Listed below are the overhead widths (in cm) of seals measured from photographs and the weights (in kg) of the seals. Construct a scatterplot, find the value of the linear correlation coefficient r, and find the critical values of r using a = 0.01. Is there sufficient evidence to conclude that there is a linear correlation between overhead widths of seals from photographs and the weights of the seals? Overhead Width 7.1 7.6 204 9.7 241 9.3 8.8 8.4 197 202 192 Weight 111 Click here to view a table of critical values for the correlation coefficient. (*** Construct a scatterplot. Choose the correct graph below. OA. OB. OD. Aweight (kg) Aweight (kg) Q Q Aweight (kg) Q 300 300- 300- -▬▬▬▬ Q ▬▬▬▬▬▬▬▬▬ ..... Q C Q TOO 100+ G 100- G 7 10 width (cm) width (cm) width (cm) width (cm) The linear correlation coefficient is r=- (Round to three decimal places as needed.) The critical values are r=. (Round to three decimal places as needed. Use a comma to separate answers as needed.) sufficient evidence to support the claim that there is a linear correlation between overhead widths of seals from photographs Because the absolute value of the linear correlation coefficient is and the weights of the seals for a significance level of α=0.01. Aweight (kg) F PRO than the positive critical value, there O C. 300 100+ 10 100+

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 2CYU
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Listed below are the overhead widths (in cm) of seals measured from photographs and the weights (in kg) of the seals. Construct a scatterplot, find the value of the linear correlation coefficient r, and find the critical values of r using α = 0.01. Is
there sufficient evidence to conclude that there is a linear correlation between overhead widths of seals from photographs and the weights of the seals?
Overhead Width
8.4 O
7.1
111
7.6
204
9.7
241
9.3
197
8.8
202
Weight
192
Click here to view a table of critical values for the correlation coefficient.
Construct a scatterplot. Choose the correct graph below.
A.
B.
O C.
D.
Aweight (kg)
Aweight (kg)
300-
Aweight (kg)
300-
300-
●
...
●●
U
100
100+
100-
7
width (cm)
width (cm)
width (cm)
width (cm)
The linear correlation coefficient is r =
(Round to three decimal places as needed.)
The critical values are r =
(Round to three decimal places as needed. Use a comma to separate answers as needed.)
sufficient evidence to support the claim that there is a linear correlation between overhead widths of seals from photographs
Because the absolute value of the linear correlation coefficient is
and the weights of the seals for a significance level of α = 0.01.
300-
100+
7
10
7
10
than the positive critical value, there
Aweight (kg)
...
●
10
7
..
●
10
Transcribed Image Text:Listed below are the overhead widths (in cm) of seals measured from photographs and the weights (in kg) of the seals. Construct a scatterplot, find the value of the linear correlation coefficient r, and find the critical values of r using α = 0.01. Is there sufficient evidence to conclude that there is a linear correlation between overhead widths of seals from photographs and the weights of the seals? Overhead Width 8.4 O 7.1 111 7.6 204 9.7 241 9.3 197 8.8 202 Weight 192 Click here to view a table of critical values for the correlation coefficient. Construct a scatterplot. Choose the correct graph below. A. B. O C. D. Aweight (kg) Aweight (kg) 300- Aweight (kg) 300- 300- ● ... ●● U 100 100+ 100- 7 width (cm) width (cm) width (cm) width (cm) The linear correlation coefficient is r = (Round to three decimal places as needed.) The critical values are r = (Round to three decimal places as needed. Use a comma to separate answers as needed.) sufficient evidence to support the claim that there is a linear correlation between overhead widths of seals from photographs Because the absolute value of the linear correlation coefficient is and the weights of the seals for a significance level of α = 0.01. 300- 100+ 7 10 7 10 than the positive critical value, there Aweight (kg) ... ● 10 7 .. ● 10
in cm) of seals measured from photographs
hat there is a linear correlation between over
9.7
9.3 8.8
197 202
8.4
192
4
241
ues for the correlation coefficient.
rrect graph below.
B.
width (cm)
=ded.)
ded. Use a comma to separate answers as
than the
ar correlation coefficient is
ficance level of a = 0.01.
Aweight (kg)
300+
100+
7
10
Table of Critical Values
n
α = .05
.950
.878
.811
.754
.707
.666
.632
.602
.576
.553
.532
.514
.497
.482
.468
.456
.444
.396
.361
.335
.312
4567 ∞ OF
8
9
10
11
12
13
14
15
16
17
18
19
20
25
30
35
40
Print
α = .01
.990
.959
.917
.875
.834
.798
.765
.735
.708
.684
.661
.641
.623
.606
.590
.575
.561
.505
.463
.430
.402
Done
linear correlation coefficient r, and fir
D.
Aweight (kg)
300-
100-
7
width (cm)
t there is a linear correlation betweer
Tir
Transcribed Image Text:in cm) of seals measured from photographs hat there is a linear correlation between over 9.7 9.3 8.8 197 202 8.4 192 4 241 ues for the correlation coefficient. rrect graph below. B. width (cm) =ded.) ded. Use a comma to separate answers as than the ar correlation coefficient is ficance level of a = 0.01. Aweight (kg) 300+ 100+ 7 10 Table of Critical Values n α = .05 .950 .878 .811 .754 .707 .666 .632 .602 .576 .553 .532 .514 .497 .482 .468 .456 .444 .396 .361 .335 .312 4567 ∞ OF 8 9 10 11 12 13 14 15 16 17 18 19 20 25 30 35 40 Print α = .01 .990 .959 .917 .875 .834 .798 .765 .735 .708 .684 .661 .641 .623 .606 .590 .575 .561 .505 .463 .430 .402 Done linear correlation coefficient r, and fir D. Aweight (kg) 300- 100- 7 width (cm) t there is a linear correlation betweer Tir
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