## Math Problem Statement

Pictured above are the critical values of the Pearson correlation coefficient r. The data show systolic and diastolic blood pressure of certain people. Find the regression equation, letting the systolic reading be the independent (x) variable. If one of these people has a systolic blood pressure of 137 mm Hg, what is the best predicted diastolic blood pressure? The data for systolic blood pressure is as follows in respective order : 122, 134, 143, 140, 135, 113, 110, 145. The data for diastolic blood pressure in respective order is as follows : 62,71, 80,80, 100,59, 82, 105. find the regression equation and round to two decimal places as needed.

## Solution

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## Math Problem Analysis

### Mathematical Concepts

Linear Regression

Pearson Correlation Coefficient

Algebra

### Formulas

Linear regression equation: y = mx + b

Slope formula: m = (nΣxy - ΣxΣy) / (nΣx^2 - (Σx)^2)

Intercept formula: b = (Σy - mΣx) / n

### Theorems

Least Squares Regression

Pearson Correlation Coefficient

### Suitable Grade Level

Grades 10-12

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