STAT 200 Penn State University Hurricanes Statistical Analysis Worksheet

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Mathematics

stat 200

Pennsylvania State University

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Please complete the questions provided on excel and read them throughly and make sure to include work

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2:06 1 Back Quiz 9 Sep.docx 22. Hurricanes (Refer to Problem 30, Section 4.1) The following data represent the maximum wind speed (in knots) and atmospheric pressure (in millibars) for a random sample of hurricanes that originated in the Atlantic Ocean. Atmospheric Wind Speed Atmospheric Wind Speed Pressure (mb) (knots) Pressure (mb) (knots) 993 50 1006 40 995 60 942 120 994 60 1002 40 997 45 986 50 1003 45 983 70 1004 40 994 65 1000 55 940 120 994 55 976 80 942 105 966 100 1006 30 982 55 Source: National Hurricane Center (a) Find the least-squares regression line treating atmospheric pressure as the explanatory variable. (b) Interpret the slope. (e) Is it reasonable to interpret the y-intercept? Why? (d) One hurricane had an atmospheric pressure of 997 mb. Is this hurricane's wind speed above or below average for a hurricane with this level of atmospheric pressure? 6. For the data set r 2 4 1.4 1.8 2.1 2.3 8 8 9 y 26 (a) Draw a scatter diagram. Comment on the type of relation that appears to exist between x and y. (6) Given that F = 6.2,5, = 3.03315, y = 2.04, s, = 0.461519, and r = 0.957241, determine the least-squares regression line. 129 Dashboard Calendar To Do Notifications Inbox
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Explanation & Answer

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A.

Let x=atmospheric pressure (mb) and y=wind speed (knots).
We find that
x
y
x.y
x^2
y^2
993
50
49650
986049
995
60
59700
990025
994
60
59640
988036
997
45
44865
994009
1003
45
45135 1006009
1004
40
40160 1008016
1000
55
55000 1000000
994
55
54670
988036
942
105
98910
887364
1006
30
30180 1012036
1006
40
40240 1012036
942...


Anonymous
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