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Get Full Access to Mathematics For The International Student: Mathematics Sl - 3 Edition - Chapter 21 - Problem 2
Get Full Access to Mathematics For The International Student: Mathematics Sl - 3 Edition - Chapter 21 - Problem 2

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# For the following scatter diagrams, comment on: i the existence of any pattern ISBN: 9781921972089 446

## Solution for problem 2 Chapter 21

Mathematics for the International Student: Mathematics SL | 3rd Edition

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Problem 2

For the following scatter diagrams, comment on: i the existence of any pattern (positive, negative or no correlation) ii the relationship strength (zero, weak, moderate or strong) iii whether the relationship is linear iv whether there are any outliers. ab c de f Suppose we wish to examine the relationship between the length of a helical spring and the mass that is hung from the spring. The force of gravity on the mass causes the spring to stretch. The length of the spring depends on the force applied, so the dependent variable is the length. The following experimental results are obtained when objects of varying mass are hung from the spring: Mass w (grams) 0 50 100 150 200 250 Length L (cm) 17:7 20:4 22:0 25:0 26:0 27:8 For each addition of 50 grams in mass, the consecutive increases in length are roughly constant. There appears to be a strong positive correlation between the mass of the object hung from the spring, and the length of the spring. The relationship appears to be linear, with no obvious outliers. L cm w grams 15 20 25 30 0 50 100 150 200 250 length (cm) L mass (g) w y x y x y x y x y

Step-by-Step Solution:
Step 1 of 3

L8 - 9 √ Recall: x = ex. Find the following: ▯ 1 a)x→0+ x 1+ x2 ▯ 1 b) limx 1+ x→0− x2 ▯ 1 c)x→0m x1+ x2

Step 2 of 3

Step 3 of 3

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