# Statistics

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Need this assignment done in 2 hours (8pm central time)

TabbyK
School: UCLA

Math | Graded Assignment | Unit Test, Part 2 | Relationships Between Variables

Name:

Date:

Relationships Between Variables
Answer the questions below. When you have finished, submit this assignment to your teacher by the due date for
full credit.
Total score: ____ of 24 points
(Score for Question 1: ___ of 12 points)

The table shows the life expectancy of females and males in a sample of 10 countries.
Country

Female

Male

India

64

62

Norway

82

77

Bolivia

66

62

Ghana

59

58

Austria

82

76

South Africa

56

51

United Kingdom

81

76

Myanmar

63

57

China

74

70

Panama

77

72

(a) Create a scatter plot for the data on the grid. Identify any clusters or outliers.
A scatter plot for the data is as follows:

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Page 1 of 6

Math | Graded Assignment | Unit Test, Part 2 | Relationships Between Variables

Male and Female life expectancy

(b) Use technology to find the equation of the least squares regression line, the correlation coefficient,
and the coefficient of determination. Round each to three decimal places. Sketch the line in the
scatter plot. Interpret the correlation coefficient and the coefficient of determination.
The equation of the least squares regression line is sketched as follows:

Copying or distributing without K12’s written consent is prohibited.

Page 2 of 6

Math | Graded Assignment | Unit Test, Part 2 | Relationships Between Variables

The equation is y = 0.9216x + 1.2188, where y = male life expectancy and x = female life expectancy.
The correlation coefficient from excel calculations is 0.988
The coefficient of determination is 0.976 from excel analysis.
Interpretation: The correlation coefficient measures the linear relationship between male life expectancy
and female life expectancy. A correlation coefficient of 0.988 shows a positive and very relationship between male
life expectancy and female life expectancy. In this regard, an increase in the male life expectancy is accompanied
by an increase in female lif...

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