A researcher wants to investigate the relationship between the hours a student spends studying for a test and the score on the test. The following data is gathered: Hours (x) 20 16 34 23 27 32 18 22 Score (y) 6.5 8.5 7 9.5 7.5 (X-X)(Y-F) | (x-X)? Annual (X-X) salary, $1000 Years of (Y-Ÿ) (Y-F)² schooling 20 6.5 -4 -1.25 5 16 1.5625 16 6. -8 -1.75 14 64 3.0625 34 8.5 10 0.75 7.5 100 0.5625 23 7 -1 -0.75 0.75 1 0.5625 27 9 3 1.25 3.75 9. 1.5625 32 9.5 8. 1.75 14 64 3.0625 7.5 -6 -0.25 1.5 36 0.0625 22 8 -2 0.25 -0.5 4 0.0625 192 62 46 294 10.5 Calculate: a. The regression line of y based on x. b. The estimated test score for a person who studied 28 hours. m NN 0

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question
A researcher is investigating the relationship between the hours a student spends studying for a test (x) and their score on the test (y). The data collected is as follows:

| Hours (x) | 20 | 16 | 34 | 23 | 27 | 32 | 18 | 22 |
|-----------|---|---|---|---|---|---|---|---|
| Score (y) | 6.5 | 6 | 8.5 | 7 | 9 | 9.5 | 7.5 | 8 |

Additionally, the following calculations are provided in the table:

| Years of schooling | Annual salary, $1000 | (X-̄X̄) | (Y-̄Ȳ) | (X-̄X̄)(Y-̄Ȳ) | (X-̄X̄)² | (Y-̄Ȳ)² |
|--------------------|-------------------|------|------|--------------|--------|--------|
| 20                 | 6.5               | -4   | -1.25| 5            | 16     | 1.5625 |
| 16                 | 6                 | -8   | -1.75| 14           | 64     | 3.0625 |
| 34                 | 8.5               | 10   | 0.75 | 7.5          | 100    | 0.5625 |
| 23                 | 7                 | -1   | -0.75| 0.75         | 1      | 0.5625 |
| 27                 | 9                 | 3    | 1.25 | 3.75         | 9      | 1.5625 |
| 32                 | 9.5               | 8    | 1.75 | 14           | 64     | 3.0625 |
| 18                 | 7.5               | -6   | -0.25| 1.5          | 36     | 0.0625 |
| 22                 | 8                 | -2   | 0.25 | -0.5         | 4      | 0.0625 |
| **Total**
Transcribed Image Text:A researcher is investigating the relationship between the hours a student spends studying for a test (x) and their score on the test (y). The data collected is as follows: | Hours (x) | 20 | 16 | 34 | 23 | 27 | 32 | 18 | 22 | |-----------|---|---|---|---|---|---|---|---| | Score (y) | 6.5 | 6 | 8.5 | 7 | 9 | 9.5 | 7.5 | 8 | Additionally, the following calculations are provided in the table: | Years of schooling | Annual salary, $1000 | (X-̄X̄) | (Y-̄Ȳ) | (X-̄X̄)(Y-̄Ȳ) | (X-̄X̄)² | (Y-̄Ȳ)² | |--------------------|-------------------|------|------|--------------|--------|--------| | 20 | 6.5 | -4 | -1.25| 5 | 16 | 1.5625 | | 16 | 6 | -8 | -1.75| 14 | 64 | 3.0625 | | 34 | 8.5 | 10 | 0.75 | 7.5 | 100 | 0.5625 | | 23 | 7 | -1 | -0.75| 0.75 | 1 | 0.5625 | | 27 | 9 | 3 | 1.25 | 3.75 | 9 | 1.5625 | | 32 | 9.5 | 8 | 1.75 | 14 | 64 | 3.0625 | | 18 | 7.5 | -6 | -0.25| 1.5 | 36 | 0.0625 | | 22 | 8 | -2 | 0.25 | -0.5 | 4 | 0.0625 | | **Total**
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 2 images

Blurred answer
Knowledge Booster
Rate of Change
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
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 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…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
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
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman