An Internet advertising agency is studying the number of "hits" on a certain web site during an advertising campaign. It is hoped that as the campaign progresses, the number of hits on the web site...

An Internet advertising agency is studying the number of "hits" on a certain web site during an advertising campaign. It is hoped that as the campaign progresses, the number of hits on the web site will also increase in a predictable way from one day to the next. For 10 days of the campaign, the number of

hits × 10⁵

is shown.

Original Time Series

Day	1	2	3	4	5	6	7	8	9	10
Hits × 10⁵	1.2	3.5	4.4	7.3	6.7	8.1	9.0	11.2	13.1	14.8

(a) To construct a serial correlation, we use data pairs

(x, y)

wherex = original data andy = original data shifted ahead by one time period. Construct the data set

(x, y)

for serial correlation by filling in the following table.

x	1.2	3.5	4.4	7.3	6.7	8.1	9.0	11.2	13.1
y

(b) For the

(x, y)

data set of part (a), compute the equation of the sample least-squares line

ŷ = a + bx.

(Use 4 decimal places.)

a
b

If the number of hits was

9.3 (× 10⁵)

one day, what do you predict for the number of hits the next day? (Use 1 decimal place.)

(× 10⁵) hits

r².

(Use 4 decimal places.)

r
r ²

Test

ρ > 0

at the 1% level of significance. (Use 2 decimal places.)

t
criticalt

Jun 05, 2022

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An Internet advertising agency is studying the number of "hits" on a certain web site during an advertising campaign. It is hoped that as the campaign progresses, the number of hits on the web site...

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