A, The following bivariate data set contains an outlier.

x	y
20.5	130.3
21.2	-367.7
22.3	1866.2
32.4	700.5
13.3	875.3
15.2	1361.5
40.6	-331.6
18.9	-490.4
28.4	370.9
34.5	3957.6
36.9	-1096.5
30	-608.5
44	2531.2
50.9	-223.4
163.7	19119.9

What is the correlation coefficient with the outlier? r_w = Correct [Round your answer to three decimal places.] What is the correlation coefficient without the outlier? r_wo = Incorrect [Round your answer to three decimal places.] Would inclusion of the outlier change the evidence for or against a linear correlation?

• No. Including the outlier does not change the evidence regarding a linear correlation.
• Yes. Including the outlier changes the evidence regarding a linear correlation.

B, Question for thought: Would you always draw the same conclusion with the addition of an outlier?

Here is data with as the response variable.

x	y
21.1	24
22.4	22.5
22.7	12.1
28.2	29.6
16.4	11.5
-24.9	9.5
21.4	17.5
17.5	7.5

1. Make a scatter plot of this data. Which point is an outlier? Enter as an ordered pair, e.g., (x,y). Correct
2. Find the regression equation for the data set withoutthe outlier.Enter the equation of the form rounded to three decimal places.
3. Find the regression equation for the data set withthe outlier. Enter the equation of the form rounded to three decimal places. Incorrect
4. Is this outlier an influential point?
   • Yes, the outlier appears to be an influential point.
   • No, the outlier does not appear to be an influential point.

C,An unknown metal has been found and the following experimental results have been tabulated in the table below. The table contains the grams of the unknown metal and the volume in milliliters of water displacement. Find a linear model that expressesvolume as a function of the mass.

grams	Volume in ml
17	155
19.5	177.8
22	200.6
24.5	214.6
27	246.2
29.5	261.1
32	286.1

A) Write the linear regression equation for the data in the chart. Volume where x is the grams of the unknown metal.Round your answers to 3 decimal places

B) If the mass of an unknown metal is 15, using yourun-rounded regression equation find its predicted volume. Round your answer to 1 decimal place.

Situation: The Ipod Touch has been out for two years now and a lot of data has been collected. Relevant Relationship: There is a functional relationship between Price of an IPod Touch, and Weekly Demand,. Below is a table of data that have been collected

Price,,($)	Weekly Demand,,(1,000s)
150	212
170	208
190	193
210	186
230	181
250	170

A.. Find the linear model that best fits this data using regression and enter the model below (for entry round the linear parameter value to nearest 0.01 and constant parameter to nearest 1) B. The squared correlation coefficient was Select an answer above below 0.95 (note: values less than 0.95 MAY mean the model is not appropriate for making predictions) Now answer these two questions using the UNROUNDED model parameters C. What does the model predict will be the weekly demand if the price of an ipod touch is $245 ? (nearest 100) D. According to the model at what should the price be set in order to have a weekly demand of 205,300 ipod Touches? $ (nearest $1) Note: In the "real" world Apple sold about 20 million Ipod Touch's from Sept. 2007-Sept. 2009 Answer