A regression model to predict Y, the state burglary rate per 100,000 people for 2005, used the following four state predictors: X1 = median age in 2005, X2 = number of 2005 bankruptcies, X3 = 2004 federal expenditures per capita (a leading predictor), and X4 = 2005 high school graduation percentage. (a) Fill in the values in the table given here for a two-tailed test at α = 0.01 with 40 d.f. (Negative values should be indicated by a minus sign. Leave no cells blank - be certain to enter "0" wherever required. Round your t-values to 3 decimal places and p-values to 4 decimal places.) Predictor Coefficient SE tcalc p-value Intercept 4,641.0430 798.0634 AgeMed -28.863 12.4684 Bankrupt 20.1604 12.1079 FedSpend -0.0181 0.0181 HSGrad% -30.3196 7.1136 (b-1) What is the critical value of Student's t in Appendix D for a two-tailed test at α = .01 with 40 d.f? (Round your answer to 3 decimal places.) t-value = (b-2) Choose the correct option. Only HSGrad% differs significantly from zero. Only Bankrupt differs significantly from zero. Only FedSpend differs significantly from zero.
Correlation
Correlation defines a relationship between two independent variables. It tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.
Linear Correlation
A correlation is used to determine the relationships between numerical and categorical variables. In other words, it is an indicator of how things are connected to one another. The correlation analysis is the study of how variables are related.
Regression Analysis
Regression analysis is a statistical method in which it estimates the relationship between a dependent variable and one or more independent variable. In simple terms dependent variable is called as outcome variable and independent variable is called as predictors. Regression analysis is one of the methods to find the trends in data. The independent variable used in Regression analysis is named Predictor variable. It offers data of an associated dependent variable regarding a particular outcome.
A regression model to predict Y, the state burglary rate per 100,000 people for 2005, used the following four state predictors: X1 =
(a) Fill in the values in the table given here for a two-tailed test at α = 0.01 with 40 d.f. (Negative values should be indicated by a minus sign. Leave no cells blank - be certain to enter "0" wherever required. Round your t-values to 3 decimal places and p-values to 4 decimal places.)
| Predictor | Coefficient | SE | tcalc | p-value |
| Intercept | 4,641.0430 | 798.0634 | ||
| AgeMed | -28.863 | 12.4684 | ||
| Bankrupt | 20.1604 | 12.1079 | ||
| FedSpend | -0.0181 | 0.0181 | ||
| HSGrad% | -30.3196 | 7.1136 | ||
(b-1) What is the critical value of Student's t in Appendix D for a two-tailed test at α = .01 with 40 d.f? (Round your answer to 3 decimal places.)
t-value =
(b-2) Choose the correct option.
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Only HSGrad% differs significantly from zero.
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Only Bankrupt differs significantly from zero.
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Only FedSpend differs significantly from zero.
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