Given that the sum of squares for error is 60 and the sum of squares for regression is 140, then the coefficient of determinatio
1 answer:
Answer:
<h2>0.7</h2>Step-by-step explanation:
The coefficient of determination which is also known as the R² value is expressed as shown;
Sum of square of total (SST)= sum of square of error (SSE )+ sum of square of regression (SSR)
Given SSE = 60 and SSR = 140
SST = 60 + 140
SST = 200
Since R² = SSR/SST
R² = 140/200
R² = 0.7
Hence, the coefficient of determination is 0.7. Note that the coefficient of determination always lies between 0 and 1.
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Answer:
a) 21.58% probability that exactly 3 people are repeat offenders
b) 97.91% probability that at least one person is a repeat offender
c) 3.69
d) 1.83
Step-by-step explanation:
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.
The expected value of the binomial distribution is:
The standard deviation of the binomial distribution is:
9% of all drivers arrested for DUI (Driving Under the Influence) are repeat offenders
This means that
41 people arrested for DUI in Illinois are selected at random.
This means that
a. What is the probability that exactly 3 people are repeat offenders?
This is P(X = 3).
21.58% probability that exactly 3 people are repeat offenders
b. What is the probability that at least one person is a repeat offender?
Either none are repeat offenders, or at least one is. The sum of the probabilities of these outcomes is 1. So
We want .
Then
In which
97.91% probability that at least one person is a repeat offender
c. What is the mean number of repeat offenders?
d. What is the standard deviation of the number of repeat offenders?