Is there a linear correlation between x and y? Use α = 0.01.   a.) Yes, because the correlation coefficient is not in the critical region. b.) Yes, because the correlation coefficient is in the critical region. c.) No, because the correlation coefficient is in the critical region. d.) No, because the correlation coefficient is not in the critical region.   C. What is correlation coefficient when the point (2,9) is excluded?   r=_________ (Round to three decimal places as needed.)   Is there a linear correlation between x and y? Use

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
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Author:HOUGHTON MIFFLIN HARCOURT
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Chapter4: Writing Linear Equations
Section: Chapter Questions
Problem 11CT
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Is there a linear correlation between x and y? Use α = 0.01.

 

a.) Yes, because the correlation coefficient is not in the critical region.

b.) Yes, because the correlation coefficient is in the critical region.

c.) No, because the correlation coefficient is in the critical region.

d.) No, because the correlation coefficient is not in the critical region.

 

C. What is correlation coefficient when the point (2,9) is excluded?

 

r=_________ (Round to three decimal places as needed.)

 

Is there a linear correlation between x and y? Use α= 0.01

 

a.) No, because the correlation coefficient is in the critical region.

b.) Yes, because the correlation coefficient is not in the critical region.

c.) Yes, because the correlation coefficient is in the critical region.

d.) No, because the correlation coefficient is not in the critical region.

 

Refer to the accompanying scatterplot. a. Examine the pattern of all 10 points and subjectively determine whether there appears to be a
strong correlation between x and y. b. Find the value of the correlation coefficient r and determine whether there is a linear correlation. c.
Remove the point with coordinates (2,9) and find the correlation coefficient r and determine whether there is a linear correlation. d. What do
you conclude about the possible effect from a single pair of values?
Click here to view a table of critical values for the correlation coefficient.
a. Do the data points appear to have a strong linear correlation?
Yes
No
b. What is the value of the correlation coefficient for all 10 data points?
r= (Simplify your answer. Round to three decimal places as needed.)
G
Ay
10
Transcribed Image Text:Refer to the accompanying scatterplot. a. Examine the pattern of all 10 points and subjectively determine whether there appears to be a strong correlation between x and y. b. Find the value of the correlation coefficient r and determine whether there is a linear correlation. c. Remove the point with coordinates (2,9) and find the correlation coefficient r and determine whether there is a linear correlation. d. What do you conclude about the possible effect from a single pair of values? Click here to view a table of critical values for the correlation coefficient. a. Do the data points appear to have a strong linear correlation? Yes No b. What is the value of the correlation coefficient for all 10 data points? r= (Simplify your answer. Round to three decimal places as needed.) G Ay 10
n
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
30 5 30 35
20
25
40
45
50
60
70
80
90
100
a = .05
950
.878
.811
.754
.707
666
632
.602
576
553
532
514
497
482
468
456
444
396
361
335
312
294
279
254
236
220
207
196
« = .01
.990
.959
.917
.875
.834
.798
.765
.735
.708
.684
.661
.641
.623
.606
.590
.575
.561
.505
463
.430
402
.378
.361
.330
.305
.286
269
.256
NOTE: To test Ho: p = 0 against H; p = 0,
reject Ho if the absolute value of ris
greater than the critical value in the table.
Transcribed Image Text:n 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 30 5 30 35 20 25 40 45 50 60 70 80 90 100 a = .05 950 .878 .811 .754 .707 666 632 .602 576 553 532 514 497 482 468 456 444 396 361 335 312 294 279 254 236 220 207 196 « = .01 .990 .959 .917 .875 .834 .798 .765 .735 .708 .684 .661 .641 .623 .606 .590 .575 .561 .505 463 .430 402 .378 .361 .330 .305 .286 269 .256 NOTE: To test Ho: p = 0 against H; p = 0, reject Ho if the absolute value of ris greater than the critical value in the table.
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