Question

Bus and subway ridership for the summer months in​ London, England, is believed to be tied heavily to the number of tourists visiting the city. During the past 12​ years, the following data have been​ obtained:

                                                                                                                                                                                 

Year	1	2	3	4	5	6	7	8	9	10	11	12
Number of Tourists​ (in millions)	7	2	6	4	14	15	16	12	14	20	15	7
Ridership​ (in millions)	1.6	1.1	1.3	1.6	2.5	2.8	2.4	2.0	2.8	4.5	3.4	1.6

b) the least square regression equation shows the best relationship between ridership and number of tourists is ( round your decimal points to three places)

^

y= ______ + ______ x

where ^

y = Dependent vairiable and X = Independent variable

c) If it is expected that 10 million tourists will visit london, then the expected ridership = ____ million riders( round your answer to two decimal places)

d) If there are no tourists at all then the model still predicts a ridership. This is due to that tourists are outside the range of data used to develop the model

e) The standard error of the estimate developed using the least squares regression= _____ (round response to three decimal places)

f) the coefficient of correlation for the least squares regression model is ______ ( round response to three decimal places)

The coefficient of determination for the least square regression model = ________ (round to three decimal places)

Answer 1

b)

from above

y^ =0.548+0.159x

c)

predicted val=0.548+10*0.159=

2.14

e)

SSE =Syy-(Sxy)2/Sxx=

1.8702

	s2 =SSE/(n-2)=	0.1870
std error σ              =	=se =√s2=	0.432

f)

correlation r='Sxy/(√Sxx*Syy) =

0.908

The coefficient of determination for the least square regression model = r² =0.824