Find the regression​ equation, letting the diameter be the predictor​ (x) variable. Find the best predicted circumference of a marblewith a diameter of 1.2 cm. How does the result compare to the actual circumference of 3.8 cm? Use a significance level of 0.05.     Baseball Basketball Golf Soccer Tennis ​Ping-Pong Volleyball   Diameter 7.5 24.3 4.2 21.7 6.9 4.1 20.7   Circumference 23.6 76.3 13.2 68.2 21.7 12.9 65.0     View the critical values of the Pearson correlation coefficient r. Critical values of the pearson correlation coefficient r n α=0.05 α=0.01 ​NOTE: To test H0​: ρ=0 against H1​: ρ≠​0, reject H0 if the absolute value of r is greater than the critical value in the table. 4 0.950 0.990 5 0.878 0.959 6 0.811 0.917 7 0.754 0.875 8 0.707 0.834 9 0.666 0.798 10 0.632 0.765 11 0.602 0.735 12 0.576 0.708 13 0.553 0.684 14 0.532 0.661 15 0.514 0.641 16 0.497 0.623 17 0.482 0.606 18 0.468 0.590 19 0.456 0.575 20 0.444 0.561 25 0.396 0.505 30 0.361 0.463 35 0.335 0.430 40 0.312 0.402 45 0.294 0.378 50 0.279 0.361 60 0.254 0.330 70 0.236 0.305 80 0.220 0.286 90 0.207 0.269 100 0.196 0.256 n α=0.05 α=0.01     The regression equation is y= ___________+___________x. ​(Round to five decimal places as​ needed.)   The best predicted circumference for a diameter of 1.2cm is _________cm. ​(Round to one decimal place as​ needed.)

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
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Section 10.2

Question #12

Find the regression​ equation, letting the diameter be the predictor​ (x) variable. Find the best predicted circumference of a marblewith a diameter of 1.2 cm. How does the result compare to the actual circumference of 3.8 cm? Use a significance level of 0.05.
 
 
Baseball
Basketball
Golf
Soccer
Tennis
​Ping-Pong
Volleyball
 
Diameter
7.5
24.3
4.2
21.7
6.9
4.1
20.7
 
Circumference
23.6
76.3
13.2
68.2
21.7
12.9
65.0
 
 
View the critical values of the Pearson correlation coefficient r.
Critical values of the pearson correlation coefficient r
n
α=0.05
α=0.01
​NOTE: To test H0​: ρ=0 against H1​: ρ≠​0, reject H0 if the absolute value of r is greater than the critical value in the table.
4
0.950
0.990
5
0.878
0.959
6
0.811
0.917
7
0.754
0.875
8
0.707
0.834
9
0.666
0.798
10
0.632
0.765
11
0.602
0.735
12
0.576
0.708
13
0.553
0.684
14
0.532
0.661
15
0.514
0.641
16
0.497
0.623
17
0.482
0.606
18
0.468
0.590
19
0.456
0.575
20
0.444
0.561
25
0.396
0.505
30
0.361
0.463
35
0.335
0.430
40
0.312
0.402
45
0.294
0.378
50
0.279
0.361
60
0.254
0.330
70
0.236
0.305
80
0.220
0.286
90
0.207
0.269
100
0.196
0.256
n
α=0.05
α=0.01
 
 
The regression equation is y= ___________+___________x.
​(Round to five decimal places as​ needed.)
 
The best predicted circumference for a diameter of 1.2cm is _________cm.
​(Round to one decimal place as​ needed.)
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