The city council of Pine Bluffs is considering increasing the number of police in an effort to reduce crime. Before making a final decision, the council asks the Chief of Police to survey other cities of similar size to determine the relationship between the number of police and the number of crimes reported. The Chief gathered the following sample informaton

City Police Number of Crimes
Oxford 15 17
Starksville 17 13
Danville 25 5
Holgate 17 7
Carey 12 21
Whistler 11 19

a. If we want to estimate crimes on the basis of the number of police, which variable is the dependent variable and which is the independent variable
b. Draw a scatter diagram
c. Determine coefficient of correlation
d. determine the coefficient of determination
e. Interpret these statistical measures. Does it surprise you that the relationship is inverse?
f. Determine the regression equation
g. Estimate the number of crimes for a city with 20 police
h. Interpret the regression equation

Solution Summary

The solution provides step by step method for the calculation of correlation regression and determination . Formula for the calculation and Interpretations of the results are also included.

The test scores of 6 randomly picked students and the numbers of hours they prepared are as follows:
Hours: 5 10 4 6 10 9
Score: 64 86 69 86 59 87
The equation of the regression line is y(^on top)=1.06604x+67.3491. Find the coefficient of determination.

The coefficient of correlation was computed to be -0.60. This means
a. the coefficient of determination is .
b. as X increase Y decreases.
c. X and Y are both 0.
d. as X decreases Y decreases.
Which of the following is a stronger

The following regression equation was computed from a sample of 20 observations:
Y' = 15 - 5X
SSE was found to be 100 and SS total 400.
a) Determine the standard error of estimate.
b) Determine the coefficient of determination.
c) Determine the coefficient of correlation.

The following information regarding a dependent variable Y and an independent variable X is provided.
EX = 16 E (X - X)(Y - Y) = -8
EY = 28 E (X - X)2 = 8
n = 4 SST = 42
SSE = 34
The coefficient of determination is
A. 0.1905
B. -0.1905
C. 0.4364
D. -0.4364
The coefficient of correlatio

Given the following ANOVA table:
SOURCE DF SS MS F
Regression 1 1000.0 1000.00 26.00
Error 13 500.0 38.46
Total 14 1500.0
A. Determine the coefficient of determination.
B. Assuming a direct relationship between the variables, what is the

A sample of eight observations of variables x and y is shown below:
[see attachment]
The correlation of x and y is -0.991.
1) Calculate and interpret the coefficients of determination (R-squared xy and R-squared yx).
2) How is the value of the correlation coefficient affected in each of the following cases?
a) each

I need to figure out the regression equation, the value of Y when X is 7, the slope of the regression equation, the Y-intercept of the regression equation, the coefficient of correlation, and the coefficient of determination.