Question

Use the given data to find the equation of the regression line. Examine the scatterplot and identify a characteristic of the data that is ignored by the regression line.

x	1414	1212	1515	88	1010	77	1313	99	1111	66	55
y	8.348.34	9.469.46	7.247.24	7.467.46	9.189.18	6.086.08	9.089.08	8.508.50	9.509.50	4.344.34	2.242.24

ModifyingAbove y with caret y=______+______x

​ (Round to two decimal places as​ needed.)

Answer 1

X	y	XY	X^2	Y^2
14	8.34	116.76	196	69.5556
12	9.46	113.52	144	89.4916
15	7.24	108.6	225	52.4176
8	7.46	59.68	64	55.6516
10	9.18	91.8	100	84.2724
7	6.08	42.56	49	36.9664
13	9.08	118.04	169	82.4464
9	8.5	76.5	81	72.25
11	9.5	104.5	121	90.25
6	4.34	26.04	36	18.8356
5	2.24	11.2	25	5.0176

From the above table and formula we get thecvalue are as;

n	11
sum(XY)	869.20
sum(X)	110.00
sum(Y)	81.42
sum(X^2)	1210.00
sum(Y^2)	657.15

b	0.5000
a	2.4018

ModifyingAbove y with caret y = a + bx

y = 2.40 + 0.50x