Day 11 Computer Output Practice

Khan Academy Video Notes: (5 minutes)
Caffeine Example Using Computer Output Information:
Cheryl Dixon is interested to see if students who consume more caffeine tend to study more as well. 
She randomly selects 20 students at her school and records their caffeine intake (mg) and the number of hours spent studying. 
A scatterplot of the data showed a linear relationship.

Watch the Khan Academy video (5 min).
Use the following link: https://bit.ly/37fW2gE

You may need to copy and paste it into your browser.
Watch the video then work through the problems below.
Use information from the video to answer #1-7

4

1. Read the information carefully above, the relationship of what two variables is being analyzed?
Select both from the list below.

2. Use the 'show your work' section to circle the data that we are interested in when looking at computer output at this time.

4

Which variable is the explanatory variable, doing the predicting?

4

Which variable is the response variable, being predicted?

4

Create the Linear Model Equation for the Line of Best Fit (LSRL) for predicting values of hours studying from the caffeine consumption of a student.
Use meaningful words (not x and y like in the video) and proper notation to show what is predicted.
Use 'hours' and 'caffeine' for the variables in the equation.
No spaces.

4

Give the correlation coefficient (r). r=
You will need to take a square root, round to three places past the decimal point.
Remember:
1. R squared is given as a percent, convert to a decimal first.
2. R squared is always positive, you need to read carefully to determine if the relationship is positive or negative and use that sign on the correlation coefficient.

4

Use the Linear Model from #4 to predict the amount of studying a student will do if they consume 80 mg of caffeine (found in 8 oz of Starbucks Cold Brew).

Round the hours to two places past the decimal.

4

If the student in #6 actually does 4.5 hours of studying, what is the residual?

9

0.615
84.7%
2.204

4

Use the information from #8 to calculate the correlation coefficient (remember, the signs of the slope and correlation coefficient need to be the same).
Match the values below.

Draggable item		Corresponding Item
% other drug use		Explanatory Variable (Predictor)

4

Use the information above to write the equation for predicting '% other drug use' from the '% marijuana use' be teenagers.
Make sure to use meaningful words and correct notation to show which variable is being predicted.
Use 'other' and 'marijuana' for the variables.
No spaces.
Round the numbers to three places past the decimal point.

4

Think about the intercept.
Does this point have meaning?
If so explain the meaning or is it just a starting point?
Select both answers.

4

A country reported that 22% of their teens smoked marijuana,
use the equation from #10 to predict the percent that use other drugs as well.
Keep the 22% as a precent in the equation (don't change to a decimal here).

Round your answer to two places past the decimal.

4

A consumer organization reported test data for 50 car models. They examined the association between the weight of the car (in thousands of pounds) and the fuel efficiency (in miles per gallon.)

See the chart below for the computer regression analysis for this data.

Calculate the correlation coefficient.
Round to three places past the decimal.
Be careful of the sign, remember from last time the sign of the correlation coefficient and slope MUST BE THE SAME!

4

Draggable item		Corresponding Item
Car Weight		Intercept: _________________ mpg
-0.935		Slope: ______________ wt/mpg

4

Use the computer output to write an equation for the Linear Model predicting the fuel efficiency of a car from its weight.
Be sure to use meaningful words and proper notation.
Use 'weight' and 'mpg' for the variable names.

4

Explain what the correlation coefficient tells us about the relationship between car weight and fuel efficiency.
1. Describe the relationship.
2. Interpret the relationship:
'As the car weight...'

4

A Toyota 4Runner weighs 4,400 pounds, calculate the predicted fuel efficiency.

Hint: how many 'thousands of pounds' is this?
Calculate the predicted fuel efficiency.
Round your answer to three places past the decimal.

4

If the 4Runner actually gets 15 mpg, calculate the residual and explain its meaning.
Select both answers below.

4

If you were purchasing a car, would you rather have a car that had a positive residual for price or negative residual for price?
Why?

