Answer:
Step-by-step explanation:
Hello!
Given the independent variable X and the dependent variable Y (see data in attachment)
The regression equation is
^Y= b₀ + bX
Where
b₀= estimation of the y-intercept
b= estimation of the slope
The formulas to manually calculate both estimations are:
n=7
∑X= 42
∑X²= 292
∑Y= 49
∑Y²= 403
∑XY= 249
^Y= 13.75 - 1.13X
Using the raw data you can calculate the coefficient of determination as:
![R^2= \frac{b^2[sumX^2-\frac{(sumX)^2}{n} ]}{[sumY^2-\frac{(sumY)^2}{n} ]}](https://tex.z-dn.net/?f=R%5E2%3D%20%5Cfrac%7Bb%5E2%5BsumX%5E2-%5Cfrac%7B%28sumX%29%5E2%7D%7Bn%7D%20%5D%7D%7B%5BsumY%5E2-%5Cfrac%7B%28sumY%29%5E2%7D%7Bn%7D%20%5D%7D)
![R^2= \frac{(-1.13)^2[292-\frac{(42)^2}{7} ]}{[403-\frac{(49)^2}{7} ]}= 0.84](https://tex.z-dn.net/?f=R%5E2%3D%20%5Cfrac%7B%28-1.13%29%5E2%5B292-%5Cfrac%7B%2842%29%5E2%7D%7B7%7D%20%5D%7D%7B%5B403-%5Cfrac%7B%2849%29%5E2%7D%7B7%7D%20%5D%7D%3D%200.84)
This means that 84% of the variability of the dependent variable Y is explained by the response variable X under the model ^Y= 13.75 - 1.13X
I hope this helps!
Answer:
all the points below this line towards (0, 0) on the whole plain will work
Step-by-step explanation:
This line passes through (0, 2) and (-4, 0) which puts it in the fourth quadrant
y < 0.5x + 2 i.e. 0 < 2 which is true
all the points below this line towards (0, 0) on the whole plain will work
Answer: A
Step-by-step explanation: though they did phrase it in a very weird way, and I would suggest to you to make sure your formatting of your question is understandable, A demonstrates distributive property. you can imagine this as two little arrows going from the multiplier outside the parentheses, to each number inside them. this property is used a Lot in basic algebra and using variables. basically, instead of adding inside the parentheses first, and then multiplying that answer by the outside number, you just multiply the outside number by each number inside the parentheses Individually. and then follow through with the operation. this can get confusing if subtraction or negatives are involved, but I'm sure you'll figure it out :)
