Question

y=13.81 +0 2284X - what is the correlation of this explained

Answer #1

The correlation is linear.

The given equation is the equation of a straight line. where y is dependent variable and x is independent variable. On changing the values of x, we will get values of y according to the slope (0.2284) and intercept (13.81) given.

Any equation of the form y = ax + b is equation of straight line with slope a and intercept b. The power of x decides the correlation. Here, power of x is 1 so correlation is linear (straight line). when power is 2, correlation is quadratic and when power is 3 correlation is cubic and so on.

Further, as slope is positive, correlation is positive. This means that on increasing values of x, y will also increase and vice versa.

If the coefficient of correlation is -0.80, the percentage of
the variation in y that is explained by the variation in x
is:
A. -64%
B. 80%
C. 64%
D. -80%
If all the points in a scatter diagram lie on the least squares
regression line, then the coefficient of correlation must be:
A. -1
B. either 1 or -1
C. 1
D. 0

If the relationship between x and y is given by y=0.3x+0.8, what
is the correlation coefficient between x and y?

Suppose the correlation between study time x and test score y is
given by r = .939. What does this tell us about the correlation
between x and y? 0 We have 12 = .8817. What does this tell us about
the connection between x and y (regression of y on x)?

f_X,Y(x,y)=xy 0<=x<=1, 0<=y<=2
f_X(x)=2x 0<=x<=1, f_Y(y)=y/2
0<=y<=2 choose the all correct things.
a. E[X]=1/2
b. E[XY]=8/9
c. COV[X,Y]=1
d. correlation coefficiet =1

The proportion of explained variation is called the
__________________________________________
An assumption of linear regression states that for each value of
X, there is a group of Y values that are
statistically __________________ and normally distributed about the
regression line.
________________________________________
.
For an inverse relationship between two variables, the sign of
the correlation coefficient is __________________.
The standard error of the estimate measures the scatter or
dispersion of the observed values around a
__________________________________________________________

The correlation between x, ( the diameter of the tree), and Y
(the tree’s height) is 0.875064. A coefficient of
correlation of 0.875064 indicates a strong correlation between the
independent variable and the dependent variable. In
general, if Y tends to increase along with X, there's a positive
relationship.
QUESTION: What does this mean in terms
of the problem?
Is it a strong correlation?
is it statistically significant?

Solve
y''+10y'+25y=0, y(0)=−4, y'(0)=25
At what time does the function y(t) reach a maximum?
t =

8- when correlation between Y & X
is ( - 0.39) then .....Immersive Reader
Y & X have a moderate opposite
relationship
X explains 39% of the change in Y
Y & X are highly correlated
Y & X have a moderate positive
correlation

y^4 - y = 0 IVP (Initial Value Problem)
y(0) = 0
y'(0) = 1
y''(0) = 0
y'''(0) = 0
The answer is y(t) = [sinh(t) + sin(t)] / 2 but I cannot figure
out how to reach this.

Find y as a function of x if y(4)−6y‴+9y″=0,
y(0)=12, y′(0)=18, y″(0)=9, y‴(0)=0.
y(x)=?

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