Regression Models Answers

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Jessica plots the data points relating the amount of money she needs to repay a loan and the number of months she has been making payments. She calculates two regression models. Which is true?

Question illustration
A
The linear model better represents the situation because the amount she owes is decreasing by about the same amount every 6 months.
B
The linear model better represents the situation because according to the exponential model, the repayment amount will never be 0.
C
The exponential model better represents the situation because the amount she owes decreases by about the same amount every 6 months.
D
The exponential model better represents the situation because according to the linear model, the repayment amount will eventually be negative.
3

The table shows the estimated number of bees, y, in a hive x days after a pesticide is released near the hive.

Question illustration
A
y = 9,958(0.972)x
B
y = 0.972(9,958)x
C
y = 9,219x– 150
D
y = –150x + 9,219
5

The data in the table represents a company’s profit based on the number of items produced.

Question illustration
A
y = –1.026x2 + 1016.402x – 162075
B
y = –1.036x2 + 1024.771x – 163710
C
y = 298.214x – 66317.667
D
y = 196.2x – 18710
6

Janna is making a prediction of the frequency of a key that is 12 keys from middle C.

Question illustration
A
interpolation, because a key that is 12 keys from middle C is within the data set
B
interpolation, because a key that is 12 keys from middle C is outside the data set
C
extrapolation, because a key that is 12 keys from middle C is within the data set
D
extrapolation, because a key that is 12 keys from middle C is outside the data set
7

The quadratic regression graphed on the coordinate grid represents the height of a road surface x meters from the center of the road.

Question illustration
A
The height of the surface decreases from the center out to the sides of the road.
B
The height of the surface increases, then decreases, from the center out to the sides of the road.
C
The height of the surface increases from the center out to the sides of the road.
D
The height of the surface remains the same the entire distance across the road.

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