Listed below are systolic blood pressure measurements (in mm Hg) obtained from the same woman. Find the regression equation, letting the right arm blood pressure be the predictor (x) variable. Find the best predicted systolic blood pressure in the left arm given that the systolic blood pressure in the right arm is 80 mm Hg. Use a significance level of 0.05. Right Arm 102 101 93 77 77 O Left Arm 175 168 143 143 143 Click the icon to view the critical values of the Pearson correlation coefficient r Data Table Critical Values of the Pearson Correlation Coefficientr x = 0.05 a = 0.01 |NOTE: To test Ho: 4 0.950 0.990 p = 0 against H,:p#0, reject Ho if the absolute value of r is greater than the critical value in the table. 0.878 0.959 0.811 0.917 0.754 0.875 8 0.707 0.834 9. 0.666 0.798 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. Print Done
Correlation
Correlation defines a relationship between two independent variables. It tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.
Linear Correlation
A correlation is used to determine the relationships between numerical and categorical variables. In other words, it is an indicator of how things are connected to one another. The correlation analysis is the study of how variables are related.
Regression Analysis
Regression analysis is a statistical method in which it estimates the relationship between a dependent variable and one or more independent variable. In simple terms dependent variable is called as outcome variable and independent variable is called as predictors. Regression analysis is one of the methods to find the trends in data. The independent variable used in Regression analysis is named Predictor variable. It offers data of an associated dependent variable regarding a particular outcome.
a. The regression equation is?
b. Given that the systolic blood pressure in the right arm is 80 mm Hg, the best predicted systolic blood pressure is the left arm is?
![Listed below are systolic blood pressure measurements (in mm Hg) obtained from the same woman. Find the regression equation, letting the right arm blood pressure be the predictor (x) variable. Find the best predicted systolic blood pressure in
the left arm given that the systolic blood pressure in the right arm is 80 mm Hg. Use a significance level of 0.05.
Right Arm
102
101
93
77
77 O
Left Arm
175
168
143
143
143
Click the icon to view the critical values of the Pearson correlation coefficient r](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff5303f29-b8fd-4b84-b85e-80e1c769df8a%2Fa100d7e0-918e-450d-b240-a9203c861d17%2F3othys.png&w=3840&q=75)
![Data Table
Critical Values of the Pearson Correlation Coefficientr
x = 0.05
a = 0.01
|NOTE: To test Ho:
4
0.950
0.990
p = 0 against H,:p#0,
reject Ho if the absolute
value of r is greater
than the critical value in
the table.
0.878
0.959
0.811
0.917
0.754
0.875
8
0.707
0.834
9.
0.666
0.798
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.
Print
Done](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff5303f29-b8fd-4b84-b85e-80e1c769df8a%2Fa100d7e0-918e-450d-b240-a9203c861d17%2Fj9ktsh8.png&w=3840&q=75)
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