Question

Answer the given problem.
Process the data in excel and present the results.
A researcher is interested in knowing how well he can predict blood pressure from sodium intake.
1. Formulate the regression equation for the data.
2. What would be a likely blood pressure reading for a patient with a sodium intake of 6.0? Of 8.5?
PatientsSodiumBP16.515127.317036.616547.517257.618766.716176.716987.819297185107.4190116.2145126.7143​

Answer 1

A regression model is used to show the relationship between variables on a scatter plot

• The regression equation is: $\^y = 28.2\^x- 27.9$
• The likely blood pressure for a patient with sodium intake of 6.0 and 8.5 are 141.3 and 211.8, respectively

How to formulate the regression equation

Using the Microsoft Office Excel, we have the following calculation summary

• Sum of X = 84
• Sum of Y = 2030
• Mean X = 7
• Mean Y = 169.1667
• Sum of squares (SSX) = 2.82
• Sum of products (SP) = 79.4

So, the regression equation is:

$\^y = 28.2\^x- 27.9$

Blood pressure for a sodium intake of 6.0 and 8.5

This means that x = 6.0 and x = 8.5

When x = 6.0, we have:

$\^y = 28.2 * 6.0- 27.9$

$\^y = 141.3$

When x = 8.5, we have:

$\^y = 28.2 * 8.5- 27.9$

$\^y = 211.8$

Hence, the likely blood pressure for a patient with sodium intake of 6.0 and 8.5 are 141.3 and 211.8, respectively

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