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Regression Correlation

Total questions: 16

Worksheet time: 13mins

Name
Class
Date
1.
Describe the correlation in the graph shown.
a)
Strong Negative
b)
Strong Positive
c)
Weak Negative
d)
Weak Positive
2.
Describe the correlation in the graph shown.
a)
Strong Negative
b)
Strong Positive
c)
Weak Negative
d)
Weak Positive
3.
Describe the correlation in the graph shown.
a)
No Correlation
b)
Strong Negative
c)
Weak Positive
d)
Weak Negative
4.
A correlation shows that two things are
a)
related
b)
causing each other
c)
unrelated
d)
causation
5.
Which is a NOT condition not needed for correlation
a)
Quantitative Variables
b)
Straight Enough
c)
Large Enough Sample
d)
Outliers?
6.
Some data were collected on the weight of a male while laboratory rat for the first 25 weeks after its birth. The linear regression equation is weight^=100 + 40(time). Which is the best description of the slope for this regression equation in context of the problem?
a)
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.
b)
The slope is 40 grams/week which means the mouse gains about 40 grams per week after birth.
c)
The slope is 40 and it means for every increase in weeks the graph will increase. 
d)
The slope is 40, which tells us the line increases. 
7.
Which is the best description of the y - intercept for the linear regression equation of the rats: weight^ = 100 + 40(time)?
a)
The y-intercept is 100 which means the rat is predicted to weigh 100 grams at birth. 
b)
The y-intercept is 100, which is where the graph crosses the y-axis. 
c)
100 is where the data starts on the y-axis. 
8.
Write the linear regression equation for the data set foot length (x) and height (y).
a)
y = 117.99 + 1.878x
b)
height^ = 28.39(foot length) + 1.155
c)
y = 1.878 + 117.99x
d)
height^ = 117.99 + 1.878(foot length)
9.
What is the correlation value?
a)
.209
b)
.457
c)
.13
d)
.361
10.
The points in the scatterplot represent paired observations (x, y) where x is an individual’s weight and y is the time (in seconds) it takes for walking on a treadmill to raise the individual’s pulse rate to 140 beats per minute.  The open circles correspond to females and the dark squares to males. 
a)
There is a positive correlation r between gender and weight, since men tend to weigh more than women. 
b)
There is a negative correlation r between weight and time for both males and females. 
c)
In general, males tend to take less time to have their pulse rate raised to 140 bpm while walking on the treadmill. 
11.
What is the slope of the LSRL from this printout?
a)
0.7407674
b)
23.591485
c)
0.02349
d)
1.098
12.
What should a residual plot look like?
a)
Distinct Pattern
b)
Curve
c)
Random
13.
How do you calculate a residual?
a)
Observed - Predicted
b)
Predicted - Observed
14.
Given the summary statistics below, determine the slope of the best fit line (Count is explanatory variable)
a)
.385
b)
1.84
c)
2.186
d)
4.282
15.
Interpret the slope of the Least Squares Line Equation.
a)
Income increases by 31.45 with each additional hour worked.
b)
Income increases by 31.45
c)
As hours increases by one, income will increase by 31.45, on average
d)
As hours increases by one, income will increase by 31.45
16.
Determine the income if 22 hours were worked on an assembly job.
a)
$207.30
b)
$449.60
c)
$691.90
d)
$543.30