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 100 99 93 77 77 ₁ Left Arm 174 168 148 148 146 Click the icon to view the critical values of the Pearson correlation coefficient r ... The regression equation is y=+x. (Round to one decimal place as needed.) Given that the systolic blood pressure in the right arm is 80 mm Hg, the best predicted systolic blood pressure in the left arm is mm Hg. (Round to one decimal place as needed.) - Data table Critical Values of the Pearson Correlation Coefficient r α = 0.05 α = 0.01 n 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 NOTE: To test Ho: p=0 against H₁: p=0, reject Ho if the absolute value of r is greater than the critical value in the table. X

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question
### Systolic Blood Pressure Measurements Analysis

Listed below are systolic blood pressure measurements (in mm Hg) obtained from the same woman. Our goal is to find the regression equation, letting the right arm blood pressure be the predictor (\( x \)) variable. Additionally, we'll be identifying the best predicted systolic blood pressure in the left arm given that the systolic blood pressure in the right arm is 80 mm Hg, using a significance level of 0.05.

#### Blood Pressure Measurements
- **Right Arm:** 100, 99, 93, 77, 77
- **Left Arm:** 174, 168, 148, 148, 146

Click the icon to view the critical values of the Pearson correlation coefficient \( r \).

---

#### Finding the Regression Equation

The regression equation is given by:

\[ \hat{y} = b_0 + b_1 x \]

(Round to one decimal place as needed.)

#### Prediction for Given Blood Pressure

Given that the systolic blood pressure in the right arm is 80 mm Hg, the best predicted systolic blood pressure in the left arm is \( \hat{y} \) mm Hg.

(Round to one decimal place as needed.)

---

### Data Table for Pearson Correlation Coefficient \( r \)

The table below provides critical values of the Pearson correlation coefficient \( r \) for significance levels \( \alpha = 0.05 \) and \( \alpha = 0.01 \):

#### Critical Values of the Pearson Correlation Coefficient \( r \)

| \( n \) | \( \alpha = 0.05 \) | \( \alpha = 0.01 \) |
|:------:|:-------------------:|:-------------------:|
|    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
Transcribed Image Text:### Systolic Blood Pressure Measurements Analysis Listed below are systolic blood pressure measurements (in mm Hg) obtained from the same woman. Our goal is to find the regression equation, letting the right arm blood pressure be the predictor (\( x \)) variable. Additionally, we'll be identifying the best predicted systolic blood pressure in the left arm given that the systolic blood pressure in the right arm is 80 mm Hg, using a significance level of 0.05. #### Blood Pressure Measurements - **Right Arm:** 100, 99, 93, 77, 77 - **Left Arm:** 174, 168, 148, 148, 146 Click the icon to view the critical values of the Pearson correlation coefficient \( r \). --- #### Finding the Regression Equation The regression equation is given by: \[ \hat{y} = b_0 + b_1 x \] (Round to one decimal place as needed.) #### Prediction for Given Blood Pressure Given that the systolic blood pressure in the right arm is 80 mm Hg, the best predicted systolic blood pressure in the left arm is \( \hat{y} \) mm Hg. (Round to one decimal place as needed.) --- ### Data Table for Pearson Correlation Coefficient \( r \) The table below provides critical values of the Pearson correlation coefficient \( r \) for significance levels \( \alpha = 0.05 \) and \( \alpha = 0.01 \): #### Critical Values of the Pearson Correlation Coefficient \( r \) | \( n \) | \( \alpha = 0.05 \) | \( \alpha = 0.01 \) | |:------:|:-------------------:|:-------------------:| | 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
Expert Solution
steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman