. The following sample observations were randomly selected.

X:53634468
Y:1315712131195

a. Determine the coefficient of correlation.
b. Determine the coefficient of determination.
c. Interpret the result.
. The following sample observations were randomly selected.

X:53634468
Y:1315712131195

a. Determine the coefficient of correlation.
b. Determine the coefficient of determination.
c. Interpret the result.
. The following sample observations were randomly selected.

X:53634468
Y:1315712131195

a. Determine the coefficient of correlation.
b. Determine the coefficient of determination.
c. Interpret the result.
XYXY

The 0.89 indicates a very strong negative relationship between X and Y.

b. The coefficient of determination is 0.7921, found by (0.89)2.

c. X accounts for 79 percent of the variation in Y.

2. Bi-lo Appliance Stores has outlets in several large metropolitan areas in New England. The general sales manager plans to air a commercial for a digital camera on selected local TV stations prior to a sale starting on Saturday and ending Sunday. She plans to get the information for Saturday-Sunday digital camera sales at the outlets and pair them with the number of times the advertisement was shown on the local TV stations. The purpose is to find whether there is any relationship between the number of times the advertisement was aired and digital camera sales. The pairings are: Location ofNumber ofSaturday-Sunday Sales

TV StationAirings($ thousands)

Providence415
Springfield28
New Haven521
Boston624
Hartford317
a. What is the dependent variable?
b. Draw a scatter diagram.
c. Determine the coefficient of correlation.
d. Determine the coefficient of...

...Answers to Midterm Test No. 1
1. Consider a regression model of relating Y (the dependent variable) to X (the independent
variable) Yi = (0 + (1Xi+ (i where (i is the stochastic or error term. Suppose that the
estimated regression equation is stated as Yi = (0 + (1Xi and ei is the residual error term.
A. What is ei and define it precisely. Explain how it is related to (i.
ei is the residual error term in the sample...

...LinearRegression deals with the numerical measures to express the relationship between two variables. Relationships between variables can either be strong or weak or even direct or inverse. A few examples may be the amount McDonald’s spends on advertising per month and the amount of total sales in a month. Additionally the amount of study time one puts toward this statistics in comparison to the grades they receive may be analyzed using the...

...REGRESSION ANALYSIS
Correlation only indicates the degree and direction of relationship between two variables. It does not, necessarily connote a cause-effect relationship. Even when there are grounds to believe the causal relationship exits, correlation does not tell us which variable is the cause and which, the effect. For example, the demand for a commodity and its price will generally be found to be correlated, but the question whether demand depends on price or...

...Simple LinearRegression in SPSS
1.
STAT 314
Ten Corvettes between 1 and 6 years old were randomly selected from last year’s sales records in Virginia Beach, Virginia. The following data were obtained, where x denotes age, in years, and y denotes sales price, in hundreds of dollars. x y a. b. c. d. e. f. g. h. i. j. k. l. m. 6 125 6 115 6 130 4 160 2 219 5 150 4 190 5 163 1 260 2 260
Graph the data in a scatterplot to determine if there is a possible...

...SECTION A (You should attempt all 10 questions)
A1. Regression analysis is ____________________________________.
A) describes the strength of this linear relationship.
B) describes the mathematical relationship between two variables.
C) describes the pattern of the data.
D) describes the characteristic of independent variable.
A2. __________________ is used to illustrate any relationship between two variables.
A) Histogram
B) Pie chart...

...these characteristics and modeled the relationship between them and the price of real estate for a specific area.
How are these characteristics used in determining the price? A model that is commonly used in real estate appraisal is the hedonic regression. This method is specific to breaking down items that are not homogenous commodities, to estimate value of its characteristics and ultimately determine a price based on the consumers’ willingness to pay. The approach in...

...Project 1: Linear Correlation and Regression Analysis
Gross Revenue and TV advertising:
Pfizer Inc, along with other pharmaceutical companies, has begun investing more promotion dollars into television advertising. Data collected over a two year period, shows the amount of money Pfizer spent on television advertising and the revenue generated, all on a monthly bases.
|Month |TV advertising |Gross Revenue |
|1 |17...

...the variables is 0, it means that the two variables aren’t related. – TRUE
2. In a simple regression analysis the error terms are assumed to be independent and normally distributed with zero mean and constant variance. – TRUE
3. The difference between the actual Y-value and the predicted Y-value found using a regression equation is called the residual (ε) – TRUE
4. In a multiple regression analysis with N observations and k independent...