Statistical Questioning
Favorite color is an example of this type of data.
What is categorical?
Will a scatterplot always match up perfectly with a given function's shape?
no
Will a best fit line always match up perfectly with its data?
no
In an experiment, a 6-sided die was rolled 100 times. The number 2 was rolled 24 times. This is the experimental probability of rolling a 2.
What is 24/100 / 0.24 / 24% ?
U <-- This is the name for the set that this symbol describes.
What is the union?
These are collected by quantitative/numerical data.
What are numbers/amounts?
On a scatterplot, the independent variable goes on which axis?
X
What are the possible values of r?
-1≤r≤1
This is the probability of a vowel(aeiou) being randomly selected in the phrase "This sentence has 32 characters."
Hint: Only the letters count(That statement is true if you count spaces and the period!).
What is 8/25 or 0.40 or 40% ?
On a six sided die, this is P(2 or 4). (This question is worth double!)
What is 2/6 or 0.333 or 33.3% ?
You want to know how many servings of strawberry ice cream a local ice cream shop sells in one day. This is the type of data you are collecting.
What is quantitative/numerical?
A point on a scatterplot that is significantly further than the other data points is called an ....
outlier
An r value of -0.234 indicates what type of relationship?
A weak, negative, linear association.
On a six sided die, this is the theoretical probability of rolling a 5.
What is 1/6 or 0.167 or 16.7% ?
A spinner has 3 red slices, 5 blue slices, and 2 yellow slices. This is the probability that the spinner lands on blue twice in a row. P(blue, blue)
What is 25/100 or 0.25 or 25% ?
Write an example of a statistical question the collects categorical data.
Answers will vary.
The distance each number on an axis is apart from each other is called its ...
scale
Find the correlation coefficient of the following set of data. Round to 3 decimal places.
(16,23) (17,20) (18,19) (20,15) (21,14) (22,14) (24,11)
r=-0.953
A spinner has 3 red slices, 5 blue slices, and 2 yellow slices. If we spin the spinner 100 times, this is the total amount of times it SHOULD land on red.(This question is worth double!)
What is 30?
In a standard deck of 52 cards, this is the probability of pulling a 4 card, putting it back, then pulling a queen. P(4, queen)
What is 16/2704(1/169)?
The question, "How many questions are on this test?" collects this type of data.
What is none?(It doesn't collect data!)
Let the temperature outside be the independent variable and daily revenue at an ice cream shop be the dependent variable. If you recorded each of these every day, what kind of correlation would you expect to see in the resulting scatterplot?
Positive
If r = 0.991, you can expect the average residual value to be close to what number?(A residual describes the "distance" a certain data points is to the line of best fit)
0
A spinner has 3 red slices, 5 blue slices, and 2 yellow slices. This is the probability that the spinner lands on a green slice.
What is 0?
A bag has 4 purple marbles, 7 green marbles, 1 yellow marble, 8 red marbles, and 5 blue marbles. Find the probability of pulling 2 red marbles if you don't replace them.
What is 56/600?