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AP STATS Warm Up #7

Total questions: 5

Worksheet time: 1hrs 15mins

Name
Class
Date
1.

Clear-cut harvesting of wood from forests creates long periods of time when certain animals cannot use the forests as habitats. Partial-cut harvesting is increasingly used to lessen the effects of logging on the animals. The following scatterplot shows the relationship between the density of red squirrels, in squirrels per plot, 2 to 4 years after partial-cut harvesting, and the percent of trees that were harvested in each of 11 forests.

Which of the following is the best description of the relationship displayed in the scatterplot?

a)

Negative, linear, and strong

b)

Positive, linear, and weak

c)

Negative, nonlinear, and strong

d)

Positive, nonlinear, and weak

e)

Positive, nonlinear, and strong

2.

In a statistics course, a linear regression equation was computed to predict the final exam score from the score on the first test.

The equation was:  y = 10 + .9x 

where y is the predicted final exam  score and x is the score on the first test.

Which is the correct interpretation of the SLOPE?

a)

For every 1 point increase on the first test, the final exam score is predicted to increase by 10 pts.

b)

For every 1 point increase on the first test, the final exam score is predicted to increase by .9 pts.

c)

For every 1 point increase on the final exam, the first test score is predicted to decrease by 10 pts.

d)

For every 1 point increase on the final exam, the first test score is predicted to decrease by .9 pts.

3.

In a statistics course, a linear regression equation was computed to predict the final exam score from the score on the first test.

The equation was:  y = 10 + .9x 

where y is the predicted final exam  score and x is the score on the first test.

Which is the correct interpretation of the Y-INTERCEPT?

a)

If the first exam score is 0, it is predicted that the final exam grade would be a 10

b)

If the first exam score is 0, it is predicted that the final exam grade would be a 90

c)

If the first exam score is .9, it is predicted that the final exam grade would be a 10

d)

If the first exam score is 10, it is predicted that the final exam grade would be a .9

4.

In a statistics course, a linear regression equation was computed to predict the final exam score from the score on the first test.

The equation was:  y = 10 + .9x 

where y is the predicted final exam  score and x is the score on the first test.

Carla scored 95 on the first test. On the final exam,  ​Carla scored 98. What is the value of her residual?

a)

98 

b)

2.5 

c)

–2.5

d)

0 

e)

None of these

5.

A person travels by car.  They record their miles driven in a data table.  Calculate the linear regression equation of this data. Let the explanatory variable be driving time and the response variable be miles driven.

a)

y = -1.79 + 61.93x

b)

y = 61.93 - 1.79x

c)

y = 0.03 + 0.016x

d)

y = 0.016 + 0.03x