Answer:
-0.20
Step-by-step explanation:
Given the data:
Age at auction (x) ____price sold (y)
391
51
32
84
47
104
88
43
470
51
Y:
76.9
95.4
86.3
49.3
80
57
47.8
80
70
86.9
General formula for a simple linear regression :
y = ab + c
Where ;
y = predicted variable ; a = slope / gradient
b = predictor / independent variable ; c = intercept
From the result obtained from the calculator :
y = -0.01246X + 74.65552
Correlation Coefficient is used to measure the strength of relationship between linear variables.
The regression Coefficient obtained is - 0.20
This shows that there is a weak negative correlation between the age at auction and the price at which painting is sold. This is because the negative sign means that value of y decreases as x increases or vice versa, however, due to a correlation vale which is closer to 0 than 1 or - 1, we can conclude that the negative relationship between the variables is weak.
Area=1/2 times base times height
for equilateral triangle, if base is x, then height is (x√3)/2
so if base is 6 then height is (6√3)/2=3√3
area is 1/2 times 6 times3√3=3 times 3√3=9√3 sqare inches
Answer:
15 boys
Step-by-step explanation:
There are 27 students. The number of girls is only 4/5 of the number of boys. I started by splitting the class. 14 boys and 13 girls doesn't work, so I changed it to 12 and 15. If it was 12 girls and 15 boys, the girls would have 4/5 of the boys, so it must be 12 girls and 15 boys.
Answer:
Step-by-step explanation:
The domain of a function is all of the values that 
can be under that specific function. In this case, we're asking what values of allow 
to exist.
In order for square roots to exist, the quantity under the square root must be greater than or equal to 
, because you can't take the square root of a negative number. Therefore, we can write the following inequality to solve for :
Solving this inequality, we get:
(Subtract 
from both sides of the inequality to isolate )
(Multiply both sides of the inequality by 
to get rid of 's coefficient)
Hope this helps!
