5x -2y = -10 .....1
3x + 6y =66......2
on multiplying eq. 1 by 3
5x -2y = -10 .....1 ×3
15x -6y =-30
now subtract both equations ,
15x -6y =-30
3x + 6y =66
-___-_____-_
12x =-96
x= -8.
putting value of x in eq 1
5×8 -2y =-10
40 -2y =-10
40-10=2y
50=2y
25=y.
Answer: a. The correlation coefficient of the data is positive.
Step-by-step explanation:
Estimated slope of sample regression line =
Here , confidence interval : (-0.181, 1.529)
Estimated slope of sample regression line =
⇒Correlation coefficient(r) must be positive, So a. is true.
But, d. and e. are wrong(0.674 ≠ 0 or 1.348).
We cannot check residuals or its sum from confidence interval of slope of a regression line, so b is wrong.
We cannot say that scatterplot is linear as we cannot determine it from interval, so c. is wrong
So, the correct option : a. The correlation coefficient of the data is positive.
Answer:
C.
Step-by-step explanation:
We have been given a ratio 16:200 and we are asked to find the ratio as a fraction in simplified form.
Since ratio compares two numbers or two quantities that are measured with the same unit.
Upon converting our ratio into fraction we will get,
Let us cancel out greatest common factor from numerator and denominator of our fraction to simplify it.
After cancelling out 8 we will get,
Therefore, our fraction simplifies to and option C is the correct choice.