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How would you interpret the findings of a correlation study that reported a linear correlation coefficient of 1.67?
There is not enough information to say much. To start with, the correlation may not be significant. Furthermore, a linear relationship may not be an appropriate model. If you assume that a linear model is appropriate and if you assume that there is evidence to indicate that the correlation is significant (by this time you might as well assume anything you want!) then you could say that the dependent variable increases by 1.67 for every unit change in the independent variable - within the range of the independent variable.
What are the dependent and independent variables for the function y equals 6x plus 8?
The truth is that you can't actually answer, given the information you have. But that's not the answer you are looking for! So, the equation you have is y = 6x+8. There are two variables here, x and y. If you know what x is, you can calculate y as follows: you multiply x by 6 then add 8. So if x is 2, then 6 lots of x is 12, and adding 8 we get 20. So y is 20. The general expression y = mx + c describes a linear relationship between two variables - m is referred to as the gradient and c is called the intercept. This is because if each of the pairs of x and y (e.g. x=2 and y=20 above), the line which join them intercepts (crosses) the y axis at 'c' and has a gradient (steepness) of 'm' (i.e. as you move one unit along the x axis, you go 'm' units up the y axis). So which is dependent and which is independent? Earlier, we calculated y from x. This is the easiest thing to do with this equation. We can say that 'y is dependent on x' or 'x is the independent variable'. Mathematically speaking, though, we could just rearrange the equation (you can see that x = (y-8)/6 by taking 8 away from both sides and dividing both sides by 6). Then it looks like we've switched which one is dependent and independent. But we haven't really - and that is because you are not really asking a maths question, to do with equations, but a science question, to do with causes and effects. In science, we often choose what x's we will use and measure the y's. *This* makes y dependent, but only if we choose it properly - it should actually change as a result of changing the x. So y could be 'reading age' and x could be 'actual age in years'. Most people's reading age increases as they get older (at least up to a certain age). But it is how old they are that is causing their reading age to increase. So we would say that 'actual age in years' is the independent variable and 'reading age' is the dependent variable (because it depends on their actual age). And so if we were doing an investigation into this relationship, it would be conventional to call the 'actual age in years' x and the 'reading age' y. It is normal to call the independent variable 'x' and the dependent variable 'y'. I think that's what you really want to know, but it is important to know why.
What does the vertical axis of a graph show in science?
The vertical is typically the dependent variable (the result of whatever process is causing the event). It could be distance traveled of a projectile, or temperature of a mixed solution, for example.
Could the value of the variable be greater than 12.50?
The unknown value of the variable could be greater, less or even equal to 12.50
Can a variable be divided by a non variable?
This X2/X = X ==========yes X/3 = ?????? ==============No Yes it can. However, dividing by a variable doesn't always work since the variable could evaluate to zero, and you cannot divide by zero. Similar is true if the non-variable is zero.
