Question

The regression line that gives the linear relationship between the number of seeds or pellets eaten and the amount of time to eat the food is predicted amount of time to eat the food = 42.8565 – 0.0554(number of seeds or pellets eaten). Suppose one day Parsnip eats 30 seeds. Based on the regression line, how long do you predict it will take Parsnip to eat these 30 seeds?

Answer 1

Let y be the amount of time to eat the food.

Let x be the number of seeds or pellets eaten.

The given regression line is,

Amount of time to eat the food = 42.8565 – 0.0554(number of seeds or pellets eaten)

or, y = 42.8565 – 0.0554x

It is given for one day Parsnip eats 30 seeds, so x = 30.

The amount of time taken by Parsnip to eat 30 seeds can be predicted by using the above regression line as,

y = 42.8565 – 0.0554x

y = 42.8565 – 0.0554(30)

y = 42.8565 – 1.662

y = 41.1945

Therefore, the amount of time can be taken by Parsnip to eat 30 seeds is 41.1945.