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 31 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 | 4,414.1682 | 797.4268 | |||
AgeMed | -25.674 | 12.4815 | |||
Bankrupt | 17.8059 | 12.3818 | |||
FedSpend | -0.0170 | 0.0193 | |||
HSGrad% | -30.1905 | 7.1988 | |||
(b-1) |
What is the critical value of Student's t in Appendix D for a two-tailed test at α = 0.01 with 31 d.f? (Round your answer to 3 decimal places.) |
t-value = |
(b-2) | Choose the correct option. | ||||||
|
a)
Predictor | Coefficient | SE | tcalc | p-value |
Intercept | 4,414.17 | 797.4268 | 5.5355 | 0 |
AgeMed | -25.674 | 12.4815 | -2.057 | 0 .048 |
Bankrupt | 17.8059 | 12.3818 | 1.4381 | 0.16 |
FedSpend | -0.017 | 0.0193 | -0.881 | 0.386 |
HSGrad% | -30.1905 | 7.1988 | -4.194 | 0 |
b)
t-critical = 3.022
Only HSGrad% differs significantly from zero
A regression model to predict Y, the state burglary rate per 100,000 people for 2005, used...
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 a = 0.01 with 33 d.f. (Negative values should be indicated by a minus...
A regression model to predict Y, the state-by-state 2005 burglary crime rate per 100,000 people, used the following four state predictors: X1 = median age in 2005, X2 = number of 2005 bankruptcies per 1,000 people, X3 = 2004 federal expenditures per capita, and X4 = 2005 high school graduation percentage. Predictor Coefficient Intercept 4,579.5465 AgeMed -27.292 Bankrupt 19.5612 FedSpend -0.0264 HSGrad% -27.5839 (a) Write the fitted regression equation. (Round your answers to 4 decimal places. Negative values should be...
A regression model to predict Y, the state-by-state 2005 burglary crime rate per 100,000 people, used the following four state predictors: X1 = median age in 2005, X2 = number of 2005 bankruptcies per 1,000 people, X3 = 2004 federal expenditures per capita, and X4 = 2005 high school graduation percentage. Predictor Coefficient Intercept 4,304.4610 AgeMed -26.903 Bankrupt 20.8921 FedSpend -0.0312 HSGrad% -29.1815 (a) Write the fitted regression equation. (Round your answers to 4 decimal...
Observations are taken on sales of a certain mountain bike in 21 sporting goods stores. The regression model was Y = total sales (thousands of dollars), X1 = display floor space (square meters), X2 = competitors' advertising expenditures (thousands of dollars), X3 = advertised price (dollars per unit). (a) Fill in the values in the table given here. (Negative values should be indicated by a minus sign. Leave no cells blank - be certain to enter "0" wherever required. Round...
Observations are taken on sales of a certain mountain bike in 30 sporting goods stores. The regression model was Y = total sales (thousands of dollars), X1 = display floor space (square meters), X2 = competitors' advertising expenditures (thousands of dollars), X3 = advertised price (dollars per unit). (a) Fill in the values in the table given here. (Negative values should be indicated by a minus sign. Leave no cells blank - be certain to enter "0" wherever required. Round...
Table 4 Regression Model Y = α X1 + β X2 Parameter Estimates Coefficient Standard Error Constant 12.924 4.425 X1 -3.682 2.630 X2 45.216 12.560 Analysis of Variance Source of Degrees Sum of Mean Variation of Freedom Squares Square F Regression XXX 4,853 2,426.5 XXX Error XXX 485.3 Find above partial statistical output...
Total blood volume (in ml) per body weight (in kg) is important in medical research. For healthy adults, the red blood cell volume mean is about μ = 28 ml/kg.† Red blood cell volume that is too low or too high can indicate a medical problem. Suppose that Roger has had seven blood tests, and the red blood cell volumes were as follows. 31 24 43 35 32 36 31 The sample mean is x ≈ 33.1 ml/kg. Let x...
Total blood volume (in ml) per body weight (in kg) is important in medical research. For healthy adults, the red blood cell volume mean is about μ = 28 ml/kg.† Red blood cell volume that is too low or too high can indicate a medical problem. Suppose that Roger has had seven blood tests, and the red blood cell volumes were as follows. 33 26 39 36 29 37 30 The sample mean is x ≈ 32.9 ml/kg. Let x...
The Student's t distribution table gives critical values for the Student's t distribution. Use an appropriate d.f. as the row header. For a right-tailed test, the column header is the value of α found in the one-tail area row. For a left-tailed test, the column header is the value of α found in the one-tail area row, but you must change the sign of the critical value t to −t. For a two-tailed test, the column header is the value...
Section 12.3 Multiple Linear Regression: Number ONE: Statistical software was used to fit the model E(y)Pox1 2x2 to n 20 data points. Complete parts a through h EEB Click the icon to see the software output. Data Table The regression equation is Y-1738.93 - 384.54x1 517.39x2 Predictor Constant X1 X2 Coef 1738.93 - 384.54 -517.39 SE Coef 369.06 101.65 - 3.78 0.002 353.04 - 1.47 0.162 4.71 0.000 s-172.003 R-sq-55.0% R-sq(adj):49.0% Analysis of Variance MS Source Regression Residual Error 17...