Final answer:
The linear regression equation for the price of pizza based on the number of toppings is y = 10x - 0.5. The coefficient of 'x' represents the slope of the line, and the constant term represents the y-intercept. The correct option is D. y = 10x - 0.5
Step-by-step explanation:
The linear regression equation for the price of pizza based on the number of toppings in the data table is y = 10x - 0.5. In this equation, 'y' represents the price of the pizza and 'x' represents the number of toppings. The coefficient of 'x' is the slope of the line, which indicates how much the price of the pizza increases for each additional topping. The constant term, -0.5, represents the y-intercept, which is the price of the pizza when there are no toppings.
To find the equation of best fit, the data needs to be plotted on a scatter plot and the line that best fits the data is drawn by eye. The line is then used to determine the slope and y-intercept to form the regression equation.
Based on the given options, the correct linear regression equation for the price of pizza based on the number of toppings is D. y = 10x - 0.5.