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WorksheetsIM 1 Ch 4 Closure
Total questions: 63
Worksheet time: 1hrs 3mins
Shown is a residual plot. How many positive residuals are there?
5
1
3
9
Which of these points appears to be an “Outlier?”
A
B
C
D
The linear model to represent the distance (in miles) traveled given the time (in hours) driving is
m=−1.79+61.93h . Predict how far a person will travel driving 10 hours.617.51 miles
621.09 miles
100 miles
0.19 miles
The linear model to represent the distance (in miles) traveled given the time (in hours) driving is
50 miles
-50 miles
8 miles
-25 miles
What is the correlation?
Negative correlation
No correlation
Positive correlation
Using the line of best fit, y=1.25x-110, predict how much granola a new "green" package that uses 300 square inches of cardboard is expected to hold.
A. Predicted value=
An actual value of a cardboard with 300 square inches holds 500 grams.
B. Calcualte the residual
A. 265
B. 230
A.260
B.240
A. 265
B.235
A. 250
B. 250
A residual is the vertical distance between a data point and a line of fit.
True
False
When using midterm exam scores to predict a student's final grade in the class, the student would prefer to have
positive residual, because that means the student's final grade is higher than we would predict with the model
positive residual, because that means the student's final grade is lower than we would predict with the model
residual equal to zero, because that means the student’s final grade is exactly what we would predict with the model
negative residual, because that means the student’s final grade is higher than we would predict with the model
If x is temperature and y is coffee sales, use the following linear model to determine the coffee sales in a 34° day.
y=6443−60x$8483
$4403
$4673
$6443
Write a linear model for the following situation. Your pizza costs $12 plus $0.50 per topping.
c=12+0.50t
t=12+0.50c
c=0.50+12t
c=12−0.50t
For the following pair of variables, what kind of association would you expect? Number of hockey games played in Minnesota during a week and sales of suntan lotion in Minnesota during that same week.
positive
negative
none
For the following pair of variables, what kind of association would you expect? Number of hours a person has been up past a normal bedtime and the number of minutes it takes the person to complete a crossword puzzle.
positive
negative
none
What type of correlation exists between the amount of time a candle is burned and the height of the candle.
Positive
Negative
None
A residual is the vertical distance between a data point and a line of fit.
True
False
to find the residual you subtract the...
observed value (data y value) - predicted value (line of best fit y value)
predicted value (line of best fit y value) - observed value (data y value)
if the residual is ZERO then the data point is ________ on the line of best fit
ON
BELOW
ABOVE
The residual is the distance from
the data point to the line of best fit
correlation coefficient and zero
zero
if the residual is POSITIVE then the data point is ________ on the line of best fit
ON
BELOW
ABOVE
if the residual is NEGATIVE then the data point is ________ on the line of best fit
ON
BELOW
ABOVE
If the SUM of ALL the residuals is ZERO then...
the line of best fit is most likely a good fit for the data
the line of best fit is most likely a bad fit for the data
this tells us nothing about the data
the closer the RESIDUAL is to ZERO the
closer the data point is to the line of best fit
further the data point is from the line of best fit
stronger the correlation
weaker the correlation
the closer the CORRELATION is to ZERO the
closer the data point is to the line of best fit
further the data point is from the line of best fit
stronger the correlation
weaker the correlation
Determine the correlation of the points on the scatterplot.
Positive Correlation
Negative Correlation
No Correlation
Zero Correlation
Determine the correlation of the points on the scatterplot.
Positive Correlation
Negative Correlation
No Correlation
Zero Correlation
If the correlation coefficient, r, of a data set is r = 0. 32. What type of correlation does the data have?
Strong Positive
Strong negative
Weak Postive
Weak Negative
No correlation
Estimate the correlation coefficient for this scatterplot.
A) r = 1.2
B) r = 0.89
C)r = 0
D) r = -0.89
Estimate the correlation coefficient for this scatterplot.
A) r = -0.9
B) r = 1
C) r = 0.9
D) r = -1
Estimate the correlation coefficient
r = 1
r = -1
r ≈ -0.8
r ≈ 0.8
r ≈ -0.5
Describe a correlation with a coefficient of r=0.3
Strong positive
Weak positive
Strong negative
Weak negative
Which scatter plot diagram shows the strongest positive correlation?
r = -0.3 is considered to have...
moderate negative correlation
weak negative correlation
no correlation
strong negative correlation
Is this line an accurate line estimate of best fit for the data?
Yes
No
Is this line an accurate line estimate of best fit for the data?
Yes
No
Choose the correlation coefficient that best matches the graph.
-1
0
0.5
1
Which line is the best line of best fit?
a
b
c
i don't see any lines
What are the coordinates of the outlier?
(1,9)
(9,1)
(2,2)
y=x
Which sentence describes the relationship shown on this scatter plot?
As the temperature decreases, the visitors increase.
As the temperature increases, the number of visitors increases.
As the visitors increase, the temperature decreases.
No correlation
Estimate the correlation coefficient for this scatterplot.
A) r = 1.2
B) r = 0.89
C)r = 0
D) r = -0.89
As x increases, y decreases.
A) no correlation
B) negative correlation
C) correlation coefficient
D) positive correlation
As x increases, y increases
A) correlation coefficient
B) causation
C) positive correlation
D) negative correlation
Number of steps taken per day and number of kilometers walked per day. r=.92
strong positive
strong negative
weak positive
weak negative
Temperature of a rubber band and distance the rubber band can stretch. r=.84
strong positive
strong negative
weak positive
weak negative
Car weight and distance traveled using a full tank of gas. r=−.86
strong positive
strong negative
weak positive
weak negative
Average fat intake per citizen of a country and average cancer rate of a country. r=.73
strong positive
strong negative
weak positive
weak negative
Score on science exam and number of words written on the essay question. r=.28
strong positive
strong negative
weak positive
weak negative
Average time spent listening to music per day and average time spent watching TV per day. r=−.17
strong positive
strong negative
weak positive
weak negative
How many points have a postive residual?
7
6
5
4
How many points have a negative residual?
9
7
8
6
How many points have a zero residual?
1
14
0
4
Residual of point H?
5
-5
1
-1
Residual of point B?
7
5
-6
6
