We are interested in understanding how variable X affects variable Y. The figure illustrates the {Y,X} pairs for individuals that are randomly drawn from a population. Each gray dot represents the {Y,X} pairs, i.e. observations. The figure also depicts three lines which are sample conditional mean function, mean of Y, and linear regression function. (a) Match the lines with line types. The line types are defined as "solid", "square" and "triangle"). Write the line type next to the definition. 1. Sample Conditional Mean Function 2. Linear Regression Line 3. Mean of Y (b) TRUE/FALSE \& Explain 1. The information in figure can be used to construct the joint distributions of Y and X. 2. We can calculate marginal distributions of Y and X using the data. 3. The conditional sample mean function is uninformative. 4. On average, if X incresses by one unit, Y decreases. 5. We need to estimate two parameters to draw the linear regression line. We are interested in understanding how variable X affects variable Y. The figure illustrates the {Y,X} pairs for individuals that are randomly drawn from a population. Each gray dot represents the {Y,X} pairs, i.e. observations. The figure also depicts three lines which are sample conditional mean function, mean of Y, and linear regression function. (a) Match the lines with line types. The line types are defined as "solid", "square" and "triangle"). Write the line type next to the definition. 1. Sample Conditional Mean Function 2. Linear Regression Line 3. Mean of Y (b) TRUE/FALSE \& Explain 1. The information in figure can be used to construct the joint distributions of Y and X. 2. We can calculate marginal distributions of Y and X using the data. 3. The conditional sample mean function is uninformative. 4. On average, if X incresses by one unit, Y decreases. 5. We need to estimate two parameters to draw the linear regression line