Suppose Ms. Carr is interested in the relationship between her students' 9th grade math final exam scores and the number of hours they spent studying during the year. She collects information for 15 ninth grade students and uses it to obtain the regression equation, where ?x is the number of hours spent studying during the year and ?̂ is the predicted final exam score.?̂ =1.48?+75.64The scatter plot displays her results.What is the predicted ?̂ value when a student spends 13 hours studying? Round your answer to one decimal place.Select the correct interpretation. The above predicted value of ?̂ isthe predicted final math test score if a student studies 13 hours during the year.the predicted score of 13 out of 15 students.what any student will score on the final exam if they study at least 13 hours.the math final test score that 13 students beat. **Graph Explanation: Relationship Between Study Time and Math Test Scores**The graph displayed shows the relationship between the study time (in hours) and the math test scores (in points). ### Axes:- The **x-axis** (horizontal axis) represents the study time in hours, ranging from 0 to approximately 35 hours.- The **y-axis** (vertical axis) represents the math test scores in points, ranging from 0 to 120 points.### Data Points:The red points on the graph indicate individual data observations, with each point representing a specific combination of study time and corresponding test scores.### Observations:1. At around 5 hours of study time, the test score is approximately 80 points.2. Between 5 and 10 hours of study time, there is a slight increase in test scores.3. From 10 to 20 hours of study time, there is a noticeable upward trend in test scores.4. Between 20 and approximately 35 hours of study time, the test scores plateau around 110 to 120 points.### Conclusion:The trend observed in the graph suggests that increased study time generally leads to higher math test scores, though the rate of improvement decreases after around 20 hours of study, indicating a plateau in performance gains. This graph can be used to understand the correlation between time spent studying and performance in math tests, emphasizing the concept of diminishing returns as more time is invested.

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Answered: Suppose Ms. Carr is interested in the…

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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Suppose Ms. Carr is interested in the relationship between her students' 9th grade math final exam scores and the number of hours they spent studying during the year. She collects information for 15 ninth grade students and uses it to obtain the regression equation, where ?x is the number of hours spent studying during the year and ?̂ is the predicted final exam score.

?̂ =1.48?+75.64

The scatter plot displays her results.

What is the predicted ?̂ value when a student spends 13 hours studying? Round your answer to one decimal place.

Select the correct interpretation. The above predicted value of ?̂ is

the predicted final math test score if a student studies 13 hours during the year.

the predicted score of 13 out of 15 students.

what any student will score on the final exam if they study at least 13 hours.

the math final test score that 13 students beat.

**Graph Explanation: Relationship Between Study Time and Math Test Scores**

The graph displayed shows the relationship between the study time (in hours) and the math test scores (in points).

### Axes:
- The **x-axis** (horizontal axis) represents the study time in hours, ranging from 0 to approximately 35 hours.
- The **y-axis** (vertical axis) represents the math test scores in points, ranging from 0 to 120 points.

### Data Points:
The red points on the graph indicate individual data observations, with each point representing a specific combination of study time and corresponding test scores.

### Observations:
1. At around 5 hours of study time, the test score is approximately 80 points.
2. Between 5 and 10 hours of study time, there is a slight increase in test scores.
3. From 10 to 20 hours of study time, there is a noticeable upward trend in test scores.
4. Between 20 and approximately 35 hours of study time, the test scores plateau around 110 to 120 points.

### Conclusion:
The trend observed in the graph suggests that increased study time generally leads to higher math test scores, though the rate of improvement decreases after around 20 hours of study, indicating a plateau in performance gains.

This graph can be used to understand the correlation between time spent studying and performance in math tests, emphasizing the concept of diminishing returns as more time is invested.

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