Question

Plot function:

a) Create a vector for the x variable
b) Select any function (it could be as simple as an equation for a line or a sine or cosine function)
c) Set y equal to the function of x
d) Use the plot function to plot the data
e) Add axis labels, a title.

Answer 1

To plot a function, create a vector for the x variable, select a function, set y as a function of x, plot the data, and add axis labels and a title. For statistical analysis, draw a scatter plot, find the least-squares regression line, and consider the correlation coefficient.

Step-by-step explanation:

To plot a function, start by creating a vector for the x variable. Choose a simple function, such as a linear equation or a trigonometric function, and set y equal to the function of x. Afterward, use a plotting tool to plot the data, making sure to add axis labels and a title for clarity.

Example Process:

1. Define the x variable: x = -10:0.1:10; (a vector from -10 to 10 with increments of 0.1)
2. Select a function, for instance, y = sin(x);
3. Plot the data using the plot function: plot(x, y);
4. Add labels and a title: xlabel('x-axis label'); ylabel('y-axis label'); title('Graph Title');

To determine the relationship between the variables, draw a scatter plot of the data. Use the regression function to calculate and plot the least-squares regression line represented by the equation ý = a + bx. Analyze the plot to see if there is a discernible relationship between the two variables.

If conducting a statistical analysis, compute the correlation coefficient to assess the strength and direction of the linear relationship between the variables. It is also possible to make predictions based on the regression line, such as estimating average heights at different ages.

Remember to label each axis with the variable name and units, and choose an appropriate scale for each axis that accommodates all data points.