Question

The four data sets below were created by statistician Francis Anscomb. They show why it is important to examine the scatter plots for your data, in addition to finding the correlation coefficient, in order to evaluate the appropriateness of fitting a linear model.

Set 1		Set 2		Set 3		Set 4
x	y	x	y	x	y	x	y
10	8.04	10	9.14	10	7.46	8	6.58
8	6.95	8	8.14	8	6.77	8	5.76
13	7.58	13	8.74	13	12.74	8	7.71
9	8.81	9	8.77	9	7.11	8	8.84
11	8.33	11	9.26	11	7.81	8	8.47
14	9.96	14	8.1	14	8.84	8	7.04
6	7.24	6	6.13	6	6.08	8	5.25
4	4.26	4	3.1	4	5.39	19	12.5
12	10.84	12	9.13	12	8.15	8	5.56
7	4.82	7	7.26	7	6.42	8	7.91
5	5.68	5	4.74	5	5.73	8	6.89

a) Find the least squares regression line and the correlation coefficient for Set 1. (Round your answers to two decimal places.)

regression line

ŷ =________x +________

Find the least squares regression line and the correlation coefficient for Set 2. (Round your answers to two decimal places.)

regression line

ŷ =

________ x + ________

Find the least squares regression line and the correlation coefficient for Set 3. (Round your answers to two decimal places.)

regression line

ŷ =_________

x +___________

Find the least squares regression line and the correlation coefficient for Set 4. (Round your answers to two decimal places.)

regression line

ŷ =_________

x + ________

Answer 1

Hello Sir/ Mam

Using excel's Data analysis:

(a)

	Coefficients
Intercept	3.00
x	0.50

Regression Line:

(b)

	Coefficients
Intercept	3.00
x	0.50

Regression Line:

(c)

	Coefficients
Intercept	3.00
x	0.50

Regression Line:

(d)

	Coefficients
Intercept	3.00
x	0.50

Regression Line:

I hope this solves your doubt.

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