The sca... plot shows the time spent studying, x, and the quiz score, y, for each of 24 students. (a) Write an approximate equation of the line of best fit for the data. It doesn't have to be the exact line of best fit. (b) Using your equation from part (a), predict the quiz score for a student who spent 50 minutes studying. Note that you can use the graphing tools to help you approximate the line.
The sca... plot shows the time spent studying, x, and the quiz score, y, for each of 24 students. (a) Write an approximate equation of the line of best fit for the data. It doesn't have to be the exact line of best fit. (b) Using your equation from part (a), predict the quiz score for a student who spent 50 minutes studying. Note that you can use the graphing tools to help you approximate the line.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
100%
How would I approach this problem?
#### Step-by-Step Guide:
1. **Analyzing the Scatter Plot:**
- Observe the distribution of data points to identify the trend.
- The general trend shows an increase in quiz scores with an increase in study time.
2. **Approximate the Line of Best Fit:**
- You can use the graphing tools to draw a line that best approximates the trend observed in the data points.
3. **Determine the Equation:**
- The equation of the line is generally in the form \( y = mx + b \).
- Use two points on the line to solve for the slope \( m \) and the y-intercept \( b \).
4. **Predict the Quiz Score:**
- Using the equation derived, substitute \( x = 50 \) to predict the quiz score for a student studying for 50 minutes.
#### Example:
1. **Drawing a Line:**
- Consider two points that the line passes through: (10, 30) and (80, 90).
2. **Calculate the Slope \( m \):**
\[
m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{90 - 30}{80 - 10} = \frac{60}{70} \approx 0.857
\]
3. **Determine the Y-Intercept \( b \):**
- Use one of the points](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3f226a19-0ea6-4ef4-9c7e-8b89b8460844%2F5cfc410a-f5f9-4e17-bd71-caf15cb01bfd%2Fpsuroqc_processed.png&w=3840&q=75)
Transcribed Image Text:### Scatter Plot Analysis and Line of Best Fit
The scatter plot below shows the time spent studying, \( x \), and the quiz score, \( y \), for each of 24 students.
#### Tasks:
**(a) Write an approximate equation of the line of best fit for the data.**
- It doesn't have to be the exact line of best fit.
**(b) Using your equation from part (a), predict the quiz score for a student who spent 50 minutes studying.**
Note that you can use the graphing tools to help you approximate the line.
#### Scatter Plot Description:
- **X-axis (horizontal):** Time spent studying (in minutes), ranging from 0 to 100 minutes.
- **Y-axis (vertical):** Quiz score, ranging from 0 to 100.
- **Data Points:** Each '×' represents an individual student’s data on quiz score versus time spent studying.
#### Step-by-Step Guide:
1. **Analyzing the Scatter Plot:**
- Observe the distribution of data points to identify the trend.
- The general trend shows an increase in quiz scores with an increase in study time.
2. **Approximate the Line of Best Fit:**
- You can use the graphing tools to draw a line that best approximates the trend observed in the data points.
3. **Determine the Equation:**
- The equation of the line is generally in the form \( y = mx + b \).
- Use two points on the line to solve for the slope \( m \) and the y-intercept \( b \).
4. **Predict the Quiz Score:**
- Using the equation derived, substitute \( x = 50 \) to predict the quiz score for a student studying for 50 minutes.
#### Example:
1. **Drawing a Line:**
- Consider two points that the line passes through: (10, 30) and (80, 90).
2. **Calculate the Slope \( m \):**
\[
m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{90 - 30}{80 - 10} = \frac{60}{70} \approx 0.857
\]
3. **Determine the Y-Intercept \( b \):**
- Use one of the points
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 3 steps with 1 images
Recommended textbooks for you
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman