Answer:
y = 0.834X - 1.58015
Slope = 0.8340 ; Intercept = - 1.5802
y = 40.9539
19.93
0.9765
Explanation:
X: Rainfall volume
6
12
14
16
23
30
40
52
55
67
72
81
96
112
127
Y : Runoff
4
10
13
14
15
25
27
48
38
46
53
72
82
99
100
The scatterplot shows a reasonable linear trend between the Rainfall volume and run off.
The estimated regression equation obtained using a linear regression calculator is :
y = 0.834X - 1.58015
y = Runoff ; x = Rainfall volume
Slope = 0.8340 ; Intercept = - 1.5802
Point estimate for Runoff, when, x = 51
y = 0.834X - 1.58015
y = 0.834(51) - 1.58015
y = 40.95385
y = 40.9539
d.)
Point estimate for standard deviation :
s = 5.145
σ = s * √n
σ = √15 * 5.145
= 19.93
e.)
r² = Coefficient of determination gives the proportion of explained variance in Runoff due to the regression line. From the model output, the r² value = 0.9765. Which means That about 97.65% Runoff is due to Rainfall volume.
Answer:
The option that is best described as a way engineers can test and investigate how things should be under certain circumstances is;
Explanation:
Modeling is a tool an engineer can use for the physical representation of a system that will facilitate the definition, testing and analysis, communication, data generation, data verification and data validation of given concepts
Models also aid in setting specifications, supporting designs, and verification of a given system
Therefore, with modeling engineers can investigate the behavior of systems under given environmental conditions.
Answer:
a) 
b) 
Explanation:
From the question we are told that:
Cast-iron block Dimension:
Length
Width 
Feed
Depth 
Diameter 
Number of cutting teeth 
Rotation speed 
Generally the equation for Approach is mathematically given by



Therefore
Effective length is given as



a)
Generally the equation for Machine Time is mathematically given by

Where



Therefore


b)
Generally the equation for Material Removal Rate. is mathematically given by


