SubjectAge, xBlood Pressure,(independent)y (dependent)A43128B481205613561143E67141F70152A. Use the above data to determine if there is a correlation between the age and the blood pressure using one of the following methods.a. Use p-value and the significance level of a=0.05b. Use the critical value method obtained from the table for a=0.05B. What is the best estimate of pressure for someone who is 65 years old?C. Did you use the equation of a regression line to calculate the estimate for someone who is 65 years old?a. If yes, what is the equation of the regression line that you used? (please use y = mx + b format, where x is the age and y is the blood pressure)

A. Given table : SUBJECT AGE (X) BLOOD PRESSURE (Y) X2 Y2 XY A 43 128 1849 16384 5504 B 48 120 2304 14400 5706 C 56 135 3136 18225 7560 D 61 143 3721 20449 8723 E 67 141 4489 19881 9447 F 70 152 4900 23104 10640 TOTAL ∑X = 345 ∑Y = 819 ∑X2 = 20399 ∑Y2 = 112443 ∑XY = 476341 To calculate sample correlation (r) r = n∑XY - ∑X∑Yn∑X2 - ∑X2n∑Y2 - ∑Y2 = 647634 - 345819620399 - 34526112443 - 8192= 0.8967Null hypothesis : There is no correlation between age an blood pressure Alternative hypothesis : There is correlation between age an blood pressure Test statistics: t = r n - 21 - r2 = 0.8967 6 - 21 - 0.89672 = 4.0516 ≈4.052 a. P-value = 2 × P (t > 4.052) = 2 × (1 - P (t < 4.052)) = 0.0154 b. level of significance = 0.05 degree of freedom = 4 critical value = tc = 2.7764 As P-value < significance level so, it rejects Null hypothesis B. Regression coefficients Y = mx + b m = n∑XY - ∑X∑Yn ∑X2 - ∑X2 = 6.47634 - 3548196.20399 - 3452= 0.964 b = ∑Y∑X2 - ∑X∑XYn∑X2- ∑X2 = 31920399 - 345 47634620399 - 3452= 81.05 Regression equation : Y = mx + b Y = 0.964 x + 81.05 Put x = 65 Y = 0.964 (65) + 81.05 = 143.71 C. Yes, Y = mx + b where m is slope b is intercept Regression equation is Y = 0.964 x + 81.05

Math

Statistics

Subject Age, x Blood Pressure, (independent) y (dependent) A 43 128 B 48 120 56 135 61 143 E 67 141 70 152 A. Use the above data to determine if there is a correlation between the age and the blood pressure using one of the following methods. a. Use p-value and the significance level of a=0.05 o. Use the critical value method obtained from the table for a=0.05 3. What is the best estimate of pressure for someone who is 65 years old? C. Did you use the equation of a regression line to calculate the estimate for someone who is 65 years old? a. If yes, what is the equation of the regression line that you used? (please use y = mx + b format, where x is the age and y is the blood pressure)

Subject Age, x Blood Pressure, (independent) y (dependent) A 43 128 B 48 120 56 135 61 143 E 67 141 70 152 A. Use the above data to determine if there is a correlation between the age and the blood pressure using one of the following methods. a. Use p-value and the significance level of a=0.05 o. Use the critical value method obtained from the table for a=0.05 3. What is the best estimate of pressure for someone who is 65 years old? C. Did you use the equation of a regression line to calculate the estimate for someone who is 65 years old? a. If yes, what is the equation of the regression line that you used? (please use y = mx + b format, where x is the age and y is the blood pressure)

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Concept explainers

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.

Question

Subject
Age, x
Blood Pressure,
(independent)
y (dependent)
A
43
128
B
48
120
56
135
61
143
E
67
141
F
70
152
A. Use the above data to determine if there is a correlation between the age and the blood pressure using one of the following methods.
a. Use p-value and the significance level of a=0.05
b. Use the critical value method obtained from the table for a=0.05
B. What is the best estimate of pressure for someone who is 65 years old?
C. Did you use the equation of a regression line to calculate the estimate for someone who is 65 years old?
a. If yes, what is the equation of the regression line that you used? (please use y = mx + b format, where x is the age and y is the blood pressure)

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