Homework #5.7: Interpreting Linear Regression

Which of the following statements are supported by the scatterplot?
I.   There is a positive association between height and volume.
II.  There is an outlier in the plot. 
III.  As the height of a cherry tree increases, the volume of useable lumber it yields increases.

• I only
• II only
• I and II only
• I, II, and III

Tags

CCSS.8.SP.A.1

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

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

Which choice correct describes the relationship between the two variables?

• As the number of people flying kites increases, the number of people playing volleyball increases.

• As the number of people flying kites increases, the number of people playing volleyball decreases.

• There is no relationship between the variables.

Tags

CCSS.HSF-LE.A.1B

The scatter plot below shows the number of books read by students in Mrs. Hall’s English class and their final grades. Which statement represents the best description about the regression equation?

• The more books students read, the lower their English grade.

• The more books students read, the higher their English grade.

• The fewer books students read, the higher their English grade.

• No relationship exists between the number of books students read and their English grades.

Tags

CCSS.HSF.LE.B.5

Interpret the y - intercept for the linear regression equation

(predicted weight) = 100 + 40(age)

for the weight of rats in grams and age is in weeks.

• The y-intercept is 100 which means the rat is predicted to weigh about 100 grams at birth.

• The y-intercept is about 100, which means the rats gain about 100 grams a week.

• The y-intercept is 40 which means rats are predicted to weigh 40 grams at birth.

• The y-intercept is 40 which indicates that the rats grow about 40 grams per week.

Tags

CCSS.HSF.LE.B.5

Leslie cleans the barns for the horses. Her time spent cleaning can be modeled by the equation y = 15 x + 30, where x represents the number of stalls that contains horses. What is the meaning of the y-intercept?

• The time it takes to clean one horse

• the time it takes to clean one stall

• the time it takes to clean an empty barn

• the times it takes to clean each of the stalls with a horse

Tags

CCSS.HSF.LE.B.5

What is the correlation between length of running start and distance of jump?

• positive:  the further you run the further you jump
• negative: the less you run the less distance of your jump
• positive: the further your running start the less your distance

Tags

CCSS.HSF-LE.A.1B

Make a prediction for a resting heart rate after 6 hours of exercise a week.

• 6
• 50
• 55
• 59

Tags

CCSS.HSF.BF.A.2

Which scatter plot shows no relationship?

• Graph A
• Graph B
• Graph C
• Graph D

Tags

CCSS.8.EE.B.5