Does the y intercept have any physical meaning? Please explain your answer. Do y

Question

Does the y intercept have any physical meaning? Please explain your answer.

Do you think increasing the percent alcohol causes the increase in calories? No points will be given unless you provide a valid explanation that involves the specific context from this problem.

(14.5 pts.) 2. Beer100.com advertises itself as "your Place for All Things Beer." One of their "things" is a list of domestic beer brands with the percent alcohol and calories. A college student wants to know if you can predict the calorie content (y) from the percent alcohol (x). A random sample of domestic beers was obtained, and the calories and the average percent alcohol was measured for each beer. The summary data is shown below. n = 85, Sxx = 28.88, SYY = 60542.05, SXY= 1009.695, R = 4.81.9 = 141.89 The scatter plot of the data is shown below: Calories vs. % Alcohol 210 180 150 120 90 Percent Alcohol

Explanation / Answer

Sol:

y^ =b0+b1x

b1=rSyy/Sx

b0=y bar-b1 xbar

r=Sxy/sqrt(SxxSyy)

=1009.695/sqrt(28.88*60542.05)

=0.7636

slope=Sxy/Sxx=1009.695/28.88

=34.96

y intercept=y bar-B(x bar)

=141.89-34.96(4.81)

=-26.2676

regression eq is

yhat=-26.2676+34.96x

y intercept=-26.2676

Y intercept has no meaning

Do you think increasing the percent alcohol causes the increase in calories

yes since from scatter plot we observe a positive relationship which means  increasing the percent alcohol causes the increase in calories.

r=0.7636

a poistive slope means increasing the percent alcohol causes the increase in calories

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