Step 1: Drinking moderate amounts of wine may help prevent heart attacks. The da

Question

Step 1:
Drinking moderate amounts of wine may help prevent heart attacks. The data on yearly wine consumption (liters of alcohol from drinking wine, per person) and yearly deaths from heart disease (deaths per 100,000 people) in 19 developed countries in 2001 is displayed.

The least-squares regression line for predicting the rate of death due to heart disease caused by wine consumption is:
y = 115.86 8.05x

Fill in the blank:

The predicted rate of death due to heart disease, for an average of 1 liter of alcohol from wine, per year is ____ deaths per thousand people. (Give your answer to two decimal places.)

Step 2:
Fill in the blank:

The predicted rate of death due to heart disease, for an average of 8 liters of alcohol from wine, per year is ____ deaths per thousand people. (Give your answer to one decimal place.)

Step 1:
Drinking moderate amounts of wine may help prevent heart attacks. The data on yearly wine consumption (liters of alcohol from drinking wine, per person) and yearly deaths from heart disease (deaths per 100,000 people) in 19 developed countries in 2001 is displayed.

The least-squares regression line for predicting the rate of death due to heart disease caused by wine consumption is:
y = 115.86 8.05x

Fill in the blank:

The predicted rate of death due to heart disease, for an average of 1 liter of alcohol from wine, per year is ____ deaths per thousand people. (Give your answer to two decimal places.)

Step 2:
Fill in the blank:

The predicted rate of death due to heart disease, for an average of 8 liters of alcohol from wine, per year is ____ deaths per thousand people. (Give your answer to one decimal place.)

TABLE 15.1 Wine consumption and heart disease Alcohol Heart disease from winea death rateb Alcohol Heart disease Country from wine death rateCountry Australia Austria Belgium Canada Denmark Finland 3.25 4.75 2.75 1.50 4.50 3.00 8.50 3.75 1.25 2.00 80 100 60 80 90 120 40 90 110 130 Italy Netherlands New Zealand Norway Spain Sweden Switzerland United Kingdom United States 7.50 2.75 2.50 1.75 5.00 2.50 6.00 2.75 1.25 60 70 100 80 50 90 70 120 120 Germany Iceland Ireland Laters of alcohol from drinking wine, per person. Deaths per 100,000 people, ischemic heart disease

Explanation / Answer

The regression line for predicting the rate of death due to heart disease is given as:

y = 115.86 8.05x

(a) x = 1 liter

y = 115.86 - 8.05 *1

y = 107.81

Predicted rate of death = 107.81

(b) y = 115.86 8.05x

Putting x = 8 in the above equation:

y = 115.86 - 8.05 * 8

= 115.86 - 64.40

= 51.46

Predicted rate of death = 51.46

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