Slope=3, Y-intercept=(0,-1)
Answer:
Step-by-step explanation:
Hello!
Given the variables
X₁: Weight of a safety helmet for racers
X₂: Price of a safety helmet for racers
Note, there is n= 17 observed values for each variable so for all calculations I'll use this number and disregard the 18 mentioned in the text.
a) Scatterplot in attachment.
b) If you look at the diagram it seems that there is a negative linear regression between the price and the weight of the helmets, meaning, the higher the helmet weights, the less it costs.
c) The estimated regression equation is ^Yi= a + bXi
n= 17; ∑Y= 6466; ∑Y²= 3063392; ∑X= 1008; ∑X²= 60294; ∑XY= 367536
Y[bar]= 380.35; X[bar]= 59.29

![a= Y[bar]- bX[bar]= 380.35-(-30.18)*59.29= 2169.77](https://tex.z-dn.net/?f=a%3D%20Y%5Bbar%5D-%20bX%5Bbar%5D%3D%20380.35-%28-30.18%29%2A59.29%3D%202169.77)
The estimated regression equation for the price of the helmets as a function of their weight is:
^Yi= 2169.77 -30.18Xi
I hope it helps!
Answer:
Step-by-step explanation:
The term numerical expression is made up of two words, numerical meaning numbers, and expression meaning phrase. ... A numerical expression in mathematics can be a combination of numbers, integers combined using mathematical operators such as addition, subtraction, multiplication, or division.
Answer:
The correct answer is D. -2,592, -15,552, -93,312
Step-by-step explanation:
Each of the terms is the previous term multiplied by 6. You can find this by taking any term and dividing it by the one before it. The answer will always be 6.
-72/-12 = 6
-12/-2 = 6
So, in order to find the next 3, we take the last term and multiply it by 6.
-432 * 6 = -2,592
-2,592 * 6 = -15,552
-15,552 * 6 = -93,312
Four children average is 15.25 so ages must add to 61
61-12-16=33
11 and 22 go into 33
Youngest is 11