Question

B. Use your calculator to find the regression line y = mx + b for men where x is the number of years since 2000 and y is the number of men. Complete the regression equation below. M(x) =

c. Repeat the above steps with the data for women.

Answer 1

The question involves the steps to analyze data with a calculator, create a scatter plot, calculate the least-squares regression line, and interpret the results to make predictions.

Step-by-step explanation:

The task involves analyzing data sets to determine the relationship between two variables. The process includes:

• Entering the data into a calculator.
• Creating a scatter plot to visualize the relationship between the independent variable (x) and the dependent variable (y).
• Calculating the least-squares regression line using the calculator's regression function to obtain the best-fit line.
• Adding the regression equation to the scatter plot from the first step.
• Interpreting the y-intercept and the significance of the correlation coefficient.
• Making predictions based on the regression line calculated.

The least-squares regression line is usually represented as ŷ = a + bx, where a is the y-intercept and b represents the slope of the line. In the context of forecasting, it's essential to consider the applicable range of data to avoid extrapolation errors.

Answer 2

b. The representation of the regression equation for men can be expressed as M(x) = mx + b. c. By repeating the steps for women the equation takes the form W(x) = mx + b.

Step-by-step explanation:

b. In order to determine the regression line for men, it is necessary to input the data into a calculator and generate a scatter plot.

Utilizing the regression function on the calculator allows the derivation of the equation for the least-squares regression line.

Typically in the form of y = mx + b, where m denotes the slope and b signifies the y-intercept.

The representation of the regression equation for men can be expressed as M(x) = mx + b.

c. Similarly, the procedure is repeated for women by entering their data into the calculator.

Constructing a scatter plot, and applying the regression function to ascertain the equation of the least-squares regression line for women.

This equation for women takes the form W(x) = mx + b.