Regression Models

Question 1

Question 1

Revolt · Accepted Answer

84570

Question 2

✔ exponentialquadraticlinear

Revolt · Accepted Answer

A: exponential

Question 3

Which quadratic model best represents the data?

Revolt · Accepted Answer

A: f(x) = –16x2 + 99x + 6

Question 4

What values, rounded to the nearest hundredth, complete the exponential regression equation that models the data? f(x) = ()x

Revolt · Accepted Answer

Part 1: 9,974.73; Part 2: 1.05

Question 5

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?

Revolt · Accepted Answer

B: 5 seconds

Question 6

Which statements are true? Check all that apply.

Revolt · Accepted Answer

B: The data is best represented by a quadratic model.; C: If the price is $5 per unit, the expected profit is approximately $4,686.

Question 7

Which statements are true? Check all that apply.

Revolt · Accepted Answer

A: The function that best represents the data is f(x) = 24,512(0.755)x.; C: The function decreases indefinitely.; D: It is reasonable to interpolate to the value of the car at 4.5 years.

Question 8

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

Revolt · Accepted Answer

Part 1: 10,346.0; Part 2: 1.1; Part 3: 112,096

Question 9

What values, rounded to the nearest whole number, complete the quadratic regression equation that models the data? f(x) = x2 + x + 0 Based on the regression equation and rounded to the nearest whole number, what is the estimated height after 0.25 seconds? feet

Revolt · Accepted Answer

Part 1: -16; Part 2: 81; Part 3: 19

Question 10

Charlie used a regression calculator to generate the equation f(x) = –0.15x + 20.1 for the ordered pairs (2, 15), (4, 21), (6, 26), (8, 20), and (10, 14).Is a linear representation the best way to represent the data? If it is, explain why. If not, explain why and suggest a better alternative.

Revolt · Accepted Answer

The rvalue for the linear function related to the ordered pairs is very close to zero, so it is not a good representation of the data. A quadratic model would better represent the data because there is a turning point within the data set. The data increases then decreases, which is what the graph of a quadratic does.

Regression Models Answers

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