Question 13

The table gives the relationship between the height, in metres, of a plant and the number of days it is left to grow.

Number of days

10 20 30 40 50 60 70 80
Height (y) 1.0 1.1 1.2 1.4 1.6 1.8 2.0 2.3

(x) (a) Using a scale of 2 cm to represent 0.5 units on the y- axis and 2cm to 10 units on the x- axis, draw a scatter diagram for the information.

(b) Find \(\bar{x}\), the mean of x, and \(\bar{y}\), the mean of y, and plot \((\bar{x}, \bar{y})\) on the diagram.

(c) Draw the line of best fit to pass through \((\bar{x}, \bar{y})\) and \((10, 1)\).

(d) From graph, find the :

(i) equation of the line of best fit ; (ii) height of plant in 75 days.

 

Theory

Question details

Exam body
WAEC
Subject
Further Mathematics
Year
2013
Question no.
#13
Type
Theory

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