Write the best-fit linear model for the data.
-The paired data below consist of the test scores of 6 randomly selected students and the number of hours they studied for the test. The linear model for this data is $y = 67.3 + 1.07 x$, where $x$ is number of hours studied and $y$ is score on the test. Use this model to predict the score on the test of a student who studies 13 hours.
$$\begin{array} { l | l l l l l l }
\text { Hours } & 5 & 10 & 4 & 6 & 10 & 9 \
\hline\text {Score}&64&86&69&86&59&87
\end{array}$$

A) 86.2
B) 86.8
C) 76.2
D) 81.2

Question

Write the best-fit linear model for the data.
-The paired data below consist of the test scores of 6 randomly selected students and the number of hours they studied for the test. The linear model for this data is $y = 67.3 + 1.07 x$, where $x$ is number of hours studied and $y$ is score on the test. Use this model to predict the score on the test of a student who studies 13 hours.
$$\begin{array} { l | l l l l l l } 
\text { Hours } & 5 & 10 & 4 & 6 & 10 & 9 \
\hline\text {Score}&64&86&69&86&59&87
\end{array}$$

A) 86.2
B) 86.8
C) 76.2
D) 81.2

Quizplus · Accepted Answer

Using the linear model $y = 67.3 + 1.07x$, substitute $x = 13$ to get $y = 67.3 + 1.07(13) = 81.21$, which rounds to 81.2.

Write the Best-Fit Linear Model for the Data y=67.3+1.07xy = 67.3 + 1.07 xy=67.3+1.07x

Write the Best-Fit Linear Model for the Data $y = 67.3 + 1.07 x$