Solve the equation using square roots. x2 + 5 = 41
2 answers:
Answer: The required solution is x = 6, -6.
Step-by-step explanation: We are given to solve the following quadratic equation using square roots :
To solve a quadratic equation by square root method, we need to take x² term on one side and the constant term on the other. After that, the square root on both the sides are taken.
From equation (i), we have
Thus, the required solution is x = 6, -6.
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Answer:
a)Slope:
Intercept:
b)
And the determination coeffecient is
Step-by-step explanation:
Data given and definitions
The correlation coefficient is a "statistical measure that calculates the strength of the relationship between the relative movements of two variables". It's denoted by r and its always between -1 and 1.
The sum of squares "is the sum of the square of variation, where variation is defined as the spread between each individual value and the grand mean"
When we conduct a multiple regression we want to know about the relationship between several independent or predictor variables and a dependent or criterion variable.
n=110,
Part a
The slope is given by this formula:
If we replace we got:
We can find the intercept with the following formula
We can find the average for x and y like this:
And replacing we got:
Part b
In order to calculate the correlation coefficient we can use this formula:
For our case we have this:
n=110,
So we can find the correlation coefficient replacing like this:
And the determination coeffecient is