Statistics : Coin Flips and Scatter Diagram (Scatter-Plot)

12. 10 homeowners were randomly selected from the population of homeowners in Charlotte. The table below shows the tax value and 2005 gross income for each homeowner, both in 1 000s of $. Draw a scatter diagram for this sample.
tax value
[TABLE]
13. If a fair coin is tossed 5 times, what is the probability that it will land heads up all 5 times?

14. If a biased coin, with p(Heads) = .6 is tossed 10 times.
(a) What is the probability it will land heads up 7 out of those 10 times?
(b) What is the probability it will land tails up 7 out of 10 times?

15. In a state of West Dakota, automobile license plates consist of any 3 capital letters of the alphabet followed by any 3 digits 0? 9. How many different license plates can West Dakota issue?
16. If a card is drawn randomly from a standard playing deck.
(a) What is the probability that it is a red card?
(b) What is the probability that it is a face card (J, Q, K) given that it is a heart?
(c) What is the probability that it is a heart given that it is a face card?
(d) What is the probability that it is a queen given that it is a face card?
(e) What is the probability that it is a face card given that it is a queen?
17. How many different ways to arrange 8 people in a photograph so that the 3 short people are in the front row and the 5 tall people are in the back row?

Given the following data, 1) how do you make Excel create a scatterdiagram for you? 2) If you were to draw a line through the points, how straight would the line be? 3) What is the coefficient of determination - r2 for this data, and more importantly, 4) what does it mean?
# Employees # Orders received
1 1

Height Head circumference
27.25 17.4
25 17.2
26.75 17.3
25 17
28 17.6
26.25 17.2
25.75 17.1
27 17.3
If a Doctor wants to use height to predict head circumference which variable is the explanatory variable and which

See attached file.
Use the instructions on the first tab to complete.
Use Literacy as the Independent variable (x) and Life Expenctancy as the Dependent variables (y)
Use a scatterplot - may use Chart or MegaStat Scatterplot
Chart:
Select both columns of data
Insert Chart - pick (x,y) sc

6. Use the following data to draw a scatter-plot and estimate a correlation coefficient.
Subject X Y
1 1 8
2 2 7
3 5 5
4 2 4
5 6 5
6 1 3
7 5 4
8 5 8
9 6 7

Below are four bivariate data sets and the scatter plot for each. (Note that each scatter plot is displayed on the same scale.) Each data set is made up of sample values drawn from a population. Please see the attachment.

3) Display the data in scatter plot. Calculate the linear correlation coefficient. Use the scatterplot to make a conclusion about
the type of correlation. x: 0 1 2 3 4
y: 0.5 3 2 4 3.5
find the correlation coefficient.
Choose the statement suggested by the scatter plot and the correlation coef

Given the following data, create a scatterdiagram (using Excel), click on the points as demonstrated in the Excel workbook, and have Excel place the regression equation and coefficient of correlation on the graph for you. Interpret the results (in English).
Years of Education Annual Income (000's)
6