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Laabri

Lesson 19.5A Scatter Plots and Fitted Quadratic Curves Stopping Distances

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Last updated almost 2 years ago
12 Nsɛmmisa
Hyɛ no nsow a efi ɔkyerɛwfo no hɔ:

Using Desmos, we will create a scatter plot of the provided data about stopping distances. We will then use the regression capabilities of Desmos to create a quadratic model that represents stopping distances.

Using Desmos, we will create a scatter plot of the provided data about stopping distances. We will then use the regression capabilities of Desmos to create a quadratic model that represents stopping distances.

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Use the model that you chose in #8, to answer the following questions.

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1.

Use the data to create a scatter plot on Desmos. Take a screen shot of your scatter plot and submit it below.

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2.

Using Desmos, create a quadratic regression model with your data. Take a screen shot of your model in Desmos and paste it in the show your work window.

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3.

Type out the Quadratic Model that represents your data.

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4.

What is the correlation coefficient for your Quadratic Model? This is the R Squared value.

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5.

Using Desmos, create a linear regression model with your data. Take a screen shot of your model in Desmos and paste it in the show your work window.

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6.

Type out the Linear Model that represents your data.

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7.

What is the correlation coefficient for your Linear Model? This is the R Squared value.

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8.

Which model do you think best matches your data? Justify your reasoning using the R Squared correlation coefficient.

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9.

What is the stopping distance if you are traveling 25 mph?

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10.

What is the stopping distance if you are traveling 75 mph?

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11.

What is the stopping distance if you are traveling 100 mph?

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12.

Suppose a car took 500 feet to brake. Use your model to calculate how fast the car was going when the braking began.