The data worksheet entitled "FUELCON4" contains the following variables for all 50 states plus the District of Columbia.

FUELCON (y): Per capita fuel consumption in gallons
DRIVERS (x1): The ratio of licensed drivers to private and commercial motor vehicles registered
HWYMILES (x2): The number of miles of federally funded highways
GASTAX (x3) : The tax per gallon of gasoline in cents
INCOME (x4): The average household income in dollars
Run the regression analysis with FUELCON as the dependent variable and the other four variables as independent variables and obtain the appropriate model diagnostic statistics: Use the Shapiro-Wilk teststatistic to test the assumption of the normality of the model residuals.

(a) What is being tested here? (Choose one)

The assumption of linearity. The assumption of normally-distributed disturbances. Whether there is a linear relationship between x and y. The assumption of constant variance. The assumption of independence. Whether all of the x variables are important in predicting y.

(b) Which hypotheses are being tested? (Choose one)

H0: β1 = 1.0
Ha: β1 ≠ 1.0H0: All of the x variables in the model are not important
Ha: Atleast one of the x variables is important H0: The model variance is constant
Ha: The model variance is not constantH0: Disturbances are normal
Ha: Disturbances are non-normalH0: β1 = 0
Ha: β1 ≠ 0

(c) State the decision rule.

Reject H0 if p < 0.10.
Do not reject H0 if p ≥ 0.10.Reject H0 if p > 0.10.
Do not reject H0 if p ≤ 0.10. Reject H0 if p < 0.05.
Do not reject H0 if p ≥ 0.05.Reject H0 if p > 0.05.
Do not reject H0 if p ≤ 0.05.

(d) What is the name of the test statistic? (Choose one)

Anderson-Darling's A2Shapiro-Wilk's W Test of Constant VarianceKolmogorov-Smirnov's DThe Partial F TestTest of Independence

(e) State the appropriate test statistic name, test statistic value, and the associated p-value (Enter the test statistic value to three decimal places, and the p-value to four decimal places).

---Select--- z A D F t W = , p ---Select--- < ≥ ≤ > =

(f) What conclusion can be drawn from the test result?

Do not reject H0.The assumption of normally-distributed disturbances has been met. Do not reject H0. The assumption of independence has been met. Reject H0. There is a linear relationship between x and y. Reject H0. The assumption of independence has not been met. Do not reject H0. There is not a linear relationship between x and y. Reject H0. The assumption of constant variance has not been met. Do not reject H0. The assumption of constant variance has been met. Reject H0. The assumption of normally-distributed disturbances has not been met.

FUELCON DRIVERS HWYMILES GASTAX INCOME
547.92 0.85 11,849 18 24426
440.38 0.81 4,532 8 30997
456.9 0.9 9,455 18 25479
530.08 1.07 7,949 21.7 22912
426.21 0.76 32,478 18 32678
474.78 0.71 11,015 22 32957
432.44 0.92 3,820 25 41930
492.97 0.88 1,260 23 32121
461.55 0.91 17,272 13.6 28493
564.82 0.81 16,950 7.5 28438
336.97 0.92 1,089 16 28554
484.83 0.69 6,466 25 24257
406.99 0.8 19,700 19 32755
524.01 0.74 10,261 15 27532
532.39 0.61 10,037 20 27283
483.31 0.81 10,494 21 28507
532.77 0.77 10,302 16.4 25057
513.8 0.77 8,954 20 24084
472.68 0.94 3,474 22 36385
463.46 0.89 6,387 23.5 34950
436.57 0.9 7,264 21 38845
504.95 0.84 16,942 19 29538
532.52 0.66 12,509 20 32791
541.06 0.97 8,747 18.4 21643
549.16 0.92 13,580 17 28029
549.35 0.68 10,456 27 23532
503.1 0.79 8,067 24.5 28564
448.81 1.13 5,976 24.75 29860
541.67 0.87 2,405 19.5 33928
465.52 0.89 9,150 10.5 38153
504.77 0.89 9,654 18.5 23162
296.44 1.1 18,998 22 35884
510.05 0.97 13,632 24.1 27418
580.32 0.66 7,415 21 25538
458.31 0.74 16,807 22 28619
523.89 0.68 11,123 17 24787
439.09 0.85 10,138 24 28000
417.36 0.87 18,448 26 30617
382.82 0.88 1,037 29 29984
557.53 0.92 9,272 16 24594
577.84 0.7 7,753 22 26301
506.3 0.83 12,036 20 26758
502.17 0.93 49,678 20 28486
430.53 0.87 7,310 24.5 24202
555.78 0.99 2,138 20 27992
529.52 0.81 14,453 17.5 32295
446.63 0.83 10,802 23 31582
466.31 0.94 5,390 25.65 22725
466.08 0.83 13,088 27.3 28911
715.55 0.67 7,841 14 28807
289.99 1.38 391 20 40498