Answer:
We use students' t distribution therefore degrees of freedom is v= n-2
Step-by-step explanation:
<u>Confidence Interval Estimate of Population Regression Co efficient β.</u>
To construct the confidence interval for β, the population regression co efficient , we use b, the sample estimate of β. The sampling distribution of b is normally distributed with mean β and a standard deviation σ.y.x / √(x-x`)². That is the variable z = b - β/σ.y.x / √(x-x`)² is a standard normal variable. But σ.y.x is not known so we use S.y.x and also student's t distribution rather than normal distribution.
t= b - β/S.y.x / √(x-x`)² = b - β/Sb [Sb = S.y.x / √(x-x`)²]
with v= n-2 degrees of freedom.
Consequently
P [ - t α/2< b - β/Sb < t α/2] = 1- α
or
P [ b- t α/2 Sb< β < b+ t α/2 Sb] = 1- α
Hence a 100( 1-α) percent confidence for β the population regression coefficient for a particular sample size n <30 is given by
b± t α/2 Sb
Using the same statistic a confidence interval for α can be constructed in the same way for β replacing a with b and Sa with Sb.
a± t α/2 Sa
Using the t statistic we may construct the confidence interval for U.y.x for the given value X0 in the same manner
Y~0 ± t α/2(n-2) SY~
Y~0= a+b X0
Answer:
x= -4
Step-by-step explanation:
(1/3)*(1/3)*(1/3)*(1/3)= 81
Answer:
2
Step-by-step explanation:
The missing side of the right triangle is 2
<em><u>Answer:</u></em>
The unit rate is $2.86 per hour
<u><em>Explanation:</em></u>
The units rate is amount earned in 1 hour
We are given that the rate for 3.5 hours is $10
<u>To get the unit rate, we will use cross multiplication as follows:</u>
3.5 hours ..........> $10
1 hour ..................> ??
units rate = 
= 
which is approximately $2.86 per hour
Hope this helps :)
Two lines that are parallel to each other, will have the same slope.
so if this line is parallel to another with a slope of -5/8, the slope of this line is also -5/8 then. We also know that it passes through -7, 4 and -23, y, let's do some checking.
