Question: Consider the following data. Suppose that the relation - ship between Y and x is hypothesized to be Y = ( 0 + 1

Consider the following data. Suppose that the relation -

ship between Y and x is hypothesized to be Y = (β0 + β1x + e)− . 1

Fit an appropriate model to the data. Does the assumed model

form seem reasonable?

x 10 15 18 12 9 8 11 6 y 0.1 0.13

11-100. The data in Table E11-17 adapted from Montgomery,

Peck, and Vining (2012), present the number of certifi ed mental

defectives per 10,000 of estimated population in the United Kingdom

(y) and the number of radio receiver licenses issued (x) by the

BBC (in millions) for the years 1924

0.09 0.09 0.15 0.20 0.21 0.18 0.24

through 1937. Fit a regression model relating y and x. Comment

on the model. Specifically, does the existence of a strong

correlation imply a cause-and-effect relationship?

x 10 15 18 12 9 8 11 6 y 0.1 0.13 0.09 0.09 0.15 0.20 0.21 0.18 0.24

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