Question

The following table shows the hot dogs bought from a street vendor over the course of eight days ("Demand). Also shown is the temperature for each day in degrees Celsius Complete parts a and below. Temperature (°C) 19 13 22 18 5 13 17 21 le Demand 4730 35 4220 2144 a. Calculate the slope and y-intercept for the linear regression equation for these data 9-0 ( (Round to two decimal places as needed)

Answer 1

Solution-:

By using R-Software:

> X=c(19,13,22,18,5,13,17,21);X
[1] 19 13 22 18 5 13 17 21
> Y=c(47,30,35,42,20,21,44,34);Y
[1] 47 30 35 42 20 21 44 34
> #(a)For regression equation
> fit=lm(Y~X);fit

Call:
lm(formula = Y ~ X)

Coefficients:
(Intercept) X
13.49 1.29

> #The estimated equation of the line of regression of Y on X is: Y= m*X+b or y=a+b*X
> #The estimated equation of the line of regression of Y on X is:Y=13.49+1.29*X

R-Code:

X=c(19,13,22,18,5,13,17,21);X
Y=c(47,30,35,42,20,21,44,34);Y
#(a)For regression equation
fit=lm(Y~X);fit
#The estimated equation of the line of regression of Y on X is: Y= b+m*X or y=a+b*X
#The estimated equation of the line of regression of Y on X is:Y=13.49+1.29*X