Free Printable Regressions and Correlations

1.

Which of the following best describes this correlation?

a)

Positive, Strong

b)

Negative Strong

c)

Positive Weak

d)

Negative Weak

2.

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)

100

b)

730.15

c)

617.5

d)

500

3.

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.

SHOW ANSWER

4.

Approximate the correlation of the scatter plot.

a)

r = 0

b)

r = 0.4

c)

r = -0.4

d)

r = 0.7

5.

Which of the following is the formula for a regression.

a)

y = mx + b

b)

r²

c)

Observation - Prediction

d)

m = (r x S_y) / S_x

6.

Which of the following variables is used to represent the correlation?

a)

C

b)

n

c)

S_x

d)

r

7.

What is the direction of the scatter plot?

a)

Positive Association

b)

Negative Association

c)

None

d)

Linear

8.

Which of the following is the formula for finding the residual?

a)

predicted y- observed y

b)

observed y- predicted x

c)

predicted x - observed x

d)

observed y - predicted y

9.

A line of regression has the formula:

y = 2.5x + 5.

Find the residual of the point (4 , 8).

a)

7

b)

-7

c)

17

d)

-17

10.

The residual for a point is found to be 1.38. Is this an under-prediction, or over-prediction?

a)

Over-prediction

b)

Under-prediction

c)

Neither

d)

Impossible to Solve

11.

r = 0.47. What is the strength of the correlation?

a)

Strong

b)

Weak

c)

Moderate

d)

None

12.

r = 0.599. What is the strength of the correlation?

a)

Strong

b)

Weak

c)

Moderate

d)

None

13.

The x variable is called the:

a)

Average of x

b)

The standard deviation of x

c)

The explanatory variable

d)

The response variable

14.

$m=\frac{r\times Sy}{S_x}\ \ \ ,\ \ b=-\left[m\times\overline{x}\right]+\overline{y}$
If $r=0.89\ \ ,\ \overline{x}=15\ \ \ ,\ \ \overline{y}=5\$
$S_x=10.2\ \ \ ,\ \ S_y=2.3$
Find the regression formula.

a)

y = 3.9x - 53.5

b)

y = 0.2x + 2

c)

y = 0.2x + 8

d)

y = 3.9x + 53.5

15.

What does r² tell us?

a)

How big the correlation is

b)

How strong the correlation is

c)

How much the x variable affects the y variable

d)

How much the y variable affects the x variable

Regressions and Correlations

Total questions: 15

Worksheet time: 23mins

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