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Max Wind Speed (mph) Central Pressure (mb) 110 920 145 922 135 925 110 931 130 934 120 934 125 936 100 937 115 938

Max Wind Speed (mph)

Central Pressure (mb)

110

920

145

922

135

925

110

931

130

934

120

934

125

936

100

937

115

938

130

941

90

942

100

942

110

945

105

945

100

945

65

946

105

946

105

946

115

948

100

949

100

949

100

950

110

950

110

950

110

950

105

950

105

950

100

951

105

952

100

953

105

953

100

954

100

954

100

955

105

955

105

955

105

955

95

955

65

955

95

955

90

956

100

957

90

957

95

958

100

959

100

959

100

959

100

960

100

960

100

960

110

960

100

960

90

960

100

961

80

961

100

962

90

962

100

963

90

963

80

963

90

964

95

964

90

964

70

965

90

965

90

965

90

965

95

965

85

967

90

969

90

969

90

969

90

969

90

969

90

969

90

969

90

969

90

969

90

969

90

969

70

970

70

970

90

970

90

970

95

970

100

971

75

971

90

972

85

972

85

972

70

972

90

973

85

973

85

973

85

973

80

973

85

973

85

973

65

973

85

973

80

973

85

973

85

973

90

974

90

975

90

975

80

976

80

976

75

976

80

977

80

977

80

977

80

977

80

977

85

979

75

979

80

979

80

980

75

980

75

981

75

981

75

981

65

982

70

983

75

983

70

984

70

984

70

985

70

985

70

985

70

985

70

985

70

985

70

985

70

985

70

985

70

985

70

985

70

985

70

985

70

985

70

985

70

985

55

985

70

985

70

985

70

985

70

985

70

985

70

985

70

985

70

985

65

985

75

986

70

986

70

987

80

987

70

987

70

987

65

988

65

988

55

989

65

989

70

990

75

990

65

990

65

991

65

993

65

1002

Hurricanes have low pressure at their center. This pulls in moist air and generates high wind speeds. The file HurricaneWindPressure.xlsx contains data from National Hurricane Center (NHC), National Oceanic and Atmospheric Administration (NOAA) on the wind speed and central pressure for 163 hurricanes that have hit the US since 1851. For comparison, standard sea level pressure is 1013 millibars (mb) or 29.9 inches of mercury. Hurricane Katrina had a central pressure of 902 mb and wind speed of 175 mph.

1. Use central pressure to predict maximum wind speed:

(a) Which variable is the response variable?

(b) Make a scatterplot of wind speed against central pressure. Label the graph and each axis.

(c) Insert the trend line and r squared value on your scatterplot.

(d) What is the correlation between wind speed and central pressure? What 2 specific things does this value of correlation, r, tell you about the relationship between wind speed and central pressure?

2.

(a) Using the regression equation, use Hurricane Katrinas central pressure to predict its wind speed.

(b) What is the residual for Katrina? (Residual = Actual value Predicted value) .

(c) Have Excel find the residuals for all the central pressure values.

(d) Plot the residuals against central pressure in a scatterplot.

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