Regression Models Assignment
Questions and Actual Detailed
Answers 2025 Updated.
Which type of function best models the data shown on the scatterplot? - Answer quadratic
Use the drop-down menus to complete the statement about the volume of a water storage tank
over time, as shown in the table.
The data in the table can best be described as ______ because there is a _______. - Answer
exponential
constant multiplicative rate of change
The table below shows the approximate height of a ball thrown up in the air after x seconds.
Which quadratic model best represents the data?
f(x) = -16x2 + 99x + 6
f(x) = -36x2 + 37x + 5
f(x) = 36x2 + 37x + 5
f(x) = 16x2 + 99x + 6 - Answer f(x) = -16x2 + 99x + 6
Mr. Valdez puts $10,000 in a retirement account and does not make any deposits or
withdrawals. The table below shows the amount of money in the account after x years.
What values, rounded to the nearest hundredth, complete the exponential regression equation
that models the data? - Answer f(x) = 9974.73(1.05)x
A professor uses a video camera to record the motion of an object falling from a height of 250
meters. The function f(x) = -5x2 + 250 can be used to represent the approximate height of the
object off the ground after x seconds. Which is the best estimate for the amount of time
elapsed when the object is 120 meters off the ground?
4 seconds
5 seconds
6 seconds
7 seconds - Answer 5 seconds
, The data is best represented by a quadratic model.
If the price is $5 per unit, the expected profit is approximately $4,686.
If the price is $80 per unit, the expected profit is negative.
As the price per unit increases, the profit increases indefinitely. - Answer The data is best
represented by a quadratic model.
If the price is $5 per unit, the expected profit is approximately $4,686.
The value of a car decreases as shown in the table below.
A 2-column table with 6 rows. The first column is labeled years after purchase with entries 0, 1,
2, 3, 4, 5. The second column is labeled value (dollar sign) with entries 25,000; 18,000; 14,000;
10,500; 8,000; 6,000.
Which statements are true? Check all that apply.
The function that best represents the data is f(x) = 24,512(0.755)x.
The function that best represents the data is f(x) = 554x2 - 5,439x + 24,600.
The function decreases indefinitely.
It is reasonable to interpolate to the value of the car at 4.5 years.
It is reasonable to extrapolate to 40 years. - Answer The function that best represents the data
is f(x) = 24,512(0.755)x.
The function decreases indefinitely.
It is reasonable to interpolate to the value of the car at 4.5 years.
The table below shows the population of a town over x years.
What values, rounded to the nearest tenth, complete the exponential regression equation that
models the data?
f(x) = ()x
Based on the regression equation and rounded to the nearest whole person, what is the
estimated population after 25 years?
people - Answer 10346.0
1.1
112096
The table below shows the height of a ball x seconds after being kicked.
What values, rounded to the nearest whole number, complete the quadratic regression
Questions and Actual Detailed
Answers 2025 Updated.
Which type of function best models the data shown on the scatterplot? - Answer quadratic
Use the drop-down menus to complete the statement about the volume of a water storage tank
over time, as shown in the table.
The data in the table can best be described as ______ because there is a _______. - Answer
exponential
constant multiplicative rate of change
The table below shows the approximate height of a ball thrown up in the air after x seconds.
Which quadratic model best represents the data?
f(x) = -16x2 + 99x + 6
f(x) = -36x2 + 37x + 5
f(x) = 36x2 + 37x + 5
f(x) = 16x2 + 99x + 6 - Answer f(x) = -16x2 + 99x + 6
Mr. Valdez puts $10,000 in a retirement account and does not make any deposits or
withdrawals. The table below shows the amount of money in the account after x years.
What values, rounded to the nearest hundredth, complete the exponential regression equation
that models the data? - Answer f(x) = 9974.73(1.05)x
A professor uses a video camera to record the motion of an object falling from a height of 250
meters. The function f(x) = -5x2 + 250 can be used to represent the approximate height of the
object off the ground after x seconds. Which is the best estimate for the amount of time
elapsed when the object is 120 meters off the ground?
4 seconds
5 seconds
6 seconds
7 seconds - Answer 5 seconds
, The data is best represented by a quadratic model.
If the price is $5 per unit, the expected profit is approximately $4,686.
If the price is $80 per unit, the expected profit is negative.
As the price per unit increases, the profit increases indefinitely. - Answer The data is best
represented by a quadratic model.
If the price is $5 per unit, the expected profit is approximately $4,686.
The value of a car decreases as shown in the table below.
A 2-column table with 6 rows. The first column is labeled years after purchase with entries 0, 1,
2, 3, 4, 5. The second column is labeled value (dollar sign) with entries 25,000; 18,000; 14,000;
10,500; 8,000; 6,000.
Which statements are true? Check all that apply.
The function that best represents the data is f(x) = 24,512(0.755)x.
The function that best represents the data is f(x) = 554x2 - 5,439x + 24,600.
The function decreases indefinitely.
It is reasonable to interpolate to the value of the car at 4.5 years.
It is reasonable to extrapolate to 40 years. - Answer The function that best represents the data
is f(x) = 24,512(0.755)x.
The function decreases indefinitely.
It is reasonable to interpolate to the value of the car at 4.5 years.
The table below shows the population of a town over x years.
What values, rounded to the nearest tenth, complete the exponential regression equation that
models the data?
f(x) = ()x
Based on the regression equation and rounded to the nearest whole person, what is the
estimated population after 25 years?
people - Answer 10346.0
1.1
112096
The table below shows the height of a ball x seconds after being kicked.
What values, rounded to the nearest whole number, complete the quadratic regression