4

Draggable item		Corresponding Item
5.054		Intercept: ________ days
Age in years		Slope: ________ days per year

4

Create the linear model equation for predicting the number of days to return to a sport after arthroscopic shoulder surgery.
Be careful to use meaningful words and correct notation to show which variable is predicted.
Use 'age' and 'days' for the variable names.
No spaces.

4

Predict the time to return to weight lifting for a 15 year old athlete.
Round to three places past the decimal.

4

If it actually took 12 days to return to weight lifting after surgery, calculate the residual and explain the meaning.

9

205.308
-1.49
75.4%

4

Use the computer output information to create the linear model equation for predicting a baby's weight with the mother's age.
Be sure to use meaningful words and correct notation (-hat) to show the variable that is being predicted.
Use 'weight' and 'age' for the variables.

4

Calculate r and explain what it tells us about the relationship between mother’s age and baby birth weight.
Round the value to three places past the decimal.
Select both answers below:

4

Use the equation from #27:
An 18 yr old mother gave birth, use the linear model to predict how much her baby will weigh.

If the residual was -195.6 grams, what was the actual weight of the baby?

Set up the residual equation and use algebra to calculate.

Draggable item		Corresponding Item
% other drug use		Explanatory Variable (Predictor)
-3.068		Response Variable
% Marijuana Use		Intercept: _____________ percent other drug use
0.615		Slope: ____________ % other drug use per percent marijuana use
0.869		Correlation coefficient

Day 11 Computer Output Practice

1. Read the information carefully above, the relationship of what two variables is being analyzed?Select both from the list below.2. Use the 'show your work' section to circle the data that we are interested in when looking at computer output at this time.

Which variable is the explanatory variable, doing the predicting?

Which variable is the response variable, being predicted?

Use the Linear Model from #4 to predict the amount of studying a student will do if they consume 80 mg of caffeine (found in 8 oz of Starbucks Cold Brew).Round the hours to two places past the decimal.

If the student in #6 actually does 4.5 hours of studying, what is the residual?

Use the information from #8 to calculate the correlation coefficient (remember, the signs of the slope and correlation coefficient need to be the same).Match the values below.

Think about the intercept. Does this point have meaning?If so explain the meaning or is it just a starting point?Select both answers.

A country reported that 22% of their teens smoked marijuana, use the equation from #10 to predict the percent that use other drugs as well.Keep the 22% as a precent in the equation (don't change to a decimal here).Round your answer to two places past the decimal.

Use the computer output to write an equation for the Linear Model predicting the fuel efficiency of a car from its weight. Be sure to use meaningful words and proper notation.Use 'weight' and 'mpg' for the variable names.

Explain what the correlation coefficient tells us about the relationship between car weight and fuel efficiency.1. Describe the relationship.2. Interpret the relationship:'As the car weight...'

A Toyota 4Runner weighs 4,400 pounds, calculate the predicted fuel efficiency.Hint: how many 'thousands of pounds' is this?Calculate the predicted fuel efficiency.Round your answer to three places past the decimal.

If the 4Runner actually gets 15 mpg, calculate the residual and explain its meaning.Select both answers below.

If you were purchasing a car, would you rather have a car that had a positive residual for price or negative residual for price?Why?

Create the linear model equation for predicting the number of days to return to a sport after arthroscopic shoulder surgery.Be careful to use meaningful words and correct notation to show which variable is predicted.Use 'age' and 'days' for the variable names.No spaces.

Predict the time to return to weight lifting for a 15 year old athlete.Round to three places past the decimal.

If it actually took 12 days to return to weight lifting after surgery, calculate the residual and explain the meaning.

Use the computer output information to create the linear model equation for predicting a baby's weight with the mother's age.Be sure to use meaningful words and correct notation (-hat) to show the variable that is being predicted.Use 'weight' and 'age' for the variables.

Calculate r and explain what it tells us about the relationship between mother’s age and baby birth weight.Round the value to three places past the decimal.Select both answers below:

Use the equation from #27:An 18 yr old mother gave birth, use the linear model to predict how much her baby will weigh.If the residual was -195.6 grams, what was the actual weight of the baby?Set up the residual equation and use algebra to calculate.

