The sum of two numbers is 13 and there difference is 5 what are the 2 numbers?
2 answers:
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Answer:
Step-by-step explanation:
Data given
n=20 represent the sampel size
represent the sample mean for the independent variable (IQ score of the husband)
represent the sample mean for the dependent variable.
r =0.925 represent the correlation coefficient
Solution to the problem
The general expression for a linear model is given by:
Where is the intercept and
the slope
For this case we have a linear model given by the following expression:
Where -3.34 is the intercept and 1.07 the slope. In order to find the best predicted value when X = 91 we just need to replace into the equation the value of 91 and we got this:
On this case is the best predicted value because we have an unbiased estimator.
To understand this problem, we need to first break it down. Assuming the tables are round, we can notice that this is a circular arrangement question.
We first need to assign five from a group of 10 people to a table. Since we don't care who appears on that table, we can use the notation:
However, since they are not distinct tables, then we would have overcounted by a factor of 2!, since there are two tables. Thus, the total number of ways to assign the tables is:
Now, we need to consider the total number of ways to arrange the people in each table. Since they are circular, then each table can be arranged in 4! ways.
We first need to assign five from a group of 10 people to a table. Since we don't care who appears on that table, we can use the notation:
However, since they are not distinct tables, then we would have overcounted by a factor of 2!, since there are two tables. Thus, the total number of ways to assign the tables is:
Now, we need to consider the total number of ways to arrange the people in each table. Since they are circular, then each table can be arranged in 4! ways.