Quiz about Correlation and Regression

Question 1

Describe the correlation in the graph shown.

Accepted Answer

Strong Positive

Answer

Strong Negative

Answer

Weak Negative

Answer

Weak Positive

Question 2

Describe the correlation in the graph shown.

Accepted Answer

No Correlation

Answer

Strong Negative

Answer

Strong Positive

Answer

Weak Negative

Question 3

Describe the correlation in the graph shown.

Accepted Answer

Strong Negative

Answer

Strong Positive

Answer

Weak Negative

Answer

Weak Positive

Question 4

A correlation shows that two things are

Accepted Answer

Answer

causing each other

Answer

unrelated

Answer

best friends

Question 5

You are analyzing a scatter plot that has a negative correlation. What is true of the of the x and y values?

Accepted Answer

As x increases, y decreases

Answer

As x increases, y increases

Answer

As x decreases, y decreases

Question 6

What type of correlation describes the following sentence:
The temperature outside and the number of hot chocolate sold at a football game.

Accepted Answer

negative

Answer

postive

Answer

no correlation

Question 7

What would the correlation be between math grades and the time it takes to run a mile ?

Accepted Answer

No Correlation

Answer

Postive Correlation

Answer

Negative Correlation

Answer

Cannot Be Determined

Question 8

The table shown is comparing a person's foot length to their height in cm. Calculate a line of best fit.

Accepted Answer

y = 25.05 + 5.57x

Answer

y = 5.57 + 25.05x

Answer

y = -5.57 + 25.05x

Answer

y = 5.57 - 25.05x

Question 9

What type of correlation (association)?
The outside temperature and the amount of layers you wear.

Accepted Answer

Negative correlation

Answer

Positive correlation

Answer

No correlation

Question 10

Some data were collected on the weight of a male white laboratory rat for the first 25 weeks after its birth. The linear regression equation is (predicted weight)=100 + 40(time). Which is the best description of the slope for this regression equation in context of the problem?

Accepted Answer

The slope is 40 grams/week which means the mouse is predicted to gain about 40 grams per week after birth.

Answer

The slope of the line of regression is the time since birth of the rate. It demonstrates the predicted weight of a laboratory rate after so many months since birth.

Answer

The slope is 40 and it means every 40 weeks, the mouse is predicted to gain a gram.

Answer

The slope is 40, which tells us the line increases.

Question 11

Interpret the slope of the Least Squares Line Equation.

Accepted Answer

As hours increases by one, income will increase by 31.45, on average

Answer

Income increases by 31.45 with each additional hour worked.

Answer

Income increases by 31.45

Answer

As hours increases by one, income will increase by 31.45

Question 12

Determine the predicted income if 22 hours were worked on an assembly job.

Accepted Answer

$449.60

Answer

$207.30

Answer

$691.90

Answer

$543.30

Question 13

What would the correlation between elevation and temperature be?

Accepted Answer

negative correlation

Answer

none

Answer

cannot be determined

Answer

positive correlation

Question 14

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.

Accepted Answer

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

Answer

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

Answer

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

Answer

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

Question 15

The correlation coefficient of this graph is closest to:

Accepted Answer

0.97

Answer

0.75

Answer

-0.98

Answer

0.48

Question 16

Determine the correlation coefficient of the given data.

Accepted Answer

- .9463

Answer

- .5477

Answer

.1770

Answer

.8956

Question 17

Find the equation of the line of best fit for this table.

Accepted Answer

y = 4.64x + 7.79

Answer

y = 7.79x + 4.64

Answer

y = 0.98x + 0.99

Answer

y = 4.64x + 0.99

Question 18

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?

Accepted Answer

the time it takes to clean an empty barn

Answer

The time it takes to clean one horse

Answer

the time it takes to clean one stall

Answer

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

Question 19

The equation y-hat = 7 - 2x 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?

Accepted Answer

For each hour of mowing, the mower is predicted to use 2 gallons.

Answer

the predicted amount of gas the lawnmower can hold is 2 gallons

Answer

For every two hours of mowing, the mower is predicted to use 7 gallons.

Answer

The predicted amount of gas remaining after 1 hour is 2 gallons.

Question 20

What type of correlation do you think there is between:
Weight of a car and the amount of fuel it requires to drive 10 miles.

Accepted Answer

Positive

Answer

Negative

Answer

NONE

Answer

Not enough information

Question 21

Rank these scatter plots according to the intensity of the correlation represented, from weakest to strongest.

Accepted Answer

1, 3, 4, 2

Answer

1, 2, 3, 4

Answer

2, 4, 3, 1

Answer

4, 3, 2, 1

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