The weights (in pounds) of 6 vehicles and the variability of their braking distances (in feet) when stopping on a dry surface are shown in the table. Can you conclude that there is a significant linear correlation between vehicle weight and variability in braking distance on a dry surface? Use a=0.01. Weight, x 5980 5330 6500| 5100 5830 4800 abikgance. y 1.69 1.50 O Data Table 1.76 1.92 1.89 1,64
The weights (in pounds) of 6 vehicles and the variability of their braking distances (in feet) when stopping on a dry surface are shown in the table. Can you conclude that there is a significant linear correlation between vehicle weight and variability in braking distance on a dry surface? Use a=0.01. Weight, x 5980 5330 6500| 5100 5830 4800 abikgance. y 1.69 1.50 O Data Table 1.76 1.92 1.89 1,64
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
Problem 11PPS
Related questions
Concept explainers
Percentage
A percentage is a number indicated as a fraction of 100. It is a dimensionless number often expressed using the symbol %.
Algebraic Expressions
In mathematics, an algebraic expression consists of constant(s), variable(s), and mathematical operators. It is made up of terms.
Numbers
Numbers are some measures used for counting. They can be compared one with another to know its position in the number line and determine which one is greater or lesser than the other.
Subtraction
Before we begin to understand the subtraction of algebraic expressions, we need to list out a few things that form the basis of algebra.
Addition
Before we begin to understand the addition of algebraic expressions, we need to list out a few things that form the basis of algebra.
Topic Video
Question
The blank spots say
Is
Is not
Transcribed Image Text:The weights (in pounds) of 6 vehicles and the variability of their braking distances (in feet) when stopping on a dry surface are shown in the table. Can you conclude that there is a significant linear correlation between vehicle weight and variability in braking distance on a dry surface? Use a = 0.01.
Weight, x
Variability in
braking distance, y
5980
5330
6500
5100
5830
4800
1.76
1.92
1.89
1.64
1.69
1.50
Data Table
E Click here to view a table of critical values for Student's t-distribution.
Setup the hypothesis for the test.
Level of
Но P
0.50
confidence, c
One tail, a
0.80
0.90
0.95
0.98
0.99
0.25
0.10
0.05
0.025
0.01
0.005
Ha: P
d.f.
Two tails, a
0.50
0.20
0.10
0.05
0.02
0.01
1
1.000
3.078
6.314 12.706 31.821 63.657
Identify the critical value(s). Select the correct choice below and fill in any answer boxes within your choice.
(Round to three decimal places as needed.)
2
0.816
1.886
2.920
4.303
6.965
9.925
0.765
1.638
2.353
3.182
4.541
5.841
A. The critical values are
to =
and to =
4
0.741
1.533
2.132
2.776
3.747
4.604
0.727
1.476
2.015
2.571
3.365
4.032
O B. The critical value is
6
0.718
1.440
1.943
2.447
3.143
3.707
7
0.711
1.415
1.895
2.365
2.998
3.499
Calculate the test statistic.
0.706
1.397
1.860
2.306
2.896
3.355
0.703
1.383
1.833
2.262
2.821
3.250
t=
(Round to three decimal places as needed.)
10
0.700
1.372
1.812
2.228
2.764
3.169
11
0.697
1.363
1.796
2.201
2.718
3.106
What is your conclusion?
12
0.695
1.356
1.782
2.179
2.681
3.055
13
0.694
1.350
1.771
2.160
2.650
3.012
There
V enough evidence at the 1% level of significance to conclude that there
V a significant linear correlation between vehicle weight and variability in braking distance on a dry surface.
14
0.692
1.345
1.761
2.145
2.624
2.977
15
0.691
1.341
1.753
2.131
2.602
2.947
16
0.690
1.337
1.746
2.120
2.583
2.921
17
0.689
1.333
1.740
2.110
2.567
2.898
18
0.688
1.330
1.734
2.101
2.552
2.878
19
0.688
1.328
1.729
2.093
2.539
2.861
20
0.687
1.325
1.725
2.086
2.528
2.845
21
0.686
1.323
1.721
2.080
2.518
2.831
22
0.686
1.321
1.717
2.074
2.508
2.819
23
0.685
1.319
1.714
2.069
2.500
2.807
24
0.685
1.318
1.711
2.064
2.492
2.797
25
0.684
1.316
1.708
2.060
2.485
2.787
26
0.684
1.315
1.706
2.056
2.479
2.779
27
0.684
1.314
1.703
2.052
2.473
2.771
28
0.683
1.313
1.701
2.048
2.467
2.763
29
0.683
1.311
1.699
2.045
2.462
2.756
0.674
1.282
1.645
1.960
2.326
2.576
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 1 images
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt