Answer:
95% Confidence interval for y
= (-9.804, -5.979)
Lower limit = -9.804
Upper limit = -5.979
Step-by-step explanation:
^y= 2.097x - 0.552
x = -3.5
Standard error = 0.976
Mathematically,
Confidence Interval = (Mean) ± (Margin of error)
Mean = 2.097x - 0.552 = (2.097×-3.5) - 0.552 = - 7.8915
(note that x=-3.5)
Margin of Error is the width of the confidence interval about the mean.
It is given mathematically as,
Margin of Error = (Critical value) × (standard Error of the mean)
Critical value for 95% confidence interval = 1.960
Standard Error of the mean = 0.976
95% Confidence Interval = (Mean) ± [(Critical value) × (standard Error of the mean)]
CI = -7.8915 ± (1.960 × 0.976)
CI = -7.8915 ± 1.91296
95% CI = (-9.80446, -5.97854)
95% Confidence interval for y
= (-9.804, -5.979)
Hope this Helps!!!
Answer:
Step-by-step explanation:
The distance between two points is
d^2=(y2-y1)^2+(x2-x1)^2
D) points (0,0) and (9,12)
d^2=(9-0)^2+(12-0)^2
d^2=81+144
d^2=225
d=15
E) points (1,2) and (-3,5)
d^2=(-3-1)^2+(5-2)^2
d^2=16+9
d^2=25
d=5
Answer:
6 hours
Step-by-step explanation:
she played game 25% of the time.
25% of 30 hours is 7.5 hours
she researched 5% of the time.
5% of 30 hours is 1.5 hours
so she played game 7.5-1.5=6 more hours than she researched
Answer:
the value of x in simplified form is 2.
Step-by-step explanation:
Given;
x:6 as 3:9
the value of x can be obtained if this ratio is transformed into fraction form.
in fraction form, this ratio can be written as;
Therefore, the value of x in simplified form is 2.
Answer:
91
Step-by-step explanation:
17+72=89
180-89=91
