Translation and dilation.
If you change the scale factor of a geometric figure by a factor "x", that is, keeping the new figure similar to the old one, the perimeter (which is also a linear measurement) will change by the SAME factor "x".Note that any area will change by a factor of x squared.
Moederkoek
It is zero at the origin, positive above and negative below. Otherwise it can be numbered to any scale.
0
The mean and scale will change by the factor of change for the sample data.
The correlation coefficient is unaffected by change of origin or scale unless one of the sets of variables is multiplied by a negative term, in which case the correlation coefficient will become negative.
Translation and dilation.
No, it is not.
Oh, dude, like, when you're talking about the origin and scale in arithmetic mean, you're basically just messing with the values of the data points. The origin is where your data starts, and the scale is how much you're stretching or squeezing those values. So, if you change the origin or scale, it's gonna totally mess with your arithmetic mean because you're basically playing around with the numbers. But hey, it's all good, just plug those numbers into the formula and you'll be fine.
The Coeffecient of corelation is definitely independent of origina and scale. If r(x,y)= cof or cor b/w X and Y let W=aX+b and Z=cY+d then r(x,y)=r( W,Z) Note that adding or subtracting a constant in all values of a random variable changes its scale. While multiplication or division change scale. The Form W=aX+b, caters the change both in origin and scale.
Wikipedia defines geometric shape as follows:A geometric shape is the geometric information which remains when location, scale, orientation and reflection are removed from the description of a geometric object.The above definition does not address the fact that non-mathematical attributes, such as colour, taste, smell, temperature, and so on can also be removed.
If you change the scale factor of a geometric figure by a factor "x", that is, keeping the new figure similar to the old one, the perimeter (which is also a linear measurement) will change by the SAME factor "x".Note that any area will change by a factor of x squared.
Moederkoek
scale factor
effect of cash management on small scale industries
No such thing. Some geometers consider time to be the fourth dimension. There is a "geologic time scale" which is the time scale at which you notice continents moving and mountain ridges growing and being eroded (very long time scale)