QuestionFind the expected aptitude test score for a 16-year-old using the formula: Aptitude = 109.7 - 1.10 * Age. Round to the nearest whole number.

Studdy Solution

STEP 1

Assumptions1. The regression line for the predicted value of aptitude given age is $\text { Aptitude }=109.7-1.10^{*} \text { Age }$ . We need to find the expected aptitude test score for a person whose age is16 years.

STEP 2

The regression line equation gives us the expected aptitude score for any given age. We can use this equation to find the expected aptitude score for a16-year-old by substituting16 for Age in the equation.
$\text { Aptitude }=109.7-1.10^{*} \text { Age }$

STEP 3

Substitute16 for Age in the equation.
$\text { Aptitude }=109.7-1.10^{*}16$

STEP 4

Perform the multiplication operation.
$\text { Aptitude }=109.7-17.6$

STEP 5

Subtract17. from109.7 to find the expected aptitude score.
$\text { Aptitude }=92.1$

STEP 6

The problem asks for the answer to be rounded to the nearest whole number. So, we round92.1 to the nearest whole number.
$\text { Aptitude } \approx92$ The expected aptitude test score for a person whose age is16 years is approximately92.

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QuestionFind the expected aptitude test score for a 16-year-old using the formula: Aptitude = 109.7 - 1.10 * Age. Round to the nearest whole number.

Studdy Solution

STEP 1

Assumptions1. The regression line for the predicted value of aptitude given age is $\text { Aptitude }=109.7-1.10^{*} \text { Age }$ . We need to find the expected aptitude test score for a person whose age is16 years.

STEP 2

The regression line equation gives us the expected aptitude score for any given age. We can use this equation to find the expected aptitude score for a16-year-old by substituting16 for Age in the equation.
$\text { Aptitude }=109.7-1.10^{*} \text { Age }$

STEP 3

Substitute16 for Age in the equation.
$\text { Aptitude }=109.7-1.10^{*}16$

STEP 4

Perform the multiplication operation.
$\text { Aptitude }=109.7-17.6$

STEP 5

Subtract17. from109.7 to find the expected aptitude score.
$\text { Aptitude }=92.1$

STEP 6

The problem asks for the answer to be rounded to the nearest whole number. So, we round92.1 to the nearest whole number.
$\text { Aptitude } \approx92$ The expected aptitude test score for a person whose age is16 years is approximately92.

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QuestionFind the expected aptitude test score for a 16-year-old using the formula: Aptitude = 109.7 - 1.10 * Age. Round to the nearest whole number.

Studdy Solution

STEP 1

Assumptions1. The regression line for the predicted value of aptitude given age is Aptitude =109.7−1.10∗ Age \text { Aptitude }=109.7-1.10^{*} \text { Age } Aptitude =109.7−1.10∗ Age . We need to find the expected aptitude test score for a person whose age is16 years.

STEP 2

STEP 3

Substitute16 for Age in the equation. Aptitude =109.7−1.10∗16\text { Aptitude }=109.7-1.10^{*}16 Aptitude =109.7−1.10∗16

STEP 4

Perform the multiplication operation. Aptitude =109.7−17.6\text { Aptitude }=109.7-17.6 Aptitude =109.7−17.6

STEP 5

Subtract17. from109.7 to find the expected aptitude score. Aptitude =92.1\text { Aptitude }=92.1 Aptitude =92.1

STEP 6

The problem asks for the answer to be rounded to the nearest whole number. So, we round92.1 to the nearest whole number. Aptitude ≈92\text { Aptitude } \approx92 Aptitude ≈92The expected aptitude test score for a person whose age is16 years is approximately92.

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Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

Assumptions1. The regression line for the predicted value of aptitude given age is $\text { Aptitude }=109.7-1.10^{*} \text { Age }$ . We need to find the expected aptitude test score for a person whose age is16 years.

Substitute16 for Age in the equation.
$\text { Aptitude }=109.7-1.10^{*}16$

Perform the multiplication operation.
$\text { Aptitude }=109.7-17.6$

Subtract17. from109.7 to find the expected aptitude score.
$\text { Aptitude }=92.1$

The problem asks for the answer to be rounded to the nearest whole number. So, we round92.1 to the nearest whole number.
$\text { Aptitude } \approx92$ The expected aptitude test score for a person whose age is16 years is approximately92.