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For a biology project, you measure the weight in grams (g) and the tail length in millimeters (mm) of a group of mice. The equation of the least-squares line for predicting tail length from weight is

predicted tail length =20+3weight

Which of the following is not correct?

a. The slope is 3, which indicates that a mouse鈥檚 predicted tail length should increase by about 3mm for each additional gram of weight.

b. The predicted tail length of a mouse that weighs 38grams is 134millimeters.

c. By looking at the equation of the least-squares line, you can see that the correlation between weight and tail length is positive.

d. If you had measured the tail length in centimeters instead of millimeters, the slope of the regression line would have been 3/10=0.3

e. Mice that have a weight of 0grams will have a tail of length 20mm.

Short Answer

Expert verified

Since we are asked incorrect options, none of these will be the answer as all are correct options.

Step by step solution

01

Part a, Step1: Given Information

We have been that the slope is 3, which indicates that a mouse鈥檚 predicted tail length should increase by about 3mm for each additional gram of weight.

02

Part a, Step 2: Explanation

Given,

predictedtaillength=20+3weight

Hence, slope = 3.

So, this is correct.

03

Part b: Step 1: Given Information

We have been that the predicted tail length of a mouse that weighs 38grams is 134millimeters.

04

Part b: Step 2: Explanation

Replacing weight in the given formula with 38g

predictedtaillength=(20+338)mm=134mm

So, this is correct.

05

Part c: Step 1: Given Information

We have been that by looking at the equation of the least-squares line, you can see that the correlation between weight and tail length is positive.

06

Part c: Step 2: Explanation

This is correct option.

07

Part d: Step 1: Given Information 

We have been that if you had measured the tail length in centimeters instead of millimeters, the slope of the regression line would have been 3/10=0.3.

08

Part d: Step 2: Explanation

Since, 10mm=1cm

So, role="math" localid="1653808608556" 1mm=1/10cm3mm=3/10cm=0.3cm

Thus, this is the correct option.

09

Part e: Step 1: Given Information

We have been that mice that have a weight of 0grams will have a tail of length 20mm.

10

Part e: Step 2: Explanation

Replacing weight in the given formula with 0g.

predictedtaillength=(20+30)mm=20mm

So, this is correct option.

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