**Exploring the Relationship Between Study Time and Exam Scores**This study examines the relationship between the amount of time statistics students study per week and their final exam scores. The survey results shown below provide insights into this relationship.**Data:**- **Time (hours per week):** 11, 5, 7, 1, 2, 1, 7, 4, 4- **Score (exam score):** 82, 68, 70, 63, 62, 54, 78, 69**Instructions:**a. **Find the Correlation Coefficient:** - \( r = \) _____ (Round to 2 decimal places)b. **The Null and Alternative Hypotheses for Correlation Are:** - \( H_0: \rho = 0 \) - \( H_1: \rho \neq 0 \)c. **The p-value Is:** - _____ (Round to four decimal places)d. **Hypothesis Test Conclusion:** - Use a level of significance of \( \alpha = 0.05 \) to state the conclusion of the hypothesis test in the context of the study. - [Select an answer]e. **\( r^2 = \):** - _____ (Round to two decimal places)f. **Interpret \( r^2 \):** - [Select an answer]g. **Equation of the Linear Regression Line:** - \( \hat{y} = \) _____ + _____\( x \) - (Please show your answers to two decimal places)h. **Predict Exam Score for 7 Hours of Study:** - Use the model to predict the final exam score for a student who spends 7 hours per week studying. - Final exam score = _____ (Please round your answer to the nearest whole number)i. **Interpret the Slope:** - [Select an answer]j. **Interpret the y-intercept:** - [Select an answer]This exercise is designed to help understand how statistical tools can be used to analyze real-world data and interpret the results in a meaningful way.

What is the relationship between the amount of time statistics students study per week and their final exam scores? The results of the survey are shown below. Time 11 5 7 1| 2| 1 7| 4 Score 82 68 70 63 62 54 78 | 69 x-values y-values a Find the correlation coefficient: r = b. The null and attenative hypotheses for correlation arer Ho: ?v Round to 2 decimal places. o-The p-value is: (Round to four decimal places) d. Use a level of significance of a= of the study. Select an answer 0.05 to state the conclusion of the hypothesis test in the context e. r2 (Round to two decimal places) f. Interpret r: Select an answer