Annabelle records the length, in inches, of a colored pencil over time. Review the table showing her data. Time (Weeks) Length (Inches) 0 7.5 2 7.5 4 7 5 6 7 2 8 1 10 0.5 12 0.25 13 0.2 Which description best fits the regression model for the data? logistic equation of the form y = , with a = 7.576, b = 0.001, and c = –1.107 logistic equation of the form y = , with a = 0.001, b = –1.107, and c = 7.576 trigonometric equation of the form y = a sin(bx + c) + d, with a = 4.15, b = 0.34, c = 497.43, and d = 3.80 trigonometric equation of the form y = a sin(bx + c) + d, with a = –4.15, b = –0.34, c = –497.43, and d = 3.80

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Annabelle records the length, in inches, of a colored pencil over time. Review the table showing her data.

Time (Weeks)

Length (Inches)

0

7.5

2

7.5

4

7

5

6

7

2

8

1

10

0.5

12

0.25

13

0.2

Which description best fits the regression model for the data?

logistic equation of the form y = , with
a = 7.576, b = 0.001, and c = –1.107
logistic equation of the form y = , with
a = 0.001, b = –1.107, and c = 7.576
trigonometric equation of the form y = a sin(bx + c) + d, with a = 4.15, b = 0.34, c = 497.43, and d = 3.80
trigonometric equation of the form y = a sin(bx + c) + d, with a = –4.15, b = –0.34, c = –497.43, and d = 3.80
Expert Solution
Step 1

Given

The data of records the length, in inches, of a colored pencil over time
Statistics homework question answer, step 1, image 1

The length of the colored pencil will converge to zero as time increases, so cannot use a trigonometric regression.

Using a TI 84 calculator to see the best fit logistic regression equation we follow these steps

Press STAT and Click on EDIT
Enter the data in list 1 and list 2 as shown below
Statistics homework question answer, step 1, image 2

Press STAT and select the CALC and in CALC select option B as shown below
Statistics homework question answer, step 1, image 3

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