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=0.05. 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 Weight 7.8 188 9.8 248 9.2 195 8.7 198 8.3 191 114 Click here to view a table of critical values for the correlation coefficient

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Author:Carter
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Chapter4: Equations Of Linear Functions
Section4.6: Regression And Median-fit Lines
Problem 1AGP
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the table of critical value for the corelation coeficcient is the image screenshot(12).png 

a. find the linear coeffecient

b find the critical values

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= 0.05. 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
7.8
9.8
9.2
8.7
8.3
Weight
114
188
248
195
198
191
Click here to view a table of critical values for the correlation coefficient.
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 a= 0.05. 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 7.8 9.8 9.2 8.7 8.3 Weight 114 188 248 195 198 191 Click here to view a table of critical values for the correlation coefficient.
a = .05
a = 01
4
.950
.990
.878
.959
6
.811
.917
7
754
.875
8
.707
.834
9
.666
.798
10
.632
.765
11
.602
.735
12
.576
.708
13
.553
.684
14
.532
.661
15
.514
.641
16
.497
.623
17
.482
.606
18
.468
.590
19
.456
575
20
.444
.561
25
.396
.505
30
.361
.463
35
.335
430
40
312
.402
45
294
.378
50
.279
361
60
.254
.330
70
.236
.305
80
220
286
90
207
269
100
.196
256
NOTE: To test Ho: p = 0 against H;: p ± 0,
reject Ho if the absolute value of r is
greater than the critical value in the table.
Transcribed Image Text:a = .05 a = 01 4 .950 .990 .878 .959 6 .811 .917 7 754 .875 8 .707 .834 9 .666 .798 10 .632 .765 11 .602 .735 12 .576 .708 13 .553 .684 14 .532 .661 15 .514 .641 16 .497 .623 17 .482 .606 18 .468 .590 19 .456 575 20 .444 .561 25 .396 .505 30 .361 .463 35 .335 430 40 312 .402 45 294 .378 50 .279 361 60 .254 .330 70 .236 .305 80 220 286 90 207 269 100 .196 256 NOTE: To test Ho: p = 0 against H;: p ± 0, reject Ho if the absolute value of r is greater than the critical value in the table.
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