The table below gives the number of hours spent unsupervised each day as well as the overall grade averages for seven randomly selected middle school students. Using this data, consider the equation of the regression line, ý = bo + bjx, for predicting the overall grade average for a middle school student based on the number of hours spent unsupervised each day. 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 Unsupervised 0. 1.5 4.5 5.5 Overall Grades 87 86 79 78 76 67 65 Table Copy Data Step 2 of 6: Find the estimated y-intercept. Round your answer to three decimal places. E Tables E Keypad AnswerHow to enter your answer (opens in new window Keyboard Shortcuts

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The table below gives the number of hours spent unsupervised each day as well as the overall grade averages for seven randomly selected middle school students. Using this data, consider the equation of the regression line, \(\hat{y} = b_0 + b_1 x\), for predicting the overall grade average for a middle school student based on the number of hours spent unsupervised each day. 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 Unsupervised | 0 | 1 | 1.5 | 3 | 4 | 4.5 | 5.5 |
|--------------------|---|---|-----|---|---|-----|-----|
| Overall Grades     | 87| 86| 79  | 78| 76| 67  | 65  |

Step 2 of 6: Find the estimated y-intercept. Round your answer to three decimal places.

**Answer:** [Input box for answer]

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**Explanation:**
The table provides data on the hours middle school students spend unsupervised alongside their overall grades. To predict grades based on time spent without supervision, a regression analysis is considered. The goal here is to determine the y-intercept (\(b_0\)) of the regression line, ensuring accuracy by rounding to three decimal places.
Transcribed Image Text:The table below gives the number of hours spent unsupervised each day as well as the overall grade averages for seven randomly selected middle school students. Using this data, consider the equation of the regression line, \(\hat{y} = b_0 + b_1 x\), for predicting the overall grade average for a middle school student based on the number of hours spent unsupervised each day. 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 Unsupervised | 0 | 1 | 1.5 | 3 | 4 | 4.5 | 5.5 | |--------------------|---|---|-----|---|---|-----|-----| | Overall Grades | 87| 86| 79 | 78| 76| 67 | 65 | Step 2 of 6: Find the estimated y-intercept. Round your answer to three decimal places. **Answer:** [Input box for answer] --- **Explanation:** The table provides data on the hours middle school students spend unsupervised alongside their overall grades. To predict grades based on time spent without supervision, a regression analysis is considered. The goal here is to determine the y-intercept (\(b_0\)) of the regression line, ensuring accuracy by rounding to three decimal places.
The image contains a text discussing a data set and regression analysis related to middle school students. Here is a transcription and explanation suitable for an educational website:

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The table below gives the number of hours spent unsupervised each day as well as the overall grade averages for seven randomly selected middle school students. Using this data, consider the equation of the regression line, \( \hat{y} = b_0 + b_1 x \), for predicting the overall grade average for a middle school student based on the number of hours spent unsupervised each day. 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 Unsupervised | 0 | 1 | 1.5 | 3 | 4 | 4.5 | 5.5 |
|--------------------|---|---|-----|---|---|-----|-----|
| Overall Grades     | 87 | 86 | 79  | 78 | 76 | 67  | 65  |

**Step 1 of 6**: Find the estimated slope. Round your answer to three decimal places.

Answer: [How to enter your answer (opens in new window)]

Graph/Diagram Explanation:
The table presents data with two variables: "Hours Unsupervised" and "Overall Grades". The objective is to develop a regression line equation to predict grades based on unsupervised hours. The problem requires calculating the slope of the regression line based on the given data points.

--- 

This transcription and explanation provides a clear understanding of the task and data involved for viewers on an educational website.
Transcribed Image Text:The image contains a text discussing a data set and regression analysis related to middle school students. Here is a transcription and explanation suitable for an educational website: --- The table below gives the number of hours spent unsupervised each day as well as the overall grade averages for seven randomly selected middle school students. Using this data, consider the equation of the regression line, \( \hat{y} = b_0 + b_1 x \), for predicting the overall grade average for a middle school student based on the number of hours spent unsupervised each day. 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 Unsupervised | 0 | 1 | 1.5 | 3 | 4 | 4.5 | 5.5 | |--------------------|---|---|-----|---|---|-----|-----| | Overall Grades | 87 | 86 | 79 | 78 | 76 | 67 | 65 | **Step 1 of 6**: Find the estimated slope. Round your answer to three decimal places. Answer: [How to enter your answer (opens in new window)] Graph/Diagram Explanation: The table presents data with two variables: "Hours Unsupervised" and "Overall Grades". The objective is to develop a regression line equation to predict grades based on unsupervised hours. The problem requires calculating the slope of the regression line based on the given data points. --- This transcription and explanation provides a clear understanding of the task and data involved for viewers on an educational website.
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