Answer:
19% of the total variation in the y-values is not explained by the regression line
Step-by-step explanation:
The correlation coefficient, r, is a measure of the degree of association between two variables. It gives information on the direction and strength of the relationship.
On the other hand, is the coefficient of determination and is a measure of the percent of the total variation in the y-values explained by the regression line.
is simply the square of r;
This implies that 81% of the total variation in the y-values is explained by the regression line. Therefore, only 19% is not explained.
Check the picture below.
since the figure has two pairs of parallel sides, tis a parallelogram.
the area of a parallelogram is just base * height, in this case, the base is 12, and its height is "y" which is 7, so the area will just be
12 * 7.
now, the perimeter, well, we know what "z" is, so the perimeter will just be 12 + 7√2 + 12 + 7√2, or
24 + 14√2.
What do you mean by without calculating?
One easy way is first solve for y
3x-5y=9
minus 3x both sides
-5y=-3x+9
divide both sides by -5
y=
so
if x=-1
y=
y=
y=
if x=0
y=
y=
y=
if x=1
y=
y=
y=