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 = 
![=\dfrac{1.348}{2}\\\\=0.674\ \ \ \ [\text{ positive}]](https://tex.z-dn.net/?f=%3D%5Cdfrac%7B1.348%7D%7B2%7D%5C%5C%5C%5C%3D0.674%5C%20%5C%20%5C%20%5C%20%5B%5Ctext%7B%20positive%7D%5D)
⇒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.
First, convert the 33% to a real mathematical number. For percents, this is always done by dividing the 33% by 100%, or 33% / 100% = 0.330.
Second, find out what 33% of $2799 is. This is the amount of the sale discount. This is always found by mulitplying 0.330 by the item's cost $2799, like this:
0.330 x $2799 = $923.67.
So for this sale, you'll save $923.67 on this item.
This means, the cost of the item to you is
$2799 - $923.67 = $1875.33.
Alternatively, you can think about it this way. The item is 33% off. This means you'll pay 67.000% of the total cost (100% - 33% = 67.000%).
Now what's 67.000% of the total cost?
0.670 x $2799 = $1875.33.
Just like the result above, the sale price on the item is $1875.33.
Hope this helps you on your assignment! :)
Answer:
42.5°
Step-by-step explanation:
Reference angle = θ
Side opposite to θ = 2.7
Hypotenuse = 4
Applying trigonometric ratio, we have:
θ = 42.5° (nearest tenth)
Step-by-step explanation:
please mark me as brainlest
-3x+2y=9
First you have to find the slope which you would do by labeling your coordinates So -5 is X1 and 3 is X2 and -3 is Y1 and -3 and Y2 is -6. This will help with finding the slope of you equation. So the set up would be Y2-Y1/X2-X1 so the equation would be -6- -3/ 3-5 which would give you 3/2. Then you take one of the coordinate points and your slope in a slope intecpet equation. So -3=3/2(-5)+b then solve. Which would be 9/2 then put you slope and b into a slope intercept equation so y= 3/2x+9/2 then to get it into Standard form you need to move your ex to the other side of the equation so -3/2x+y=9/2 in this equation can be simplified by multiplying two to each side so (2)3/2x+y=9/2(2) which would equal to 3x+2y=9