1. Read the information carefully above, the relationship of what two variables is being analyzed?Select both from the list below.2. Use the 'show your work' section to circle the data that we are interested in when looking at computer output at this time.

Which variable is the explanatory variable, doing the predicting?

Which variable is the response variable, being predicted?

Use the Linear Model from #4 to predict the amount of studying a student will do if they consume 80 mg of caffeine (found in 8 oz of Starbucks Cold Brew).Round the hours to two places past the decimal.

If the student in #6 actually does 4.5 hours of studying, what is the residual?

Use the information from #8 to calculate the correlation coefficient (remember, the signs of the slope and correlation coefficient need to be the same).Match the values below.

Think about the intercept. Does this point have meaning?If so explain the meaning or is it just a starting point?Select both answers.

A country reported that 22% of their teens smoked marijuana, use the equation from #10 to predict the percent that use other drugs as well.Keep the 22% as a precent in the equation (don't change to a decimal here).Round your answer to two places past the decimal.

If the country had collected data and actual reported that 13% used other drugs as well, calculate the residual and explain its meaning.Select both correct answers.

Use the computer output to write an equation for the Linear Model predicting the fuel efficiency of a car from its weight. Be sure to use meaningful words and proper notation.Use 'weight' and 'mpg' for the variable names.

Explain what the correlation coefficient tells us about the relationship between car weight and fuel efficiency.1. Describe the relationship.2. Interpret the relationship:'As the car weight...'

A Toyota 4Runner weighs 4,400 pounds, calculate the predicted fuel efficiency.Hint: how many 'thousands of pounds' is this?Calculate the predicted fuel efficiency.Round your answer to three places past the decimal.

If the 4Runner actually gets 15 mpg, calculate the residual and explain its meaning.Select both answers below.

If you were purchasing a car, would you rather have a car that had a positive residual for price or negative residual for price?Why?

Create the linear model equation for predicting the number of days to return to a sport after arthroscopic shoulder surgery.Be careful to use meaningful words and correct notation to show which variable is predicted.Use 'age' and 'days' for the variable names.No spaces.

Predict the time to return to weight lifting for a 15 year old athlete.Round to three places past the decimal.

If it actually took 12 days to return to weight lifting after surgery, calculate the residual and explain the meaning.

Use the computer output information to create the linear model equation for predicting a baby's weight with the mother's age.Be sure to use meaningful words and correct notation (-hat) to show the variable that is being predicted.Use 'weight' and 'age' for the variables.

Calculate r and explain what it tells us about the relationship between mother’s age and baby birth weight.Round the value to three places past the decimal.Select both answers below:

Use the equation from #27:An 18 yr old mother gave birth, use the linear model to predict how much her baby will weigh.If the residual was -195.6 grams, what was the actual weight of the baby?Set up the residual equation and use algebra to calculate.

1. Read the information carefully above, the relationship of what two variables is being analyzed?
Select both from the list below.

2. Use the 'show your work' section to circle the data that we are interested in when looking at computer output at this time.

Use the Linear Model from #4 to predict the amount of studying a student will do if they consume 80 mg of caffeine (found in 8 oz of Starbucks Cold Brew).

Round the hours to two places past the decimal.

Use the information from #8 to calculate the correlation coefficient (remember, the signs of the slope and correlation coefficient need to be the same).
Match the values below.

Think about the intercept.
Does this point have meaning?
If so explain the meaning or is it just a starting point?
Select both answers.

A country reported that 22% of their teens smoked marijuana,
use the equation from #10 to predict the percent that use other drugs as well.
Keep the 22% as a precent in the equation (don't change to a decimal here).

Round your answer to two places past the decimal.

Use the computer output to write an equation for the Linear Model predicting the fuel efficiency of a car from its weight.
Be sure to use meaningful words and proper notation.
Use 'weight' and 'mpg' for the variable names.

Explain what the correlation coefficient tells us about the relationship between car weight and fuel efficiency.
1. Describe the relationship.
2. Interpret the relationship:
'As the car weight...'

