1. Correlation Coefficient -1 0 1 Negative No Positive Correlation Correlation Correlation

2. Correlation Coefficient -1 0 1 Negative No Positive Correlation Correlation Correlation

3. Correlation Coefficient -1 0 1 Negative No Positive Correlation Correlation Correlation

4. Correlation Coefficient -1 0 1 Negative No Positive Correlation Correlation Correlation

5. Correlation Coefficient -1 0 1 Negative No Positive Correlation Correlation Correlation The closer r, the correlation coefficient, is to 1 or -1, the stronger the relationship. The closer r is to 0, the weaker the correlation (little to no relationship in the data) -0.9765 is just as strong as 0.9765 It just happens to be that -0.9765 is a strong negative correlation and 0.9765 is a strong positive correlation.

6. Interpret Correlation Coefficient “Talk about it” Given the scenario: Hypothesis: The more students study, the higher the English test scores are. Data: Results: a= b= r= x12345 y7283829498

7. Interpret Correlation Coefficient “Talk about it” Given the scenario: Hypothesis: The more students study, the higher the English test scores are. Data: Results: a= 6.3 b= 66.9 r= 0.962084 x12345 y7283829498

8. Interpret Correlation Coefficient “Talk about it” Given the scenario: Hypothesis: The more students study, the higher the English test scores are. Data: Results: a= 6.3 b= 66.9 r= 0.962084 x12345 y7283829498 The equation for the line of best fit will be y = 6.3x + 66.9 r = 0.962084 which is a good correlation coefficient. It is a Positive Correlation

9. Interpret Correlation Coefficient “Talk about it” Given the scenario: Hypothesis: The more pounds of sand I use, the less pounds of rock I need to fill a patio. Data: Results: a= b= r= x03.56.211.817.3 y116.181.643.519.812

10. Interpret Correlation Coefficient “Talk about it” Given the scenario: Hypothesis: The more pounds of sand I use, the less pounds of rock I need to fill a patio. Data: Results: a= -5.963 b= 100.88 r= - 0.93458 x03.56.211.817.3 y116.181.643.519.812

11. Interpret Correlation Coefficient “Talk about it” Given the scenario: Hypothesis: The more pounds of sand I use, the less pounds of rock I need to fill a patio. Data: Results: a= -5.963 b= 100.88 r= - 0.93458 x03.56.211.817.3 y116.181.643.519.812 The equation for the line of best fit will be y = - 5.963x + 100.88 r = - 0.934584 which is a decent correlation coefficient. It is a Negative Correlation

12. Interpret Correlation Coefficient “Talk about it” Given the scenario: Hypothesis: The more pounds of sand I use, the less pounds of rock I need to fill a patio. Data: Results: a= -5.963 b= 100.88 r= - 0.93458 x03.56.211.817.3 y116.181.643.519.812 The equation for the line of best fit will be y = - 5.963x + 100.88 r = - 0.934584 which is a decent correlation coefficient. It is a Negative Correlation What does the y-intercept tell us?

13. Interpret Correlation Coefficient “Talk about it” Given the scenario: Hypothesis: The more pounds of sand I use, the less pounds of rock I need to fill a patio. Data: Results: a= -5.963 b= 100.88 r= - 0.93458 x03.56.211.817.3 y116.181.643.519.812 When x = 0, y = 116.1 Since x represents the pounds of sand and y represents the pounds of rock, the point (0, 116.1) means when I use 0 pounds of sand I need 116.1 pounds of rock. When x = 0, y = 116.1 Since x represents the pounds of sand and y represents the pounds of rock, the point (0, 116.1) means when I use 0 pounds of sand I need 116.1 pounds of rock. What does the y-intercept tell us?

14. Interpret Correlation Coefficient “Talk about it” Given the scenario: Hypothesis: The more pounds of sand I use, the less pounds of rock I need to fill a patio. Data: Results: a= -5.963 b= 100.88 r= - 0.93458 x03.56.211.817.3 y116.181.643.519.812 When x = 0, y = 116.1 Since x represents the pounds of sand and y represents the pounds of rock, the point (0, 116.1) means when I use 0 pounds of sand I need 116.1 pounds of rock. When x = 0, y = 116.1 Since x represents the pounds of sand and y represents the pounds of rock, the point (0, 116.1) means when I use 0 pounds of sand I need 116.1 pounds of rock. What does the y-intercept tell us? (0, 116.1)

15. Interpret Correlation Coefficient “Talk about it” Given the scenario: Data: Results: a= -1.417114 b= 133.8899 r= - 0.36601 x16152229 y53812520074 The equation for the line of best fit will be y = - 1.417x + 133.89 r = - 0.36601 which is a really close to zero and therefore we can assume there is no correlation here.