1 is the number which is the answer
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Answer:
3.83
Step-by-step explanation:
Mean of x = Σx / n
Mean of x = (14 + 19 + 13 + 6 + 9) / 5 = 12.2
Sum of square (SS) :
(14-12.2)^2 + (19-12.2)^2 + (13-12.2)^2 + (6-12.2)^2 + (9-12.2)^2 = 98.8
Mean of y = Σy / n
Mean of y = (101 + 89 + 48 + 21 + 47) / 5 = 61.2
Σ(y - ybar)² = (101-61.2)^2 + (89-61.2)^2 + (48-61.2)^2 + (21-61.2)^2 + (47-61.2)^2 = 4348.8
df = n - 2 = 5 - 2 = 3
Σ(y - ybar)² / df = 4348.8 / 3 = 1449.6
√(Σ(y - ybar)² / df) = √1449.6 = 38.074
Standard Error = √(Σ(y - ybar)² / df) / √SS
Standard Error = 38.074 / √98.8
Standard Error = 3.83
Answer:
Option a. convergent: A
Step-by-step explanation:
a0=3/2
a1=9/8
a2=27/32
a1/a0=(9/8)/(3/2)=(9/8)*(2/3)→a1/a0=3/4
a2/a1=(27/32)/(9/8)=(27/32)*(8/9)→a2/a1=3/4
r=a1/a0=a2/a1→r=3/4
The abosute value of r= !r! = !3/4! = 3/4 = 0.75<1, the series is convergent
