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Regression Lines and Correlation

Total questions: 15

Worksheet time: 1hrs 22mins

Name
Class
Date
1.

Is this a positive, negative, or no relationship?

a)

positive relationship

b)

negative relationship

c)

no relationship

2.

Is this a positive, negative, or no relationship?

a)

positive relationship

b)

negative relationship

c)

no relationship

3.

Is this a positive, negative, or no relatioship?

a)

Positive relationship

b)

Negative relationship

c)

No relationship

4.

Is r = -0.87 strong, moderate, or weak?

a)

strong

b)

moderate

c)

weak

5.

A positive relationship (correlation coefficient) means...

a)

variables have the same behavior (both up or both down)

b)

variables have opposite behavior (one up, one down)

c)

the variables are happy :)

d)

the variables are sad :(

6.

What is the linear regression formula?

a)

y=mx+b

b)

y=ax+b

c)

y=a+bx

7.

Use your calculator to compute the least-squares regression line for the following data:

x: 3.9, 5.8, 4.8, 3.3, 1.8, 3.4, 3.2

y: 4.6, 4.1, 5.2, 4.5, 9.2, 5.6, 4.3

a)

y = -0.97x+8.99

b)

y = 0.97x-8.99

c)

y = -62x+6443

d)

= 62x-6443

8.

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

a)

$4584

b)

$4673

c)

$8303

9.

How do you find the residual?

a)

predicted value - actual value

b)

actual value - predicted value

c)

what values are you talking about?

10.
Data was collected on the weight of a male  laboratory rat for the first 25 weeks after its birth. The linear regression equation is 
y= 40x+100, where x is number of weeks and y is weight in grams. 
What does the y-intercept mean in context of the problem?
a)
The predicted weight of the rat in year 0. 
b)
The predicted weight of the rat at birth. 
c)
The current weight of the rat. 
d)
The average increase in the rat's weight. 
11.
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.
a)
10 miles
b)
617.5 miles
c)
0.19 miles
d)
500 miles
12.
The linear regression equation is y = 61.93x - 1.79.  According to the model, the slope can be interpreted as:
a)
After 0 hours of driving, they went 61.93 miles.
b)
They drove at a speed of 61.93 miles per hour.
c)
They drove 61.93 miles total.
d)
They drove 61.93 hours total.
13.
A restaurant sells pizza for the prices in the data table.  Calculate the linear regression equation of the data.
a)
y = 1.5x + 12
b)
y = 12x + 1.5
c)
y = 0.67x - 8
d)
y = -8x + 0.67
14.
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. 
a)
12 chapters
b)
15 chapters
c)
18 chapters
d)
21 chapters
15.

The annual profits for a company are given in the following table, where x represents the number of years since 1992, and y represents the profit in thousands of dollars. Write the linear regression equation that represents this set of data, rounding all coefficients to the nearest hundredth. Using this equation, estimate the year in which the profits would reach 378 thousand dollars.

a)

2029

b)

2014

c)

2003

d)

8753