1. Would you expect a positive, negative, or zero correlative between each of the following pairs of variables? a. Heights of mothers and daughters b. Age and reaction time in the adult population c. Natural gas usage and prevailing (outside) temperature d. Reading skill and shoe size in the population of individuals over 18 2. A researcher hypothesized that there is a relationship between self-esteem and social responsibility, which increases with age. The researcher gave self-esteem and social responsibility inventories to two sets of people: a group of 10 high school students and 10 adults. The data collected are given below (SE = self- esteem; SR = social responsibility). High School Students SE. 10 12 13 MOHSH60 9 11 5 14 8 10 SR 21 20 16 18 19 17 19 10 13 20 SE 13 15 12 14 8 6 12 11 9 14 Adults HERHARDUERE SR 23 24 21 20 18 12 19 18 15 20 years old a. Calculate the correlation for adults given the values below. (Let X = SE, Y = SR) Σ ΧΥ = 2248; Σ Χ2 = 1376; Σ Υ = 3724; Σ Χ = 114; Σ Υ = 190

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**EDFN 1090/1092 Assignment #5**

1. Would you expect a positive, negative, or zero correlative between each of the following pairs of variables?

   a. Heights of mothers and daughters
   
   b. Age and reaction time in the adult population
   
   c. Natural gas usage and prevailing (outside) temperature
   
   d. Reading skill and shoe size in the population of individuals over 18 years old

2. A researcher hypothesized that there is a relationship between self-esteem and social responsibility, which increases with age. The researcher gave self-esteem and social responsibility inventories to two sets of people: a group of 10 high school students and 10 adults. The data collected are given below (SE = self-esteem; SR = social responsibility).

   | High School Students |        | Adults  |        |
   |----------------------|--------|---------|--------|
   | SE.                  | SR     | SE      | SR     |
   | 10                   | 21     | 13      | 23     |
   | 12                   | 20     | 15      | 24     |
   | 13                   | 16     | 12      | 21     |
   | 9                    | 18     | 14      | 20     |
   | 11                   | 19     | 8       | 18     |
   | 5                    | 17     | 6       | 12     |
   | 14                   | 19     | 12      | 19     |
   | 6                    | 10     | 10      | 11     |
   | 8                    | 13     | 9       | 15     |
   | 10                   | 20     | 14      | 20     |
   
   a. Calculate the correlation for adults given the values below.
   
   (Let \( X = \text{SE}, Y = \text{SR} \))

   \[
   \Sigma XY = 2248; \quad \Sigma X^2 = 1376; \quad \Sigma Y^2 = 3724; \quad \Sigma X = 114; \quad \Sigma Y = 190
   \]
Transcribed Image Text:**EDFN 1090/1092 Assignment #5** 1. Would you expect a positive, negative, or zero correlative between each of the following pairs of variables? a. Heights of mothers and daughters b. Age and reaction time in the adult population c. Natural gas usage and prevailing (outside) temperature d. Reading skill and shoe size in the population of individuals over 18 years old 2. A researcher hypothesized that there is a relationship between self-esteem and social responsibility, which increases with age. The researcher gave self-esteem and social responsibility inventories to two sets of people: a group of 10 high school students and 10 adults. The data collected are given below (SE = self-esteem; SR = social responsibility). | High School Students | | Adults | | |----------------------|--------|---------|--------| | SE. | SR | SE | SR | | 10 | 21 | 13 | 23 | | 12 | 20 | 15 | 24 | | 13 | 16 | 12 | 21 | | 9 | 18 | 14 | 20 | | 11 | 19 | 8 | 18 | | 5 | 17 | 6 | 12 | | 14 | 19 | 12 | 19 | | 6 | 10 | 10 | 11 | | 8 | 13 | 9 | 15 | | 10 | 20 | 14 | 20 | a. Calculate the correlation for adults given the values below. (Let \( X = \text{SE}, Y = \text{SR} \)) \[ \Sigma XY = 2248; \quad \Sigma X^2 = 1376; \quad \Sigma Y^2 = 3724; \quad \Sigma X = 114; \quad \Sigma Y = 190 \]
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