Question

What type of model should be used to make a prediction from the given data? (0,2), (1,5), (2,6), (3, 5), (4, 3). linear cubic square root quadratic

Answer 1

Quadratic, since the x values are increasing always, and the y values increase then decrease, that means that the data would give a Quadratic looking line.

Answer 2

Answer with explanation:

When you will plot the points in x y plane,

And find the slope between any two points that is , ratio of difference of any two y values to any two x values the ratios are not same.So, the model is not Linear.

And when you will join all these points,as all points lies in first quadrant,so if you will join them, and produce it from both ends, it will cut X axis at two points only. The model can't be cubic also,due to the fact that it has only two zeroes,and it cuts the x axis twice only, also it can't be square root of any function,then it would have only one zero.

So , the Model is Quadratic.