AGE (x) PA (y) x^2 Y^2 XY 20 120 400 14400 2400 43 128 1849 16384 5504 63 141 3969 19881 8883 26 126 676 15876 3276 53 134 2809 17956 7102 31 128 961 16384 3968 58 136 3364 18496 7888 46 132 2116 17424 6072 58 140 3364 19600 8120 70 144 4900 20736 10080 468 1329 24408 177137 63293 2) Find the correlation between age and blood pressure using Pearson's correlation coefficient and comment on the nature and strength of the coefficient 3) Make the scatter plot 4) Find the regression equation 5) What is the predictable blood pressure for a 20 year old man? 6) Plot the regression line

AGE (x) PA (y) x^2 Y^2 XY 20 120 400 14400 2400 43 128 1849 16384 5504 63 141 3969 19881 8883 26 126 676 15876 3276 53 134 2809 17956 7102 31 128 961 16384 3968 58 136 3364 18496 7888 46 132 2116 17424 6072 58 140 3364 19600 8120 70 144 4900 20736 10080 468 1329 24408 177137 63293 2) Find the correlation between age and blood pressure using Pearson's correlation coefficient and comment on the nature and strength of the coefficient 3) Make the scatter plot 4) Find the regression equation 5) What is the predictable blood pressure for a 20 year old man? 6) Plot the regression line

Trigonometry (MindTap Course List)

8th Edition

ISBN:9781305652224

Author:Charles P. McKeague, Mark D. Turner

Publisher:Charles P. McKeague, Mark D. Turner

Chapter4: Graphing And Inverse Functions

Section: Chapter Questions

Problem 6GP: If your graphing calculator is capable of computing a least-squares sinusoidal regression model, use...

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Concept explainers

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.

Question

100%

AGE (x)

PA (y)

x^2

Y^2

120

400

14400

2400

128

1849

16384

5504

141

3969

19881

8883

126

676

15876

3276

134

2809

17956

7102

128

961

16384

3968

136

3364

18496

7888

132

2116

17424

6072

140

3364

19600

8120

144

4900

20736

10080

468

1329

24408

177137

63293

2) Find the correlation between age and blood pressure using Pearson's correlation coefficient and comment on the nature and strength of the coefficient

3) Make the scatter plot

4) Find the regression equation

5) What is the predictable blood pressure for a 20 year old man?

6) Plot the regression line

Definition Definition Statistical measure used to assess the strength and direction of relationships between two variables. Correlation coefficients range between -1 and 1. A coefficient value of 0 indicates that there is no relationship between the variables, whereas a -1 or 1 indicates that there is a perfect negative or positive correlation.

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