Question

Find the best predicted systolic blood pressure in the left arm given that the systolic blood pressure in the right arm is 100 mm Hg.

Right Arm	102	101	94	79	79
Left Arm	175	169	182	146	144

a) State the least square equation.
b) Is the model adequate? Explain. What test determines this?

Answer 1

a)

Since, we know that

Degree of freedom (df) can be found out by n-2, where n is number of data points

df = n-2

df = 5-2

df = 3

critical value @ (df = 3 and \alpha = 0.01) = 0.959

Since, r = 0.8671 is between -0.959 and 0.959. Therefore, r is not significant

Since, we know that

Degree of freedom (df) can be found out by n-2, where n is number of data points

df = n-2

df = 5-2

df = 3

\alpha = 0.1

critical value @ (df = 3 and \alpha = 0.1) = 0.805

Since, r = 0.8671 is greater than 0.805. Therefore, r is significant

so it is significant at alpha =0.1 but not below that