**Exploring the Relationship Between Study Time and Exam Scores**### Research QuestionWhat is the relationship between the amount of time statistics students study per week and their final exam scores? The survey results are as follows:| Time (hours) | 11 | 5 | 7 | 1 | 2 | 7 | 4 ||--------------|----|---|---|---|---|---|---|| Score | 82 | 68| 70| 63| 62| 74| 78| 69 |### Steps in Analysis1. **Correlation Coefficient Calculation:** - Formula: \( r = \) ______ (Round to 2 decimal places.)2. **Hypothesis Testing:** - Null and alternative hypotheses for correlation: - \( H_0: \rho = 0 \) - \( H_1: \rho \neq 0 \)3. **P-Value Interpretation:** - P-value: ______ (Round to four decimal places.)4. **Hypothesis Test Conclusion:** - Use a significance level (\( \alpha = 0.05 \)) to state your conclusion.5. **Coefficient of Determination:** - \( r^2 = \) ______ (Round to 2 decimal places.) - Interpretation of \( r^2 \): __(Select an answer)__6. **Linear Regression Equation:** - Equation: \( \hat{y} = \) ______ + ______ \( x \) (Please show your answers to two decimal places.)7. **Prediction Using the Model:** - Predict the final exam score for a student studying 7 hours per week: - Final exam score = ______ (Round to the nearest whole number.)8. **Interpretation of the Regression Line:** - Slope interpretation: __(Select an answer)__ - Y-intercept interpretation: __(Select an answer)__This analysis will help determine the nature of the relationship between study time and exam scores, allowing you to make informed educational decisions based on data.

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Answered: g. e. The equation of the linear…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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