Linear Regression Extra Credit

The ages (in years) and the number of hours of sleep in one night for 7 adults is shown. Given

y = -0.09x + 10.45, predict the hours of sleep for someone that is 68 years old.

• 16.57 hours

• -4.33 hours

• -16.57 hours

• 4.33 hours

The linear regression equation is y = 61.93x - 1.79.  Use the equation to predict how far this person will travel after 10 hours of driving.

• 10 miles
• 617.5 miles
• 0.19 miles
• 500 miles

The linear regression equation is y = 61.93x - 1.79.  According to the model, the slope can be interpreted as:

• After 0 hours of driving, they went 61.93 miles.
• They drove at a speed of 61.93 miles per hour.
• They drove 61.93 miles total.
• They drove 61.93 hours total.

Tags

CCSS.HSF.LE.B.5

Using your linear regression, what is y when x is 30?

• 61.59
• 52.46
• 57.94
• 59.76

Tags

CCSS.8.EE.C.8C

If x is temperature and y is coffee sales, use the following formula to determine the coffee sales on a 34° day.

y = -60x+6443

• $4403

• $4673

• $8483

• $6443

Tags

CCSS.HSF.LE.B.5

The equation y = -2x + 7 models the amount of gas remaining in a lawnmower after x hours of use since it was filled. What is the meaning of the slope?

• For each hour of mowing, the mower is predicted to use 2 gallons.

• the predicted amount of gas the lawnmower can hold is 2 gallons

• For every two hours of mowing, the mower is predicted to use 7 gallons.

• The predicted amount of gas remaining after 1 hour is 2 gallons.

Tags

CCSS.HSF.LE.B.5

Rich is a member of a gym. He pays a monthly fee plus a per-visit fee. The equation below represents the monthly amount Rich pays for his membership to the gym per month for x visits.

y= 10 + 3x

What does the y-intercept of the graph of this equation represent?

• The monthly fee

• How much Rich pays per visit

• The number of times Rich goes to the gym

• The total cost at the end of the month

Tags

CCSS.HSF.LE.B.5

The equation of the trend line
is  y= 1/2x +1
How many laps can a bicycle
make around the park in
23 minutes?    

• 42 laps
• 12 1/2 laps
• 23 laps

The scatter plot shows the relationship between the number of chapters and the total number of pages for several books.  Use the trend line to predict how many chapters would be in a book with 180 pages. 

• 12 chapters
• 15 chapters
• 18 chapters
• 21 chapters

Tags

CCSS.HSF.BF.A.2

Write the equation for the linear regression shown.

Tags

CCSS.8.EE.B.5