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
For this example, we must combine not permutate; this because a salad in which you first use apple then tomato is the same as the one in which you use first tomato then apple, so order does not matter.
Me must do "10 combine 7" which is written by the binomial coefficient
; in general a binomial coefficient is written by:
In which
and
are positive integers, such that
.
So, for this problem:
Hence, there are 120 different ways to make the fruit salad.
Answer:
40.8
Step-by-step explanation:
When you divide 350 by 51 you get 6.8. Multiply that by 6 you get 40.8
The percent of commission is 7.3% to the nearest tenth of a percent
Step-by-step explanation:
The given is:
- Bill earns a commission on every sale he makes
- He sells a bed for $591 and earns a $43 commission
We need to find the percent commission
To find the percent of commission divide the commission by the selling price and multiply the answer by 100%
∵ His commission is $43
∵ The selling price is $591
∵ The percent of commission = × 100%
∴ The percent of commission = × 100%
∴ The percent of commission = 7.2758%
- Rounded it to the nearest tenth percent
∴ The percent of commission = 7.3%
The percent of commission is 7.3% to the nearest tenth of a percent
Learn ore:
You can learn more about the percent in brainly.com/question/6871421
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