Question

DRIVE TIME VS. DRIVING TEST SCORE Drive Time (hours) 25 Driving Test Score (%) Linear Regression Equation:y=1.365x+39.431 86 5 52 Correlation coefficient:r=0.767 15 30 Predict your driving test score if you spent 50 hours driving. 40 95 35 91 Does your answer above seem reasonable? Explain. 29 72 10 67 er notes

Answer 1

start by remembering that the drive time is the x on the equation and the score will be the y on the equation.

`\begin{gathered} y=1.365x+39.431 \\ \text{replace 50 on the x} \\ y=1.365(50)+39.431 \\ y=107.681 \end{gathered}`

the test score will be about 107.681%

The answer above does not seem reasonable because the maximum score you can obtain is 100%, this is because the correlation coefficient is 0.767 which means that the data is not model correctly, it should be model with a different type of equation so that the answer is more precise.