Question

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Answer 1

	Overhead width (x)	Weight (y)	X^2	Y^2	XY
1	7.2	115	51.84	13225	828
2	7.6	187	57.76	34969	1421.2
3	9.6	239	92.16	57121	2294.4
4	9.3	201	86.49	40401	1869.3
5	8.8	202	77.44	40804	1777.6
6	8.2	183	67.24	33489	1500.6
Total	50.7	1127	432.93	220009	9691.1

The scattter plot has the 'x' values on the x-axis and corresponding 'y' onthe y-axis. The intersection of 'x' and 'y' are the points on the graph.

300 200 100 7 10

plot A

Correlation coefficient 'r' gives the information about the direction and the strength ofthe relationship between the variables.

Correlation oefficient

Y = η(Στy) - (Στ) (Σ9) η Σ2 - (Σκ) νηΣ 92 – (Σ9)?

Ans : r = 0.8665

This shows a strong and positive relation.

Next we want to test if there is significant relationship between the varibles.

We reject the null hypothesis if |r| > C.V.

Null: $\rho=0$

Alternative:$\rho\neq 0$

two tailed test

C.v. at 0.01

= C.V. _{df , 0.01/2}

= 0.834 ........using the tables with p = 0.005 and df = n-2 or N = 6

There is evidence to conlcude a significant relationship.

Since |r | is greater than positive C.V.. there is suffiicent evidence....at 0.01.