contestada

You run a regression analysis on a bivariate set of data (
n
=
11
). With
¯
x
=
23.4
and
¯
y
=
44.6
, you obtain the regression equation
y
=

1.025
x

17.591
with a correlation coefficient of
r
=

0.471
. You want to predict what value (on average) for the response variable will be obtained from a value of 150 as the explanatory variable.

What is the predicted response value?
y =

(Report answer accurate to one decimal place.)

Respuesta :

Answer:

150 approximately-171.3

Step-by-step explanation:

To predict the response value (y) for an explanatory variable value of 150, you would use the regression equation:

y = -1.025x - 17.591

Substitute \(x = 150\) into the equation:

\[y = -1.025(150) - 17.591\]

\[y = -153.75 - 17.591\]

\[y = -171.341\]

So, the predicted response value (y) for an explanatory variable value of 150 is approximately -171.3

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