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Chapter 3: Q T3.4. (page 215)

Scientists examined the activity level of 7 fish at different temperatures. Fish activity was rated on a scale of 0 (no activity) to 100 (maximal activity). The temperature was measured in degrees Celsius. A computer regression printout and a residual plot are provided. Notice that the horizontal axis on the residual plot is labeled 鈥淔itted value,鈥� which means the same thing as 鈥減redicted value.鈥�

What was the actual activity level rating for the fish at a temperature of 20掳C?

a. 87

b. 84

c. 81

d. 66

e. 3

Short Answer

Expert verified

The correct option is (a)87

Step by step solution

01

Given information

x=Temperature

y=Activity level rating

02

Explanation

Least-squares regression line:

y铃�=a+bx

Calculating the value of aand busing Minitab

a=148.62b=鈭�3.2167

General least-squares regression line:

y铃�=148.62鈭�3.2167x

Finding the expected activity level at 20degrees Celsius by replacing xin the least-squares regression line equation with 20and calculating:

y=Resudal+y铃�=84.286+3=87.286鈮�87

The estimated level of activity is 84.286

The real value would be added to the equation with y

y=Resudal+y铃�=84.286+3=87.286鈮�87

The real level rating for the fish at a temperature of 20degrees Celsius has been found to be around 87

Hence, the correct option is (a)

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