Question

Using the trend line y = 8x + 8, for the data shown, complete the residual table.
Distance (mi)
2
2.5
3
3.5
4
Time (min)
23
28
34
34
40
Distance (mi)
2
2.5
3
3.5
4
Time (min)

Answer 1

Answer:

-1,0,2,-2,0 in that order

Step-by-step explanation:

Answer 2

The residual refers to the difference between the actual and predicted value of a dataset. Using the regression equation given to obtain the predicted values, the residual values are : - 1, 0, - 2, 2, 0

Distance, x :

At x = 2 :

y = 8(2) + 8 = 24

Residual = 23 - 24 = - 1

At x = 2.5:

y = 8(2.5) + 8 = 28

Residual = 28 - 28 = 0

At x = 3 :

y = 8(3) + 8 = 32

Residual = 32 - 34 = -2

At x = 3.5 :

y = 8(3.5) + 8 = 36

Residual = 36 - 34 = 2

At x = 4 :

y = 8(4) + 8 = 40

Residual = 40 - 40 = 0

Therefore, the residual values of the dataset is - 1, 0, - 2, 2, 0

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