The table below gives the amount of time students in a class studied for a test and their test scores. Graph the data on a scatter plot, find the line of best fit, and write the equation for the line you draw.
\begin{tabular}{|l|l|l|l|l|l|l|l|l|}
\hline Hours Studied & 1 & 0 & 3 & 1.5 & 2.75 & 1 & 0.5 & 2 \\
\hline Test Score & 78 & 75 & 90 & 89 & 97 & 85 & 81 & 80 \\
\hline
\end{tabular}
Linear Regression Equation:
Correlation Coefficient (r):
Type of Correlation:
Is the correlation strong? Explain
Using the linear regression equation predict
a student's test score if they studied for 4 hours.
Answer
Predict the test score for a student who studied for 4 hours: \( \boxed{98.11} \)
Step 1 ：Calculate the Linear Regression Equation: y = 7.54x + 76.54
Step 2 ：Calculate the Correlation Coefficient (r): 0.786
Step 3 ：Determine the Type of Correlation: Positive
Step 4 ：Determine if the correlation is strong: Yes, because the correlation coefficient is close to 1
Step 5 ：Predict the test score for a student who studied for 4 hours: \( \boxed{98.11} \)
