Final answer:
The student is instructed to analyze the relationship between two variables in a dataset, including creating a scatter plot, finding the least-squares regression line and correlation coefficient, and discussing the trend and strength of the association.
Step-by-step explanation:
The student's task involves selecting a dataset and analyzing the relationship between two variables, identified as x and y. The steps required include:
- Choosing the independent and dependent variables.
- Drawing a scatter plot to visualize the data.
- Calculating and drawing a least-squares regression line on the scatter plot, presenting it in the equation form ý = a + bx.
- Finding the correlation coefficient to determine the strength and significance of the relationship between the variables.
- Analyzing the trend, shape, and strength of the association.
These steps are fundamental in regression analysis, which seeks to model the relationship between variables and can be visualized through the scatter plot and trendline.