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Chapter 3: Q T3.8. (page 216)

There is a linear relationship between the number of chirps made by the striped ground cricket and the air temperature. A least-squares fit of some data collected by a biologist gives the model y^=25.2+3.3x , where x is the number of chirps per minute and y^ is the estimated temperature in degrees Fahrenheit. What is the predicted increase in temperature for an increase of = chirps per minute?

a. 3.3掳F

b. 16.5掳F

c. 25.2掳F

d. 28.5掳F

e. 41.7掳F

Short Answer

Expert verified

The correct option is (b)16.5掳F

Step by step solution

01

Given information

The regression equation for least-squares

y铃�=25.2+3.3x

02

Concept

The least-squares regression line reduces the sum of squares of vertical distances between the observed points and the line to zero.

03

Explanation

replacingxbyx+5y铃�=25.2+3.3(x+5)=(25.2+3.3x)+16.5

It is observed that if x is increased by 5 then the expected value y increases by 16.5F

Hence, the correct option is (b)

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