Question

In: Math

1. Here is a link to a data set comparing proficiency in a second language to...

1. Here is a link to a data set comparing proficiency in a second language to the density of grey matter in the human brain.

What is the correlation coefficient for these data? Use either the =correl(array1,array2) formul in excel, or the correlation feature in the Data Analysis ToolPak Add-in for Excel to determine the correlation coefficient.

Report your answer to four decimal places.

Subject 2nd Language Proficiency

Grey Matter Density
1 0.26 -0.07
2 0.44 -0.08
3 0.89 -0.008
4 1.26 -0.009
5 1.69 -0.023
6 1.97 -0.009
7 1.98 -0.036
8 2.24 -0.029
9 2.24 -0.008
10 2.58 -0.023
11 2.5 -0.006
14 3.85 0.022
15 3.04 0.018
16 2.55 0.023
17 2.5 0.022
18 3.11 0.036
19 3.18 0.059
20 3.52 0.062
21 3.59 0.049
22 3.4 0.033

A. Based on the correlation analysis performed on the density of grey matter and proficiency in a second language, which of the following statements are reasonable conjectures?

(select all correct answers)

People that are only proficient in one language will have denser grey matter than people who are proficient in a second language.

People that are only proficient in one language will have less dense grey matter than people who are proficient in a second language.

People that are proficient in multiple languages will have less dense grey matter than people that are not proficient in a second language.

People that are proficient in multiple languages will have denser grey matter than people who are not proficient in a second language.

C.

Based on the calculated correlation coefficient in the problem concerning the correlation of grey matter density and proficiency in a second language, how would you describe the correlation?

strong negative

weak negative

weak positive

No correlation

strong positive

Solutions

Expert Solution

What is the correlation coefficient for these data?

The correlation coefficient for this data is given as 0.8507 (by using excel).

Based on the correlation analysis performed on the density of grey matter and proficiency in a second language, which of the following statements are reasonable conjectures?

People that are proficient in multiple languages will have denser grey matter than people who are not proficient in a second language.

(Because there is a strong positive linear correlation or association exists between the given two variables.)

Based on the calculated correlation coefficient in the problem concerning the correlation of grey matter density and proficiency in a second language, how would you describe the correlation?

Strong positive

(Because correlation coefficient between two variables is given as 0.8507 which indicate a strong positive linear relationship between two variables)

milcah answered 8 months ago
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