Statistics Fundamentals Unit 4 Milestone
You passed this Milestone
17 questions were answered correctly.
1 question was answered incorrectly.
1
Jesse takes two data points from the weight and feed cost data set to
calculate a slope, or average rate of change. A hamster weighs half a pound
and costs $2 per week to feed, while a Labrador Retriever weighs 62.5
pounds and costs $10 per week to feed.
Using weight as the explanatory variable, what is the slope of a line
between these two points? Answer choices are rounded to the
nearest hundredth.
$7.75 / lb.
$6.25 / lb.
$0.13 / lb.
$4.00 / lb.
RATIONALE
In order to get slope, we can use the formula: .
Using the information provided, the two points are: (0.5 lb., $2) and (62.5 lb., $10). We
can note that:
CONCEPT
, Linear Equation Algebra Review
2
A basketball player recorded the number of baskets he could make
depending on how far away he stood from the basketball net. The distance
from the net (in feet) is plotted against the number of baskets made as
shown below.
Using the best-fit line, approximately how many baskets can the
player make if he is standing ten feet from the net?
8 baskets
3 baskets
5 baskets
9 baskets
RATIONALE
To get a rough estimate of the number of baskets made when standing 10 feet from the
net, we go to the value of 10 on the horizontal axis and then see where it falls on the
best-fit line. This looks to be about 5 baskets.
CONCEPT
Best-Fit Line and Regression Line
3
This scatterplot shows the number of hours a student slept every night and
his or her grade point average.
, The equation for the least-squares regression line to this data is: ŷ = 0.375x
+ 1.33.
What is the predicted GPA for a student who sleeps 2.5 hours per
day? Answer choices are rounded to the hundredths place.
2.64
2.46
2.27
2.08
RATIONALE
In order to get the predicted GPA when the hours of sleep is equal to 2.5, we simply
substitute the value 2.5 in our equation for x. So we can note that:
CONCEPT
Predictions from Best-Fit Lines
4
A correlation coefficient between average temperature and ice
cream sales is most likely to be __________.
between 0 and –1
You passed this Milestone
17 questions were answered correctly.
1 question was answered incorrectly.
1
Jesse takes two data points from the weight and feed cost data set to
calculate a slope, or average rate of change. A hamster weighs half a pound
and costs $2 per week to feed, while a Labrador Retriever weighs 62.5
pounds and costs $10 per week to feed.
Using weight as the explanatory variable, what is the slope of a line
between these two points? Answer choices are rounded to the
nearest hundredth.
$7.75 / lb.
$6.25 / lb.
$0.13 / lb.
$4.00 / lb.
RATIONALE
In order to get slope, we can use the formula: .
Using the information provided, the two points are: (0.5 lb., $2) and (62.5 lb., $10). We
can note that:
CONCEPT
, Linear Equation Algebra Review
2
A basketball player recorded the number of baskets he could make
depending on how far away he stood from the basketball net. The distance
from the net (in feet) is plotted against the number of baskets made as
shown below.
Using the best-fit line, approximately how many baskets can the
player make if he is standing ten feet from the net?
8 baskets
3 baskets
5 baskets
9 baskets
RATIONALE
To get a rough estimate of the number of baskets made when standing 10 feet from the
net, we go to the value of 10 on the horizontal axis and then see where it falls on the
best-fit line. This looks to be about 5 baskets.
CONCEPT
Best-Fit Line and Regression Line
3
This scatterplot shows the number of hours a student slept every night and
his or her grade point average.
, The equation for the least-squares regression line to this data is: ŷ = 0.375x
+ 1.33.
What is the predicted GPA for a student who sleeps 2.5 hours per
day? Answer choices are rounded to the hundredths place.
2.64
2.46
2.27
2.08
RATIONALE
In order to get the predicted GPA when the hours of sleep is equal to 2.5, we simply
substitute the value 2.5 in our equation for x. So we can note that:
CONCEPT
Predictions from Best-Fit Lines
4
A correlation coefficient between average temperature and ice
cream sales is most likely to be __________.
between 0 and –1
