4
QuizMultiple Choice

Scatterplots

Question 4 • AZ-Common Core Algebra II B

The following table shows the appraised value of a house over time.Age (years)Value (thousands)0140314861609162121851517818194Using the data from the table determine if there is a linear trend between the age of a house and its value and determine if there is an exact linear fit of the data. Describe the linear trend if there is one.

Answer
A
Negative linear trend, an exact linear fit.
B
Negative linear trend, not an exact linear fit.
C
Positive linear trend, an exact linear fit.
D
Positive linear trend, not an exact linear fit.

Explanation

As the house’s age increases from 0 to 18 years, its value generally rises from $140,000 to $194,000, so the trend is positive. The data do not have an exact linear fit: for example, the value rises by $8,000 from age 0 to 3, but by $12,000 from age 3 to 6, and it even falls from $185,000 at age 12 to $178,000 at age 15. Therefore, the correct description is a positive linear trend, not an exact linear fit.

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