Question

Can hair length be used to predict the height of a person? To try to answer this, the following random subset of data were collected from our class’s data:

Hair length:       8        12        18        24        1        4          24        2                   

                       

Height:            68       60        61        67        67        70        68        70

1. Create a scatter plot of the data
2. Find the equation of the regression line
3. Calculate the correlation coefficient.

Answer 1

X: Hair length

Y: Height

1)Scatter plot

2)

Sr.No.	x	y	x^2	y^2	xy
1	8	68	64	4624	544
2	12	60	144	3600	720
3	18	61	324	3721	1098
4	24	67	576	4489	1608
5	1	67	1	4489	67
6	4	70	16	4900	280
7	24	68	576	4624	1632
8	2	70	4	4900	140
Total	93	531	1705	35347	6089

Xbar = 93 / 8 = 11.625

Ybar = 531 / 8 = 66.375

r = -0.333