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Give an example of two variables that have a positive linear correlation. Give a

ID: 3260956 • Letter: G

Question

Give an example of two variables that have a positive linear correlation. Give an example of two variables that have a negative linear correlation. Give an example of two variables that have no correlation.

Height and Weight: The height (in inches) and weights (in pounds) of eleven football players are shown in this table.

Height, x

62

63

66

68

70

72

73

74

74

75

75

Weight, y

195

190

250

220

250

255

260

275

280

295

300

x = 65 inches

x = 69 inches

x = 71 inches

Height, x

62

63

66

68

70

72

73

74

74

75

75

Weight, y

195

190

250

220

250

255

260

275

280

295

300

Explanation / Answer

There are three types of correlation

1.Positive correlation:A positive correlation is a relationship between two variables where if one variable increases, the other one also increases. A positive correlation also exists in one decreases and the other also decreases.

Common Examples of Positive Correlations

2.Negative correlation: when one variable decreases, the other increases. The vice versa is a negative correlation too, in which one variable increases and the other decreases. These correlations are studied in statistics as a means of determining the relationship between two variables.

Common Examples of Negative Correlation

3). Zero correlation:

Zero correlation is expressed when two random variables have a zero affect on the other.

Examples of Zero Correlation: The more weight you gain, the smarter you will be. (Intelligence is not affected by weight).

Zero correlation is expressed when two random variables have a zero affect on the other.

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