Exponential Regression and Predictions

Exponential Regression and Predictions

Assessment

Interactive Video

Mathematics, Computers

9th - 12th Grade

Hard

Created by

Amelia Wright

FREE Resource

The video tutorial explains how to perform exponential regression to model mobile broadband traffic. It starts by setting the base year as 2006 and using it as the input of zero. The tutorial guides through entering data into a calculator, creating a scatterplot, and finding the exponential function that fits the data. It then uses this model to predict broadband traffic for the year 2014, comparing results from rounded and precise calculations. The tutorial concludes by highlighting the slight differences in predictions based on the function used.

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the base year used for modeling the mobile broadband traffic?

2000

2006

2010

2014

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How are the inputs represented in the exponential regression model?

As the actual years

As percentages

As the number of years after 2006

As random numbers

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the purpose of creating a scatterplot in this context?

To calculate the mean

To determine the mode

To visualize the data and model

To find the median

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the significance of the R squared value in the regression model?

It determines the model's cost

It measures the model's speed

It indicates the model's complexity

It shows the model's accuracy

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the exponential function derived from the data?

F(T) = 1,345.8716 x 2.8238^T

F(T) = 2,000 x 3^T

F(T) = 1,500 x 2.5^T

F(T) = 1,000 x 2^T

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How is the value of T determined for predicting the year 2014?

By multiplying 2006 and 2014

By adding 2006 to 2014

By dividing 2014 by 2006

By subtracting 2006 from 2014

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the predicted broadband traffic for 2014 using the more accurate function?

5,441,359 terabytes

5,000,000 terabytes

6,000,000 terabytes

4,500,000 terabytes

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