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: 18
Step-by-step explanation:
Area of triangle = (0.5) × base(b) × height(h)
Base of triangle = 8
Height of triangle = 15
Area of triangle = (0.5) × 8 × 15 = 60
Volume of triangular prism = B × height
Where h = height
B = area of triangle
Volume of triangular prism = 1080
Find the height(h) of the triangular prism
Volume of triangular prism = B × height
1080 = 60 × h
h = 1080 / 60
h = 18
The equation that calculates the unknown side length, M of the Chocolate Shoppe rectangular logo is A = 3.1H
<h3>How to determine the equation?</h3>
The parameters in the question are:
- Logo: Rectangle
- Height, H = 3 1/10 feet
Represent the area of the logo with A, and L represents the unknown side
The area (A) of the rectangle is calculated using:
A = H * L
Substitute 3 1/10 for H
A = 3 1/10 * H
Express the fraction as decimal
A = 3.1H
Hence, the equation that could be used to determine the unknown side length, M of the logo is A = 3.1H
Read more about areas at:
brainly.com/question/24487155
Answer:
8.08
Step-by-step explanation:
