Quiz about Predictions with Exponential Regression

Question 1

Create the exponential regression equation.

Accepted Answer

value-hat = 35,000(0.95)^year

Answer

value-hat = 35,000(1.05)^year

Answer

year-hat = 35,000(0.95)^value

Answer

value-hat = 35,000(0.05)^year

Question 2

Which of the following is the exponential regression equation for this data?

Accepted Answer

Y = 8.16(2.7)^X

Answer

Y = 81.6(2.7)^X

Answer

Y = 8.16(.27)^X

Answer

Y = 8.16(27)^X

Question 3

Write the exponential regression equation for the data.

Accepted Answer

Y=8.16(2.7)^x

Answer

Y=81.6(2.7)^x

Answer

Y=8.16(.27)^x

Answer

Y=8.16(27)^x

Question 4

Write the exponential regression equation for this data.

Accepted Answer

Y = 8.16(2.7)^X

Answer

Y = 81.6(2.7)^X

Answer

Y = 8.16(.27)^X

Answer

Y = 8.16(27)^X

Question 5

Calculate the exponential regression equation that best fits the following data.

Accepted Answer

$$y=201.45 imes0.43^x$$

Answer

$$y=101.45 imes0.43^x$$

Answer

$$y=101.45 imes1.43^x$$

Answer

$$y=201.45 imes1.43^x$$

Question 6

A chemist has a 100-gram sample of a radioactive material. He records the amount of radioactive material every week for 6 weeks and obtains the following data. Determine the exponential regression that best models these data.

Accepted Answer

y = 100(.87)^x

Answer

y = 100(8.7)^x

Answer

y = 100(1.87)^x

Answer

y = 100(.13)^x

Question 7

The population of another town (current population is 2000) increases by 75% each year. Write the exponential regression equation:

Accepted Answer

population-hat = 2000(1.75)^year

Answer

population-hat = 2000+ 75(year)

Answer

population-hat = 2000(.75)^year

Answer

population-hat = 2000(year)⁷⁵

Question 8

After 50 gallons of water is poured into a tank, 3.5% of the water will leak out each hour. Set up a regression equation to predict how much water will be left after a certain amount of hours.

Accepted Answer

gallons-hat = 50(.965)^Hours

Answer

gallons-hat = 50 - 3.5(hours)

Answer

gallons-hat = 50 + 3.5(hours)

Answer

gallons-hat = 50(1.035)^Hours

Question 9

The number of mosquitoes at the beginning of the summer was 4,000. The population of mosquitoes is expected to grow at a rate of 25% a month.

Set up the exponential equation:

Accepted Answer

mosquitoes-hat = 4000(1.25)^month

Answer

month-hat = 4000(1.25)^mosquitoes

Answer

mosquitoes-hat = 25(4000)^month

Answer

month-hat = 1.25(4000)^mosquitoes

Question 10

Is the pictured graph growth, decay, or linear or none?

Accepted Answer

Exponential Growth

Answer

Exponential Decay

Answer

<p>Linear</p>

Answer

Predictions with Exponential Regression

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