Final answer:
The correct matches are A with topic 2, B with topic 1, and C with topic 3. In statistical analysis, it's crucial to define independent and dependent variables, draw a scatter plot, perform regression analysis, and interpret the results to understand relationships between variables.
Step-by-step explanation:
The correct matching of discussions with their respective statistical analysis topics is:
- A. Discussion of the trend or association between the variables matches with 2. Trend or association between variables.
- B. Discussion about how well the linear model fits the data corresponds to 1. Linear model fitting.
- C. Discussion about how well the quadratic model fits the data is aligned with 3. How well the quadratic model fits the data. Note that 4. Repetition of option 3 is essentially saying the same as option 3.
When discussing statistical analysis, it is essential to:
- a. Decide independent and dependent variables.
- b. Draw a scatter plot to visualize the data.
- c. Use regression to find the line of best fit and the correlation coefficient.
- d. Interpret the significance of the correlation coefficient.
- e. Analyze whether there is a linear relationship between the variables.
For instance, if you were to predict the height of an individual based on age, you would use age as the independent variable and height as the dependent variable. Upon drawing a scatter plot, one could visually inspect the data to discern if there appears to be a relationship. Subsequently, you would calculate the regression line and the correlation coefficient to quantify the relationship's strength and direction.