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Statistik übungen (Statistik übungen)
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Übung Inferenzstatistik5. Aufgabenblatt
Marvin Schmitt
Aufgabe 5.1 (Lieferservices).
Eine Forscherin interessiert sich für die Frage, ob in Regionen mit hohen Corona-
Fallzahlen mehr Lieferservices in Anspruch genommen werden.
-
Dazu erfasst sie für N = 8 Stadt- bzw. Landkreise in Baden-Württemberg die Corona-
Inzidenzrate sowie die Anzahl der getätigten Bestellungen pro 100.000 Einwohner:innen
auf Lieferando jeweils für die vergangenen 7 Tage. Die Ergebnisse sind in der folgenden
Tabelle aufgeführt:
Landkreis Inzidenzrate i Bestellrate b
Böblingen 44.3 2400
Ulm 42.6 2322
Freiburg 37.2 1988
Tübingen 63.4 3299
Heidelberg 33.4 1233
Stuttgart 82.9 3555
Reutlingen 44.6 2173
Neckar-Odenwald-Kreis 36.2 1562
I = 48.1 5=2316.5
(a) Wie hoch korreliert die Corona-Inzidenzrate mit der Bestellrate auf Lieferando?
15.7
Si = =
.bj5I 739.8
SEE =
Cori b = IT '
Cig
- i)
lbj-51=10846.75
j
10846.75
rib = 59 =
is
=
.
934
(b) Ist der Zusammenhang statistisch signifikant?
TE
¥7
r
6.41
t IdfN 2=6) IF
- = = =
.
emp
thrift6 ,
a-5%,
einseitig 1=1.943
nob med Cieloservices . . .
"
underwartuugshoufor me Rich
toy
temp trait
>
lnzidenzrate Wehr dieterservices in
Eutscheiduug for Hn :
Es werden wit Steigerdo
Ansprucer genomemen .
(c) Wie viel Varianz am Bestellverhalten wird durch die Inzidenzrate aufgeklärt?
- - -
= 0.932
'
r2 r
=
86.51
1µm
= .
"
m
1 F
RE 865
.
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