High School Level Stats (regression lines)

Question

Please Help! Drinking moderate amounts of wine may help prevent heart attacks. Let’s look at data for entire nations. 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 were entered into a TI-83 calculator. Two screen shots related to these data are shown. The two variables used are yearly deaths from heart disease and wine consumption per person.

     

(a) What is the equation of the least-squares regression line (do not give the general form)? Define the variables x & y

(wine consumption & yearly deaths) you use in your equation.

Regression Equation: __________________________ x = ___________________ y = _______________________

(b) Interpret the slope of the regression line in this setting. (Do not just give the value – explain what it means in the context of this situation)

(c) Interpret the y-intercept of the regression line in this setting. (Do not just give the value – explain what it means in the context of this situation)

(d) Use your equation to predict heart disease death rate in a country where adults average 8 liters of wine per year. Show your work.

(e) Explain the meaning of r² for these data.

Answer 1

X is the wine consumption

Y is the death rate

Wish to show that Y decreases as X increases

Per the results of the linear regression done

via the calculator:

y = -22.96876741 X + 260.5633751

So for every liter the wine consumption increases,

the death rate drops by 22968

The death rate begins at 260,563 if no one drinks wine

for x = 8, the death rate is -22.96876741 *8 + 260.5633751 = 76.81323582k

= 76813

The closer the R-coefficient is to 1 or 0, the better...

0.71 is fairly strong linear model

Though not asked, by it was so tempting I could not resist...

ACCORDING to the model, at this rate, if everybody drink 11.344247187881641751537071270295

liters, the death rate will be ZER0

That's about 2 gallons and 3 quarts of wine in one year...

SALUTI !!!