PSABPP3X - Student Facing Task---Acc7.5 Lesson 19 Fitting a Line to Data (8.SP.A.1, 8.SP.A.2)
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Part A)

Here is a scatter plot that shows weights and fuel efficiencies of 20 different types of cars.

If a car weighs 1,750 kg, would you expect its fuel efficiency to be closer to 22 mpg or to 28 mpg?
A scatterplot with 20 data points. The horizontal axis is labeled “weight, in kilograms” and the numbers 1,000 through 2,500, in increments of 250, are indicated. The vertical axis is labeled “fuel efficiency, in miles per gallon” and the numbers 14 through 32, in increments of 2, are indicated. The graph shows the trend of the 20 data points moving linearly downward and to the right. The approximate coordinates of 11 selected data points are as follows:  1,130 comma 28. 1,240 comma 30. 1,400 comma 25. 1,490 comma 23. 1,550 comma 25. 1,590 comma 26. 1,650 comma 19. 1,740 comma 21. 1,775 comma 20. 1,950 comma 19. 2,200 comma 16.

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Select one:
Part B)

Explain your reasoning. 

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Part A)

Here is a table that shows weights and prices of 20 different diamonds.

 

The scatter plot shows the prices and weights of the 20 diamonds together with the graph of y=5,520x-1,091

The function described by the equation y=5,520x-1,091 is a model of the relationship between a diamond’s weight and its price.

This model predicts the price of a diamond from its weight. These predicted prices are shown in the third column of the table.

 

Two diamonds that both weigh 1.5 carats have different prices. What are their prices? How can you see this in the table? How can you see this in the graph?

 

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Part B)

The model predicts that when the weight is 1.5 carats, the price will be $7,189. How can you see this in the graph? How can you see this using the equation?

Type your answer below:
Part C)

One of the diamonds weighs 1.9 carats. What does the model predict for its price?

 

Do not include units ($) in your answer. 

Type your answer below as a number (example: 5, 3.1, 4 1/2, or 3/2):
Part D)

How does that compare to the actual price?

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Part E)

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?

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Part F)

Find a diamond for which the model’s prediction is not very close to the actual price. How can you see this in the table? In the graph?

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Part A)

Here is a scatter plot that shows lengths and widths of 20 different left feet.

Estimate the widths of the longest foot and the shortest foot.


Width of longest foot:

 

 

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Part B)

Width of shortest foot:

 

Type your answer below:
Part C)

Estimate the lengths of the widest foot and the narrowest foot.

 

Length of widest foot:

 

Type your answer below:
Part D)

Length of narrowest foot:

 

 

Type your answer below:
Part E)

Here is the same scatter plot together with the graph of a model for the relationship between foot length and width.

Circle the data point that seems weird when compared to the model. 

 

Draw your graph on paper, take a picture, and upload it using the upload icon

 

If you do not have the ability to upload an image of your work, type "Graph is on paper."

 

Type your answer below:
Part F)

What length and width does that point represent?

Type your answer below: