S-17. For the following data set, get the regression line,
plot the data and the regression line on the same
screen, and report the value of the correlation
coefficient.
x 2 4 6 8 10
y 5 9 15 17 21
S-18. For the following data set, get the regression line,
plot the data and the regression line on the same
screen, and report the value of the correlation
coefficient.
x 2 4 6 8 10
y 5 9 20 17 21
S-19. For the following data set, get the regression line,
plot the data and the regression line on the same
screen, and report the value of the correlation
coefficient.
x 2 4 6 8 10
y 5 3 0 1 0
S-20. For the following data set, get the regression line,
plot the data and the regression line on the same
screen, and report the value of the correlation
coefficient.
x 2 4 6 8 10
y 1 0 21 3 2
S-21. For the following data set, get the regression line,
plot the data and the regression line on the same
screen, and report the value of the correlation
coefficient.
x 2 4 6 8 10
y 22 0 2 22 0 accurate answers, show working, and break it down

Here are the results for each data set:

1. **S-17**:
   - Regression line: \( y = 2.00x + 1.40 \)
   - Correlation coefficient (\( R \)): 0.99

2. **S-18**:
   - Regression line: \( y = 2.00x + 2.40 \)
   - Correlation coefficient (\( R \)): 0.90

3. **S-19**:
   - Regression line: \( y = -0.60x + 5.40 \)
   - Correlation coefficient (\( R \)): -0.88

4. **S-20**:
   - Regression line: \( y = 0.25x + 3.90 \)
   - Correlation coefficient (\( R \)): 0.09

5. **S-21**:
   - Regression line: \( y = -1.10x + 15.80 \)
   - Correlation coefficient (\( R \)): -0.30

Would you like further details or have any questions about any of these results?

Here are 5 related questions to explore:

1. What does the correlation coefficient tell you about the strength and direction of the relationship?
2. How do positive and negative slopes affect the interpretation of the regression line?
3. Why is the correlation coefficient for S-17 close to 1?
4. Can a regression line still be useful when the correlation coefficient is close to zero?
5. How would the regression change if outliers were added or removed from the data?

**Tip**: A correlation coefficient near 1 or -1 suggests a strong linear relationship, while values near 0 suggest a weak relationship.

For the following data set, get the regression line, plot the data and the regression line on the same screen, and report the value of the correlation coefficient.
x 2 4 6 8 10
y 5 9 15 17 21

S-18. For the following data set, get the regression line, plot the data and the regression line on the same screen, and report the value of the correlation coefficient.
x 2 4 6 8 10
y 5 9 20 17 21

S-19. For the following data set, get the regression line, plot the data and the regression line on the same screen, and report the value of the correlation coefficient.
x 2 4 6 8 10
y 5 3 0 1 0

S-20. For the following data set, get the regression line, plot the data and the regression line on the same screen, and report the value of the correlation coefficient.
x 2 4 6 8 10
y 1 0 21 3 2

S-21. For the following data set, get the regression line, plot the data and the regression line on the same screen, and report the value of the correlation coefficient.
x 2 4 6 8 10
y 22 0 2 22 0

Learn how to calculate the regression line and correlation coefficient for various data sets. This solution covers linear regression equations, correlation coefficients, and the least squares method. Data sets include: (2, 5), (4, 9), (6, 15), (8, 17), and more.

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