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y = cos ( x ).

z = cos ( x + 180 degrees ).

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Q: Construction of two random variables such that their correlation coefficient equals -1?
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Related questions

When there is no linear correlation the correlation coefficient equals?

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What happens if the correlation coefficient equals 0?

Nothing happens. It simply means that there is no linear relationship between the two variables. It is possible that there is a non-linear relationship or that there is none.


Which value of r indicates a stronger correlation r equals 0.834 or r equals -0.925?

Oh, isn't that just lovely? Both values show a strong correlation, but the one closer to 1 or -1 indicates a stronger relationship. So, in this case, r equals 0.834 is slightly stronger than r equals -0.925. Just remember, both values show a beautiful connection between the variables.


For the data below compute the Pearson correlation X Y 1 2 2 3 4 2 5 6 8 7 x equals 20 y equals 20 equals 40?

No, the Pearson coefficient does not equal 40.


What is the slope b of the least squares regression line y equals a plus bx for these data?

The graph and accompanying table shown here display 12 observations of a pair of variables (x, y).The variables x and y are positively correlated, with a correlation coefficient of r = 0.97.What is the slope, b, of the least squares regression line, y = a + bx, for these data? Round your answer to the nearest hundredth.2.04 - 2.05


How do you calculate friction equals coefficient of friction X normal force when frictional force and coefficient force are variables not given?

If both the frictional force and coefficient of friction are variable and not given, it is not possible to calculate the friction force using the equation friction = coefficient of friction x normal force. The relationship between these variables would need to be explicitly provided in order to determine the friction force.


How do you solve 5t-5 equals 5t plus 7?

You don't for t, as gathering your coefficient variables together = 0 5t - 5 = 5t + 7 now, subtracting 5t from either side to get the variables on one side of the equation renders this. - 5 does not = 7


What is the coefficient in the number sentence 8x equals 16?

8 is the coefficient. A coefficient is the number in front of a variable.


In a correlation coefficient the difference between r and r squared?

r is correlation and can be positive or negative. If you want an analogy, consider it like the slope of a line. If the slope is negative, the line slopes downward and therelationship between the two variables (x & y) are inverse. That is, as x increases, y will decrease. If r is positive, then the line slopes upward and as x increases so does y. Now if x equals or is close to zero, there is no significant relationship between the two variables ... as x increases y does not change or fluctuates between positive and negative changes. The closer r is to +1 or -1, the stronger the relationship between x and y.


What is the coefficient in Y equals 2X?

It is 2


What is the coefficient in 4 plus x equals y?

The only coefficient here is just 1


What is the coefficients of -3x2 equals -9?

The coefficient is -3.