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### Predicting Exam Scores Based on Student Absences A teacher wants to know whether the number of student absences predicts exam scores. The data are presented below: | Student | Number of Absences | Exam Grade | |---------|--------------------|------------| | 1 | 4 | 85 | | 2 | 8 | 70 | | 3 | 3 | 88 | | 4 | 6 | 80 | | 5 | 5 | 71 | | 6 | 1 | 92 | #### Tasks **a. Specify the research hypothesis and the null hypothesis in words.** - **Research Hypothesis:** The number of student absences has a negative effect on exam scores. - **Null Hypothesis:** The number of student absences does not affect exam scores. **b. Specify the Model A/C Comparison and the null hypothesis in statistical terms.** - **Model A/C Comparison:** Define the relationship between the number of absences (independent variable) and exam scores (dependent variable) using statistical analysis. - **Null Hypothesis:** There is no statistically significant relationship between the number of absences and exam scores. **c. Calculate the slope; in other words, calculate \( b_1 \).** - The slope (\( b_1 \)) represents the change in the exam score for each additional absence. **d. Calculate the intercept; in other words, calculate \( b_0 \).** - The intercept (\( b_0 \)) represents the expected exam score when the number of absences is zero.

### Predicting Exam Scores Based on Student Absences A teacher wants to know whether the number of student absences predicts exam scores. The data are presented below: | Student | Number of Absences | Exam Grade | |---------|--------------------|------------| | 1 | 4 | 85 | | 2 | 8 | 70 | | 3 | 3 | 88 | | 4 | 6 | 80 | | 5 | 5 | 71 | | 6 | 1 | 92 | #### Tasks **a. Specify the research hypothesis and the null hypothesis in words.** - **Research Hypothesis:** The number of student absences has a negative effect on exam scores. - **Null Hypothesis:** The number of student absences does not affect exam scores. **b. Specify the Model A/C Comparison and the null hypothesis in statistical terms.** - **Model A/C Comparison:** Define the relationship between the number of absences (independent variable) and exam scores (dependent variable) using statistical analysis. - **Null Hypothesis:** There is no statistically significant relationship between the number of absences and exam scores. **c. Calculate the slope; in other words, calculate \( b_1 \).** - The slope (\( b_1 \)) represents the change in the exam score for each additional absence. **d. Calculate the intercept; in other words, calculate \( b_0 \).** - The intercept (\( b_0 \)) represents the expected exam score when the number of absences is zero.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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### Predicting Exam Scores Based on Student Absences A teacher wants to know whether the number of student absences predicts exam scores. The data are presented below: | Student | Number of Absences | Exam Grade | |---------|--------------------|------------| | 1 | 4 | 85 | | 2 | 8 | 70 | | 3 | 3 | 88 | | 4 | 6 | 80 | | 5 | 5 | 71 | | 6 | 1 | 92 | #### Tasks **a. Specify the research hypothesis and the null hypothesis in words.** - **Research Hypothesis:** The number of student absences has a negative effect on exam scores. - **Null Hypothesis:** The number of student absences does not affect exam scores. **b. Specify the Model A/C Comparison and the null hypothesis in statistical terms.** - **Model A/C Comparison:** Define the relationship between the number of absences (independent variable) and exam scores (dependent variable) using statistical analysis. - **Null Hypothesis:** There is no statistically significant relationship between the number of absences and exam scores. **c. Calculate the slope; in other words, calculate \( b_1 \).** - The slope (\( b_1 \)) represents the change in the exam score for each additional absence. **d. Calculate the intercept; in other words, calculate \( b_0 \).** - The intercept (\( b_0 \)) represents the expected exam score when the number of absences is zero.
Transcribed Image Text:### Predicting Exam Scores Based on Student Absences A teacher wants to know whether the number of student absences predicts exam scores. The data are presented below: | Student | Number of Absences | Exam Grade | |---------|--------------------|------------| | 1 | 4 | 85 | | 2 | 8 | 70 | | 3 | 3 | 88 | | 4 | 6 | 80 | | 5 | 5 | 71 | | 6 | 1 | 92 | #### Tasks **a. Specify the research hypothesis and the null hypothesis in words.** - **Research Hypothesis:** The number of student absences has a negative effect on exam scores. - **Null Hypothesis:** The number of student absences does not affect exam scores. **b. Specify the Model A/C Comparison and the null hypothesis in statistical terms.** - **Model A/C Comparison:** Define the relationship between the number of absences (independent variable) and exam scores (dependent variable) using statistical analysis. - **Null Hypothesis:** There is no statistically significant relationship between the number of absences and exam scores. **c. Calculate the slope; in other words, calculate \( b_1 \).** - The slope (\( b_1 \)) represents the change in the exam score for each additional absence. **d. Calculate the intercept; in other words, calculate \( b_0 \).** - The intercept (\( b_0 \)) represents the expected exam score when the number of absences is zero.
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