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Sample Examination One - La Jolla High School

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Section I<br />

Saxnple Exarnination <strong>One</strong><br />

4. For the past two-hundred years population per square feet in a northwest suburb can be<br />

modeled using the exponential equation: | = ab' The scatter plot of the data is shown<br />

below The R2 value of the exponential model is 0.98.<br />

c.)<br />

!<br />

d<br />

6)<br />

70<br />

60<br />

50<br />

40<br />

Which of the following statements is true?<br />

30<br />

2A<br />

10<br />

0<br />

1800 1900 2uuu<br />

(A) tf an attempt is made at fitting a straight iine model to the original data, the<br />

corresponding residual plot would be approximately linear'<br />

(B) If an attempt is made at fitting a straight line model to the original data, the<br />

corresponding residual plot would be scattered, and shorv no pattem.<br />

(C) lf an attempt is made at fitting a straight line model to the original data, the<br />

corresponding residual plot would be a straight line'<br />

(D) plotting the logarithm of the population per square mile against year should be<br />

approximatelY linear.<br />

(g) plotting the logarithm of the population per square mile against the logarithm of<br />

year should be approximately linear.<br />

Year<br />

Answer<br />

tt<br />

II<br />

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