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2 answers:
Focus on the triangle. One angle measures 31+x, the bottom right measures 45 (it is supplementary to a 135 angle). The bottom left measures x+12 because it is opposite to the x+12 angle. The sum of interior angles of a triangle must be 180, so we have
Angle y is supplementary with the x+12 angle, so we have
Finally, angle x+12 measures 46+12=58
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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
The parent function passes through the point
, since
Your function passes through the point , which means that the parent function has been translated 3 units up.
To translate a function vertically, you have to add a constant, i.e. you have to transform
k is the amount of units you want to translate: positive if you translate upwards, negative if you translate downwards.
In your case, you move 3 units upwards, so you want k=3 and your function is