Linear Regression & Residuals

The linear model to represent the distance (in miles) traveled given the time (in hours) driving is 

 $m=-1.79+61.93h$ . Predict how far a person will travel driving 10 hours. 

• 617.51 miles

• 621.09 miles

• 100 miles

• 0.19 miles

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.SSE.A.1

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

CCSS.HSS.ID.C.7

The linear model to represent the distance (in miles) traveled given the time (in hours) driving is 

 $m=-1.79+61.93h$ . A person who traveled for 8 hours, went 443.65 miles.  What is the residual?

• 50 miles

• -50 miles

• 8 miles

• -25 miles

Tags

CCSS.HSA.SSE.A.1

When using midterm exam scores to predict a student's final grade in the class, the student would prefer to have

• positive residual, because that means the student's final grade is higher than we would predict with the model

• positive residual, because that means the student's final grade is lower than we would predict with the model

• residual equal to zero, because that means the student’s final grade is exactly what we would predict with the model

• negative residual, because that means the student’s final grade is higher than we would predict with the model

The linear model used to predict the distance traveled (in miles) given the time driven (in hours) is

 $d=-1.79+61.93h$ . Which of the following is the correct interpretation of the slope?

• We predict that for every mile driven, 61.93 hours has passed

• We predict that for every mile driven, 1.79 hours has passed

• We predict that for every hour driven, 1.79 miles is covered

• We predict that for every hour driven, 61.93 miles is covered

Tags

CCSS.HSS.ID.C.7

A study conducted to determine if one can predict the yield of a crop based on the amount of fertilizer applied to the soil. The response variable in this study is ...

• yield of the crop

• the experimeter

• amount of fertilizer applied to the soil

• the soil

Tags

CCSS.HSS.IC.B.3

CCSS.HSS.IC.B.5

CCSS.HSS.ID.B.6

CCSS.HSS.ID.C.7

CCSS.HSS.ID.C.8

A researcher wishes to determine whether the rate of water flow (in liters per second) over an experimental soil bed can be used to predict the amount of soil washed away (in kilogram). In this study, the explanatory variable is ...

• amount of eroded soil

• rate of water flow

• size of soil bed

• depth of soil bed

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSS.ID.C.7

If x is temperature and y is coffee sales, use the following linear model to determine the coffee sales in a 34° day.

 $y=6443-60x$  

• $8483

• $4403

• $4673

• $6443

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.B.3

What is the y-intercept in the following equation?

 $y=3+5x$  

• 5

• -5

• 3

• -3

Tags

CCSS.HSS.ID.C.7

Find the value of y when x = 12 in the given equation.

 $y=-2+\frac{1}{2}x$  

• 10

• 8

• 4

• 5

Tags

CCSS.HSA.REI.B.3

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

Write a linear model for the following situation. Your pizza costs $12 plus $0.50 per topping.

• $c=12+0.50t$

• $t=12+0.50c$

• $c=0.50+12t$

• $c=12-0.50t$

Tags

CCSS.HSA.CED.A.2

CCSS.HSF.BF.A.1

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2