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In: Advanced Math

Does Elevation Affect Temperature Mid-June? Suppose that you wanted to determine the effect, if any, that...


Does Elevation Affect Temperature Mid-June?
Suppose that you wanted to determine the effect, if any, that elevation has on temperature. The table below lists the elevations (in feet above sea level) of 24 randomly selected cities in the United States and the low temperatures (in degrees Fahrenheit) of these cities on June 15, 2020.

Elevation

1365

−282

5280

4551

6910

6063

3875

2730

7

1201

2001

1843

Low Temp.

56

79

56

56

39

55

42

51

74

63

73

48

Elevation

3202

2389

4226

1550

2134

2080

−7

141

909

50

338

1086

Low Temp.

64

73

56

53

58

57

80

55

74

56

69

78

  1. If Westerville is 875 feet above sea level, what is Westerville’s estimated low temperature for June 15, 2020?
  1. Before performing any regression analyses, what is the benefit of noting that the lowest and highest values amongst the elevation data are −282 feet and 6910 feet, respectively?

  1. What proportion of the variation in low temperatures can be explained by the linear relationship with elevation?

Give one example of a lurking variable that may also influence the response variable in this situation

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