A regression by a sample of 10 observations gives: Score=49.5+1.96 Study Hours. The sample mean of study hour is 10.5 and sum of
1 answer:
Answer:
0.1463
Step-by-step explanation:
Number of observations = 10
Sample mean = 10.5
Sum of standard deviation = 264.5
X = 14
We are to calculate The leverage statistic for study hour 14 using the data above
= 1/10 + (14-10.5)²/264.5
= 1/10 + 3.5²/264.5
= 0.1 +12.25/264.5
= 0.1+0.04631
= 0.1463 is the leverage statistic for the study
You might be interested in
Answer:
With replacement, 0.2109 = 21.09% probability that there are 2 black balls and 2 white balls in the sample.
Without replacement, 0.2116 = 21.16% probability that there are 2 black balls and 2 white balls in the sample.
Step-by-step explanation:
For sampling with replacement, we use the binomial distribution. Without replacement, we use the hypergeometric distribution.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
In which is the number of different combinations of x objects from a set of n elements, given by the following formula.
And p is the probability of X happening.
Hypergeometric distribution:
The probability of x sucesses is given by the following formula:
In which:
x is the number of sucesses.
N is the size of the population.
n is the size of the sample.
k is the total number of desired outcomes.
is the number of different combinations of x objects from a set of n elements, given by the following formula.
Sampling with replacement:
I consider a success choosing a black ball, so
We want 2 black balls and 2 white, 2 + 2 = 4, so , and we want P(X = 2).
With replacement, 0.2109 = 21.09% probability that there are 2 black balls and 2 white balls in the sample.
Sampling without replacement:
150 + 50 = 200 total balls, so
Sample of 4, so
50 are black, so
We want P(X = 2).
Without replacement, 0.2116 = 21.16% probability that there are 2 black balls and 2 white balls in the sample.
Answer:
C)
Step-by-step explanation:
Use the Angle Addition Postulate to figure this out:
165° = (x + 15)° + (9x)°
165° = (15 + 10x)°
- 15° - 15°
_____________
[Plug this back into the modeled expression for the
to get the angle measure of 30°];
I am joyous to assist you anytime.