Problem Folklore has it that there is an inverse correlation between mathematical and artistic ability. Suppose you decide to determine whether there is anything to this notion. You randomly sample 10 participants and give them tests measuring these two abilities. + Mathematical Artistic Ability (X) Ability (Y) 16 20 31 23 35 17 18 25 29 24 41 22 39 15 15 11 10 19 26 24 Do the following: 1. Present and discuss the given data using descriptive statistics measurement. Note: (Use measures of center, dispersion, relative position & normal distribution's empirical rule) 2. What is the correlation value between mathematical ability and artistic ability? Interpret result. 3. Is there a significant correlation between mathematical ability and artistic ability at 0.05 level of significance (2-tailed)? What is your conclusion this time?

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Chapter1: Combinatorial Analysis
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Folklore has it that there is an inverse correlation between mathematical and artistic ability.
Suppose you decide to determine whether there is anything to this notion. You randomly sample
10 participants and give them tests measuring these two abilities.
Mathematical
Artistic
Ability (X)
Ability (Y)
16
20
31
23
35
17
18
25
29
24
41
22
39
15
15
11
10
19
26
24
Do the following:
1. Present and discuss the given data using descriptive statistics measurement.
Note:
(Use measures of center, dispersion, relative position & normal distribution's empirical rule)
2. What is the correlation value between mathematical ability and artistic ability? Interpret
result.
3. Is there a significant correlation between mathematical ability and artistic ability at 0.05
level of significance (2-tailed)? What is your conclusion this time?
4. Develop the scatter diagram and predictive equation.
5. If the mathematical ability scores are 5, 28 and 45, what will be the corresponding artistic
ability scores?
Transcribed Image Text:Problem Folklore has it that there is an inverse correlation between mathematical and artistic ability. Suppose you decide to determine whether there is anything to this notion. You randomly sample 10 participants and give them tests measuring these two abilities. Mathematical Artistic Ability (X) Ability (Y) 16 20 31 23 35 17 18 25 29 24 41 22 39 15 15 11 10 19 26 24 Do the following: 1. Present and discuss the given data using descriptive statistics measurement. Note: (Use measures of center, dispersion, relative position & normal distribution's empirical rule) 2. What is the correlation value between mathematical ability and artistic ability? Interpret result. 3. Is there a significant correlation between mathematical ability and artistic ability at 0.05 level of significance (2-tailed)? What is your conclusion this time? 4. Develop the scatter diagram and predictive equation. 5. If the mathematical ability scores are 5, 28 and 45, what will be the corresponding artistic ability scores?
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