A Toyota 4Runner weighs 4,400 pounds, calculate the predicted fuel efficiency.

Hint: how many 'thousands of pounds' is this?
Calculate the predicted fuel efficiency.
Round your answer to three places past the decimal.

If the 4Runner actually gets 15 mpg, calculate the residual and explain its meaning.
Select both answers below.

If you were purchasing a car, would you rather have a car that had a positive residual for price or negative residual for price?
Why?

Create the linear model equation for predicting the number of days to return to a sport after arthroscopic shoulder surgery.
Be careful to use meaningful words and correct notation to show which variable is predicted.
Use 'age' and 'days' for the variable names.
No spaces.

Predict the time to return to weight lifting for a 15 year old athlete.
Round to three places past the decimal.

Use the computer output information to create the linear model equation for predicting a baby's weight with the mother's age.
Be sure to use meaningful words and correct notation (-hat) to show the variable that is being predicted.
Use 'weight' and 'age' for the variables.

Calculate r and explain what it tells us about the relationship between mother’s age and baby birth weight.
Round the value to three places past the decimal.
Select both answers below:

Use the equation from #27:
An 18 yr old mother gave birth, use the linear model to predict how much her baby will weigh.

If the residual was -195.6 grams, what was the actual weight of the baby?

Set up the residual equation and use algebra to calculate.

1. Read the information carefully above, the relationship of what two variables is being analyzed?
Select both from the list below.

2. Use the 'show your work' section to circle the data that we are interested in when looking at computer output at this time.

Use the Linear Model from #4 to predict the amount of studying a student will do if they consume 80 mg of caffeine (found in 8 oz of Starbucks Cold Brew).

Round the hours to two places past the decimal.

Use the information from #8 to calculate the correlation coefficient (remember, the signs of the slope and correlation coefficient need to be the same).
Match the values below.

Think about the intercept.
Does this point have meaning?
If so explain the meaning or is it just a starting point?
Select both answers.

A country reported that 22% of their teens smoked marijuana,
use the equation from #10 to predict the percent that use other drugs as well.
Keep the 22% as a precent in the equation (don't change to a decimal here).

Round your answer to two places past the decimal.

If the country had collected data and actual reported that 13% used other drugs as well,
calculate the residual and explain its meaning.
Select both correct answers.

Use the computer output to write an equation for the Linear Model predicting the fuel efficiency of a car from its weight.
Be sure to use meaningful words and proper notation.
Use 'weight' and 'mpg' for the variable names.

Explain what the correlation coefficient tells us about the relationship between car weight and fuel efficiency.
1. Describe the relationship.
2. Interpret the relationship:
'As the car weight...'

A Toyota 4Runner weighs 4,400 pounds, calculate the predicted fuel efficiency.

Hint: how many 'thousands of pounds' is this?
Calculate the predicted fuel efficiency.
Round your answer to three places past the decimal.

If the 4Runner actually gets 15 mpg, calculate the residual and explain its meaning.
Select both answers below.

If you were purchasing a car, would you rather have a car that had a positive residual for price or negative residual for price?
Why?

Create the linear model equation for predicting the number of days to return to a sport after arthroscopic shoulder surgery.
Be careful to use meaningful words and correct notation to show which variable is predicted.
Use 'age' and 'days' for the variable names.
No spaces.

Predict the time to return to weight lifting for a 15 year old athlete.
Round to three places past the decimal.

Use the computer output information to create the linear model equation for predicting a baby's weight with the mother's age.
Be sure to use meaningful words and correct notation (-hat) to show the variable that is being predicted.
Use 'weight' and 'age' for the variables.

Calculate r and explain what it tells us about the relationship between mother’s age and baby birth weight.
Round the value to three places past the decimal.
Select both answers below:

Use the equation from #27:
An 18 yr old mother gave birth, use the linear model to predict how much her baby will weigh.

If the residual was -195.6 grams, what was the actual weight of the baby?

Set up the residual equation and use algebra to calculate.