Question

Use the given data to find the equation of the regression line. Examine the scatterplot and...

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.)

Homework Answers

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

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