<prompt> Suggest a linear regression equation from the following data.x: 5, 9, 15y: 12, 18, 28  <response>: Based on the given data x: 5, 9, 15; y:12, 18, 28, a possible linear regression equation is y 1.96x 1.40.Let me explain how I arrived at this equation.The first step in linear regression is to calculate the slope of the line, m. This calculation can be done using the formula:m mean of x mean of y - mean of x y mean of x2 - mean of x2 where mean of x is calculated by dividing the sum of all x values by the number of data points; and mean of x y is calculated by multiplying each x value by its corresponding y value, adding all these products, and then dividing by the number of data points.Using the formula, We can easily calculate as:Mean of x 5 9 15 3 9.67Mean of y 12 18 28 3 19.33Mean of x y 5 12 9 18 15 28 3 201Mean of x2 52 92 152 3 107m 9.67 19.33 - 201 9.672 - 107 1.96The next step is to calculate the y-intercept, b. This calculation can be done using the formula:b mean of y - mmean of xb 19.33 - 1.969.67 1.4Therefore, the linear regression equation can be written as y 1.96x 1.4 or in general form, it could be y mx c. 