A patient is given a drip feed containing a particular chemical and its concentration in his blood

is measured, in suitable units, at one hour intervals. The doctors believe that a linear

relationship will exist between the variables.

Time (x) Concentration(y) (Time)

2

(Concentration)

2

(Time)*(Concentration)

0 2.4 0 5.76 0

1 4.3 1 18.49 4.3

2 5 4 25 10

3 6.9 9 47.61 20.7

4 9.1 16 82.81 36.4

5 11.4 25 130 57

6 13.4 36 179.6 80.4

= 21 , = 52.5 ,

2 = 91 ,

2 = 489.2 , = 208.8 , = 7

1. Draw a scatter diagram from the data given and interpret it

2. Estimates the parameter of the least square regression equation

a) Find the slope ""

a. Find the intercept ""

3. Find the least square regression equation

4. Estimate the amount of concentration in his blood at time equal 8

5. Find the correlation coefficient between time and concentration and interpret it.

6. Determine the coefficient of determination and interpret it