widths of 20 different left feet. Use the double arrows to show or hide the expressions list.
Estimate the widths of the longest foot and the shortest foot.
Estimate the lengths of the widest foot and the narrowest foot.
Click on the unchecked checkbox icon [img]data:image/png;base64,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[/img] next to the words “The Line”.[br]The graph of a linear model should appear. Find the data point that seems weird when compared to the model. What length and width does that point represent?
Close

Information: IM 8.6.4 Lesson: Fitting a Line to Data