sta404 assignment no 1 solution spring 2021

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Requirement 1:

In an Experiment to measure the stiffness of a spring the length of the spring under different:

x	y
3	10
5	12
6	15
9	18
10	20
12	22
15	27
20	30
22	32
28	34

Find the Regression equation and interprets the results?

X	Y	𝑿𝟐	𝒀𝟐	XY
3	10	9	100	30
5	12	25	144	60
6	15	36	225	90
9	18	81	324	162
10	20	100	400	200
12	22	144	484	264
15	27	225	729	405
20	30	400	900	600
22	32	484	1024	704
28	34	784	1156	952
∑ 𝑥 = 130	∑ 𝑌 = 220	∑ 2 𝑋 = 2288	∑ 2 𝑌 = 5486	∑ 𝑥𝑦 = 3467

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