After calculating the linear correlation coefficient, in order to interpret r you must fing the p-value from table A-6. If r exceeds the value from table A-6 then there is a linear correlaton.
What is Interpreting R or R.
100
Find the corresponding critical values. Asuming a significace level of alpha= .05, do you conclude that there is no significant linear correlation or do you conclude that there is a significant linear correlation?
a. n=20, r= .502
There is a linear correlation.
100
Use the data given to find the regression line.
x: 1,3,3,4,5,5
y: 5,3,2,2,0,1
Yhat = -1.09x+5.97
100
Find the coefficient of determination given r= .333
What is .111
100
Find the the predicted calculus grade if the score on the algebra pre-test (x1) is 24 and the high school rank is 92nd percentile.
Yhat= 34.8+1.21x1+.23x2
What is 85
200
Algerbraically describes the relationship between two variables x and y. yhat=bsub0 + bsub1x
What is Regression Equation.
200
The paired data belpw consist of weights (in pounds) or discarded paper and sizes of households.
x:paper: 2.41/7.57/9.55/8.82/8.72/6.96/6.83/11.42
y: household size: 2/3/3/6/4/2/1/5
Use the data to test the claim that there is a linear correlation to a .05 significance level.
There is not enough evidence to support the claim (TS: .630 and CV: .707).
200
Use the given data to find the regression line.
x: 0,3,4,5,9,12,15,15,17,20
y: 1,7,9,11,19,24,31,31,35,41
Yhat= 2.00x+.948
200
Find the total variation for this data set.
x: 1,2,3,5,6
y: 5,8,11,17,20
What is 154.8
200
This determines if your prediction/ yhat equation is usable.
What is p-value.
300
Amount f the variation in y that is explained by the regression line.
What is Coeffcient of Determination
300
For randomly selected homes recently sold in Dutchess County, New York, the living areas (in hundreds of square feet) are listed along with the annual tax amounts (in thousands of dollars).
Living Area: 15/38/23/16/16/13/20/24
Taxes: 1.9/3.0/1.4/1.4/1.5/1.8/2.4/4.0
Use the data to test the claim that there is a linear correlation to a .05 significance level.
There is not sufficient evidence to support the claim. (TS: .572 and CV: .707)
Find standard error estimate for this set of data.
x: 1,2,3,5,6
y: 5,8,11,17,20
What is 0
300
Which is a better indicator: r^2= 76 or r^2adj= 80
What is r^2 adjusted.
400
A dichotomous variable with the two possibe values of 0 and 1.
What is Dummy Variable.
400
The following table lists per capta cigarette consumption in the US for various years, along the percentage (in percentage points) of the population admitted to mental institutions as psychiatric cases.
Cigarette Consumption: 3522/3597/4171/4258/3993/3971/4042/4053
Psychiatric Admissions:
.20/.22/.23/.29/.31/.33/.33/.32
Use the data to test the claim that there is a linear correlation to a .05 significance level.
There is not sufficient evidence. (CV: .707 TS: .600)
400
Find the best predicted value of CO given that the HC amount is .75g/m.
HC: .65/.55/.72/.83/.57/.51/.43/.37
CO: 14.7/12.3/14.6/15.1/5.0/4.1/3.8/4.1
What is 14.355
400
Find the unexplained variance for this set of data.
Temperature: -62/-41/-36/-26/-33/-56/-50/-66
Snow Depth: 21/13/12/3/6/22/14/19
What is 46.69
400
Would you use an equation with a p-value of .750?
What is no it is too high.
500
If the dummy variable is the response (y) variable, we cannot use the methods of this section, and we should use a different method known as . . .
What is Logistic Regression.
500
Find the values of n, Ex, Ex^2, (Ex)^2, and Exy.
x: 1,1,2,3
y: 1,5,4,2
7, 9, 31, 81, 47
500
Find the best predicted percentage of psychiatric admissions given per capita cigarette consumption of 3650.
Cigarette Consumption: 3522/3597/4171/4258/3993/3971/4042/4053
Psychiatric Admissions:
.20/.22/.23/.29/.31/.33/.33/.32
What is 4525.79
500
For x= -50C find y hat.
Temperature: -62/-41/-36/-26/-33/-56/-50/-66
Snow Depth: 21/13/12/3/6/22/14/19
Regression Line: -6.4922-.437735x
What is 15.39153
500
What is the regression equation for the following lists of data?
A: 1/2/5/6
B: 9/7/3/2
C: 4/0/2/6