Question

The heart disease death rates per 100,000 people in the United States for certain years, as reported by the National Center for Health Statistics, were Year 1950 1960 1970 1975 1980 Death rate 307.6 286.2 253.6 217.8 202.0 Based on the regression line, what is the predicted death rate for the year 1983?

Answer 1

Answer:

The predicted death rate for the year 1983 is 195.3.

Step-by-step explanation:

The data provided is as follows:

Year X    Y

1950 1 307.6

1960 11 286.2

1970 21 253.6

1975 26 217.8

1980 31 202

.0

Use Excel to form a regression line:

Go to Data → Data Analysis → Regression

Select the X and Y variable

Press Ok

The regression analysis output is attached below.

The regression line is:

$\hat y=318.72-3.63\cdot x$

Compute the death rate for the year 1983 as follows:

For the year 1983, x = 34

$\hat y=318.72-3.63\cdot x$

  $=318.72-3.63\cdot 34\\\\=318.72-123.42\\\\=195.3$

Thus, the predicted death rate for the year 1983 is 195.3.