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 15 participants and give them tests measuring these two abilities. The resulting data are shown here. Mathematical Ability (X) Artistic 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. 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?
INSTRUCTION:
Provide the table first for the presentation of numerical answers and make a discussion below it. After the discussion, present your solution (the process on how you come up with the answer). The solution may be presented through manual computation or Excel.
Problem:
Folklore has it that there is an inverse
The resulting data are shown here.
Mathematical Ability (X) Artistic 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
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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