d) Estimate the sight distance for a car traveling 67 mph using the functions from parts (b) and (c). feet. (Round to the nearest foot.) feet. (Round to the nearest foot.) According to the linear model, the sight distance for a car traveling 67 mph is According to the cubic model, the sight distance for a car traveling 67 mph is
d) Estimate the sight distance for a car traveling 67 mph using the functions from parts (b) and (c). feet. (Round to the nearest foot.) feet. (Round to the nearest foot.) According to the linear model, the sight distance for a car traveling 67 mph is According to the cubic model, the sight distance for a car traveling 67 mph is
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
First image is the table and quesrions a,b,c (already done)
Second image is part D the one I need!!!
Transcribed Image Text:K
The table shows the sight distance y in feet for a car traveling at x miles per hour.
30
40
x (in mph) 20
50
65
2315
y (in feet) 815 1090 1485 1840
aj make a scatter diagram of the data. Choose the correct grapn below.
SOA.
2500+
800-
OA.
Ay
2500
Av
1²
800-1*
100
SOA.
2500
100
Ay
800-1
Q
Q
100
60
2140
Q
70
2490
G
O B.
b) Use the regression feature of a calculator to find the best-fitting linear function for the data. Give the coefficient before x to the nearest hundredth, and the constant to the nearest tenth.
y= 33.89x+117.7 (Type your answer in slope-intercept form.)
Graph the function with the data. Choose the correct graph below.
Ay
2500-
800*
0
100
O B.
Ay
2500
1
800*
0
**
100
ME
OB.
2500
1
800-14
0
O C.
100
2500
Q
800
0
100
c) Use the regression feature of a calculator to find the best-fitting cubic function for the data. Give the first and the second coefficients to four decimal places, the third coefficient to the nearest hundredth, and the constant term to the nearest
y=(-0.0033x³ +0.4467x²+(15.58xx+(341.1)
Graph the function with the data. Choose the correct graph below.
OC.
2500-
1
800#
100
OC.
2500
14
800+
0
OD.
100
2500
800-
O D.
Ay
2500-
1
800#
0
O D.
2500
100
AY
800-t
0
100
100
Transcribed Image Text:d) Estimate the sight distance for a car traveling 67 mph using the functions from parts (b) and (c).
According to the linear model, the sight distance for a car traveling 67 mph is feet. (Round to the nearest foot.)
According to the cubic model, the sight distance for a car traveling 67 mph is feet. (Round to the nearest foot.)
e) By comparing the graphs of the functions in parts (b) and (c) with the data, decide which function best fits the given data.
cubic function
linear function
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