The data set below shows the breaking distance base on reaction distance. Use technology to find the equation and coefficient of determination for each type of regression model. Use the reaction distance for the input values and the braking distance for the output variable. Round all decimal values to three decimal places before putting them into the regression equations.
Reaction Distance 9 16.7 27 20.6 30 27.7
Braking Distance 7.0 29.1 26.9 59.2 73.6 19.6
In the answer box state which model Linear, Quadratic or Exponential is the best fit for the data. In the answer box Type a number 1 if Linear is best and type a 2 if quadratic is best or type a 3 if exponential is best. The work you attach to support your answer must show the chart below completed. Along with an explanation has to how you knew the model you picked was the best (HINT: Compare the Coefficients of Determination in your explanation) IMPORTANT: if you have not attached work then you will not earn any of the 12points for this problem, for full points the chart below must be completed on the work you attach along with the required explanation for your model choice.
Model Type Equation of Regression Model Equation of Regression Model Coefficient of determination
Linear
Quadratic
Exponential (standard form)
Your Answer:
