The table below gives the number of hours five randomly selected students spent studying and their corresponding midterm exam grades. Using this data, consider the equation of the regression line, y = bo + bix, for predicting the midterm exam grade that a student will earn based on the number of hours spent studying. Keep in mind, the correlation coefficient may or may not be statistically significant for the data given. Remember, in practice, it would not be appropriate to use the regression line to make a prediction if the correlation coefficient is not statistically significant. Hours Studying 0 1 Midterm Grades 68 69 2 3 5 73 77 85 Step 6 of 6: Find the value of the coefficient of determination. Round your answer to three decimal places. Table Copy Data
The table below gives the number of hours five randomly selected students spent studying and their corresponding midterm exam grades. Using this data, consider the equation of the regression line, y = bo + bix, for predicting the midterm exam grade that a student will earn based on the number of hours spent studying. Keep in mind, the correlation coefficient may or may not be statistically significant for the data given. Remember, in practice, it would not be appropriate to use the regression line to make a prediction if the correlation coefficient is not statistically significant. Hours Studying 0 1 Midterm Grades 68 69 2 3 5 73 77 85 Step 6 of 6: Find the value of the coefficient of determination. Round your answer to three decimal places. Table Copy Data
Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:HOUGHTON MIFFLIN HARCOURT
Chapter11: Data Analysis And Displays
Section11.5: Choosing A Data Display
Problem 19E
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![The text presents a scenario where five randomly selected students' study hours and their corresponding midterm grades are analyzed. The table below summarizes the data:
\[
\begin{array}{|c|c|c|c|c|c|}
\hline
\text{Hours Studying} & 0 & 1 & 2 & 3 & 5 \\
\hline
\text{Midterm Grades} & 68 & 69 & 73 & 77 & 85 \\
\hline
\end{array}
\]
A regression line, represented by the equation \( \hat{y} = b_0 + b_1 x \), is considered to predict the midterm exam grades based on study hours. It is noted that the correlation coefficient needs to be statistically significant for the regression line to be a valid predictor. Without significance, predictions from the regression would not be appropriate.
**Step 6 of 6**: The task here is to find the coefficient of determination and round the result to three decimal places.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6accde57-4151-4a64-887a-ef329464b649%2Ff86c6d1a-e985-4556-8440-3c8b1ca74352%2F2gbexjj_processed.png&w=3840&q=75)
Transcribed Image Text:The text presents a scenario where five randomly selected students' study hours and their corresponding midterm grades are analyzed. The table below summarizes the data:
\[
\begin{array}{|c|c|c|c|c|c|}
\hline
\text{Hours Studying} & 0 & 1 & 2 & 3 & 5 \\
\hline
\text{Midterm Grades} & 68 & 69 & 73 & 77 & 85 \\
\hline
\end{array}
\]
A regression line, represented by the equation \( \hat{y} = b_0 + b_1 x \), is considered to predict the midterm exam grades based on study hours. It is noted that the correlation coefficient needs to be statistically significant for the regression line to be a valid predictor. Without significance, predictions from the regression would not be appropriate.
**Step 6 of 6**: The task here is to find the coefficient of determination and round the result to three decimal places.
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