Answer:
a) strong negative linear correlation.
b) Weak or no linear correlation.
c) strong positive linear correlation.
Step-by-step explanation:
The correlation coefficient r measures the strength and direction (positive or negative) of two variables. The correlation coefficient r is always between -1 and 1. When the coefficient r is negative then the direction of the correlation is downhill (negative) and when it's positive then it's an uphill correlation (positive). Similarly, as the coefficient is closer to -1 or 1 the correlation is stronger, with zero being a non linear relationship.
Now back to the question:
a) Near -1: as we said before, this means an strong negative (-1) linear correlation.
b) Near 0: weak or no linear correlation (we cannot say if its positive or negative because we don't know it it's near zero from the right (positive numbers) or the left (negative numbers)
c) Near 1: strong positive (close to +1) linear correlation
Answer:

Step-by-step explanation:
we can easily calculate the perimeter of three points, using vectors. See the picture...
4x + 3y = 12
3y = -4x + 12
y = -4/3x + 4........so the slope (or gradient) is -4/3...because in y = mx + b form, the slope(gradient) is in the m position and the y int is in the b position....so if u wanted to know the y axis, it would be (0,4)
the x intercept (where the line crosses the x axis) can be found by subbing in 0 for y in the original equation or the slope intercept equation, and solving for x.
4x + 3(0) = 12
4x = 12
x = 12/4 = 3....so the x intercept is (3,0)
Answer:
A. There is not sufficient evidence to conclude that the mean price of a single-family home has decreased
Step-by-step explanation:
To study : Whether the mean price of single family home has decreased or not -
Null Hypothesis [H0] = There is no change in mean price of single family home
Alternate Hypothesis [H1] = There is change (decrease) in mean price of single family home
If the null hypothesis is not rejected, it implies that 'there is no change in mean price of single family home' has been statistically accepted.
So, it states that - There is not sufficient evidence to conclude that the mean price of a single-family home has decreased