Question

5. The following data relates the physiological response to alcohol intake by measuring the 'Drop in Body Temperature (°C)' a person experiences per 'Dose of Alcohol Dose of Alcohol (g/kg)Drop in Body Temperature (°C) 13 15 4 4 Mean = 3 Mean -13 a. Compute the linear regression line equation that describes the effect of b. Interpret the value of the slope of the regression line, bi, in the context of this c. Calculate the predicted values, y, for each Dose of Alcohol based on the alcohol on body temperature. setting. regression line equation calculated in part a and plot the data from the table in a scatterplot. Include the values of y.

Answer 1

a)

SSxx =    Σ(x-x̅)² =    10
SSxy=   Σ(x-x̅)(y-ȳ) =   40

estimated slope , ß1 = SSxy/SSxx =   40.0   /   10.000   =   4
                  
intercept,   ß0 = y̅-ß1* x̄ = 13-4*3= 1

so, regression line is   Ŷ = 1 + 4*X

b)

for each g/kg increase in dose of alcohol, drop in body temperature increase by 4 degree celcius

c)

X	Y				Ŷ=1+4x
3	13				13.00
4	15				17.00
1	4				5.00
2	11				9.00
5	22				21.00