Answer:
The sample correlation coefficient is, <em>r</em> = 0.8722.
The equation of the least-squares line is:
Step-by-step explanation:
(a)
The scatter diagram displaying the data for <em>X </em>: total number of jobs in a given neighborhood and <em>Y</em> : number of entry-level jobs in the same neighborhood is shown below.
(b)
The table attached below verifies the values of 
.
The sample correlation coefficient is:
![\begin{aligned}r~&=~\frac{n\cdot\sum{XY} - \sum{X}\cdot\sum{Y}} {\sqrt{\left[n \sum{X^2}-\left(\sum{X}\right)^2\right] \cdot \left[n \sum{Y^2}-\left(\sum{Y}\right)^2\right]}} \\r~&=~\frac{ 6 \cdot 1163 - 201 \cdot 30 } {\sqrt{\left[ 6 \cdot 7759 - 201^2 \right] \cdot \left[ 6 \cdot 182 - 30^2 \right] }} \approx 0.8722\end{aligned}](https://tex.z-dn.net/?f=%5Cbegin%7Baligned%7Dr~%26%3D~%5Cfrac%7Bn%5Ccdot%5Csum%7BXY%7D%20-%20%5Csum%7BX%7D%5Ccdot%5Csum%7BY%7D%7D%09%09%09%09%09%09%09%09%09%7B%5Csqrt%7B%5Cleft%5Bn%20%5Csum%7BX%5E2%7D-%5Cleft%28%5Csum%7BX%7D%5Cright%29%5E2%5Cright%5D%20%5Ccdot%20%5Cleft%5Bn%20%5Csum%7BY%5E2%7D-%5Cleft%28%5Csum%7BY%7D%5Cright%29%5E2%5Cright%5D%7D%7D%20%5C%5Cr~%26%3D~%5Cfrac%7B%206%20%5Ccdot%201163%20-%20201%20%5Ccdot%2030%20%7D%09%09%09%09%09%09%09%09%09%7B%5Csqrt%7B%5Cleft%5B%206%20%5Ccdot%207759%20-%20201%5E2%20%5Cright%5D%20%5Ccdot%20%5Cleft%5B%206%20%5Ccdot%20182%20-%2030%5E2%20%5Cright%5D%20%7D%7D%20%5Capprox%200.8722%5Cend%7Baligned%7D)
Thus, the sample correlation coefficient is, <em>r</em> = 0.8722.
(c)
The slope and intercept are:
The equation of the least-squares line is:
(d)
The least-squares line is graphed in the diagram below.
Answer:
I used to have this question it is -9/20 because -10/20 is -0.5
Step-by-step explanation:
Answer:
Parenthesis, Exponents (& roots), Multiplication, Division, Addition, Subtraction.
This is the order you use when you need PEMDAS. For example, in this question:
(2 * 3) + 5(3)
First, you solve the parenthesis: 2 * 3 = 6
Next, you solve for multiplication: 5(3) = 15
Finally, you add: 6 + 15 = 21
~
This involves a bit of logic in thinking about what LCM actually means.
LCM is the least common multiple. A
common multiple is a multiple shared by two or more numbers. And by
multiple, we mean some number multiplied by successive integers; this set contains multiples of 5 {5, 10, 15, 20, 25...}. You can see that the least (or lowest) common multiple is the lowest multiple shared by two numbers. Like for 6 and 9, you have {6, 12,
18, 24...} and {9,
18...}, so LCM(6,9) = 18.
Now, if an LCM must be shared by both numbers, and to get a multiple of the largest number, you have to multiply by an integer greater than or equal to 1, then the LCM of two numbers can never be less than the larger of the twi numbers. Generally, if x and y are positive real numbers, and x is greater than y,
.
