# Which subset of characters follow fairly linear relationship ?

#### rsvp1920

##### New Member
ALPHA and BETA are two physical quantities:

A is dependent variable (Y-Axis) and B is independent variable (X-Axis).

Values of ALPHA range from 50 to 250. (with steps of 50 i.e. 50, 100, 150, 200, 250 )

Values of BETA range from -2 to 3. (with steps of 1 i.e. -2, -1, 0, 1, 2, 3)

Following points are to be plotted on the graph made by ALPHA and BETA.

R(-0.9,175)

K(-0.9,170)

E(-0.5,140)

D(-0.7,110)

N(-0.3,120)

Q(0,145)

S(0.1,80)

G(0.1,60)

H(0.2,150)

T(0.40,120)

A(0.5,80)

P(0.9,125)

Y(1.25,190)

M(1.45,165)

V(1.35,140)

C(1.80,110)

L(1.9,170)

I(1.95,170)

F(1.95,180)

W(2.5,235)

PLOT these points on ALPHA vs BETA GRAPH.

For which subset of characters(above mentioned points), there is fairly linear relationship and for which subset of characters does it deviate the most ? Is there any need to find errors also ? How would we assure whatever answer we have got is correct ? (Any verification method?)

I know it is very simple statistics problem. PLEASE REPLY SOON. Since I am a beginner in Statistics, I don't know how to solve this problem.

#### noetsi

##### No cake for spunky
The only way to answer this is to plot the data (say on a scatter plot) and look at it There is no theory that will answer this. You can either eye the graph and see which points appear to be linear or non-linear or you could generate a regression line and look at the residuals (how far each point is from the line). These are the error terms. I am not sure how you would "verify" this formally as linearity is not statistically tested normally.