100 Q G 2500 800- regression feature of a calculator to find the best-fitting cubic function for the data. Give the first x³+x²+x+0 function with the data. Choose the correct graph below. OB. 100 2500+ Q

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter1: Functions
Section1.CR: Chapter 1 Review
Problem 86CR
icon
Related questions
Question
X(in mph) 20 30 40 50 60 65 70
Y(in feet) 815 1090 1485 1840 2140 2315 2490

complete questions 

a) Make a scatter diagram of the data. Choose the correct graph below.
O A.
2500-
1
800-
0
OA.
2500
8007
OA.
100
2500
800+
Q
100
OB.
Q
100
2500-
800
0
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 = 33.88x=117.7 (Type your answer in slope-intercept form.)
Graph the function with the data. Choose the correct graph below.
B.
2500-
800-
0
B.
2500-
100
HIC
800-
0
100
O C.
o
100
Ау
2500-
800-
0
OC.
2500
1
800-
0
OC
2500-
800-
100
1000
0
100
Q
5
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 neares
y=(x³ + (x² + (x+0
Graph the function with the data. Choose the correct graph below.
100
00
E
O
D.
Q
2500-
800+
OD.
2500-
800-
OD.
2500-
0
800
100
0
100
100
2
Transcribed Image Text:a) Make a scatter diagram of the data. Choose the correct graph below. O A. 2500- 1 800- 0 OA. 2500 8007 OA. 100 2500 800+ Q 100 OB. Q 100 2500- 800 0 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 = 33.88x=117.7 (Type your answer in slope-intercept form.) Graph the function with the data. Choose the correct graph below. B. 2500- 800- 0 B. 2500- 100 HIC 800- 0 100 O C. o 100 Ау 2500- 800- 0 OC. 2500 1 800- 0 OC 2500- 800- 100 1000 0 100 Q 5 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 neares y=(x³ + (x² + (x+0 Graph the function with the data. Choose the correct graph below. 100 00 E O D. Q 2500- 800+ OD. 2500- 800- OD. 2500- 0 800 100 0 100 100 2
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.
O cubic function
O
linear function
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. O cubic function O linear function
Expert Solution
steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Recommended textbooks for you
Calculus For The Life Sciences
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning
Holt Mcdougal Larson Pre-algebra: Student Edition…
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL