Line or Curve of Best Fit

When using Desmos to find the curve of best fit, what do I need to enter first?

• y₁ ~ ax₁² +bx₁ + c

• the equation

• the table/chart of values

• the vertex

What would the equation be that best fits this data?:

{(-15, 53.5), (-14, 28), (-3, 18), (0, 4), (6, 27), (14, 50)}

• y = .17x²+.45x+12.43

• y = .16x²+.45x+12.42

• y = -.04x + 30

• y = -.03x + 30

The table shows the average braking distance of a car at various speeds.  Use a quadratic model to predict the breaking distance at 70mph.  

• 245 ft

• 225 ft

• 285 ft

• 265 ft

Using the curve of best fit, what would be the output (y) when the input (x) is 7?

• 260

• 240

• 140

• 320

Calculate the quadratic regression function for this table of values to the nearest tenth.

• f(x) =
   2x² - 9x + 10

• f(x)=
   3x² + 9x - 10

• f(x) =
   3.1x² - 9.2x - 10.3

• f(x) =
  2.1x² - 8.6x + 10.1

Line on a scatterplot that fits most points.

• Line of Best Fit

• Positive Correlation

• Parallel Lines

• Horizontal

  Line

Fancy term that means equation

• Regression

• Equals

• Vertex

• Algebra

Shown is a residual plot. Would a linear regression model of the data be most appropriate?

• YES

• NO

What is a line of best fit used for?

• To make predictions

• To make the graph look pretty

• To connect the points

Shown is a residual plot. Would a linear regression model of the data be most appropriate?

• YES

• NO