Use the regression feature of a graphing utility to find a logarithmic model $y = a + b \ln x$ for the data.
$( 1,3 ) , ( 2,4 ) , ( 3,4.5 ) , ( 4,5 ) , ( 5,5.1 ) , ( 6,5.2 ) , ( 7,5.5 )$
A) $y = 3.030 + 1.470 \ln x$
B) $y = 3.022 + 1.758 \ln x$
C) $y = 3.115 + 0.842 \ln x$
D) $y = 3.083 + 1.257 \ln x$
E) $y = 3.167 + 0.555 \ln x$

Question

Quizplus · Accepted Answer

Using a graphing utility and performing logarithmic regression with the given data, we obtain the model $y = 3.083 + 1.257 \ln x$. This model fits the data well and has the best correlation coefficient of all the choices. Therefore, the answer is D.

Use the Regression Feature of a Graphing Utility to Find y=a+bln⁡xy = a + b \ln xy=a+blnx

Use the Regression Feature of a Graphing Utility to Find $y = a + b \ln x$