A restaurant sells pizza for the prices in the data table. Calculate the linear regression equation of the data.*

The linear regression equation of the restaurant pizza sales is

To do this, we make use of a graphing calculator.

From the graphing calculator, we have:

A linear regression equation is represented as:

Where:

So, we have:

Also, we have:

So, we have:

Recall that:

So, we have:

Hence, the linear regression equation is

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y = 1.5x + 12

Step-by-step explanation:

Let the equation that represents the number of toppings (x) and price of pizza (y) is,

y = mx + b

If we plot the points given in the table,

m = Slope of the line

b = y-intercept

Since, slope of a line passing through two points and is given by,

m =

Therefore, slope of a line passing through (0, 12) and (1, 13.5) will be,

m =

m = 1.5

Here slope of the line represents the increase in price of a pizza with increase in each topping.

y-intercept of the line 'b' = 12 (For x = 0)

Now we put these values in the equation.

y = 1.5x + 12

Therefore, linear regression equation of the line is,

y = 1.5x + 12

250

step-by-step explanation: