Question

For all calculations, please keep two decimals for the final answer.

A researcher wants to predict 40 Yard Dash score (Y) from the number of Sit-ups (X) using the data set below (Table 1).

Develop the regression equation

Explain your equation.

If a student can do 33 sit-ups, use the regression equation that you developed to predict his/her 40 Yard Dash score. Also calculate the residual.

Show all work

ID	Sit-Ups (X)	40-Yard Dash (Y)
1	39	6.9
2	31	7.5
3	35	7.4
4	32	7.3
5	20	8.3
6	23	9
7	37	7.2
8	34	7.7
9	44	7.2
10	40	7.1
11	33	7.6
12	22	7.6

Answer 1

Equation:

score = -0.05945 * Situps + 9.49882

When situp is zero, score is 9.49

When situp inc by 1, score decreases by 0.059

Situps = 33

score = -0.05945 * 33 + 9.49882

score = 7.53697

Residual = 7.6 - 7.53697 = 0.06303