Question

please hurry. timed test

Consider the following data on xweight (pounds) and y price ($) for 10 road-racing bikes Weight Price ($) Brand 17.8 2,100 A B 6,150 16.1 C 8,370 14.9 15.9 6,200 E 17.2 4,000 F 13.1 8,700 16.2 6,000 17.1 2.480 H 17.6 3,300 14.1 8,000 These data provided the estimated regression equation-28,974-1,465x. For these data, SSE 6,977,510.40 and SST-53,650.800. Use the F test to determine whether the weight for a bike and the price are related at the 0.05 level of significance. State the null and alternative hypotheses H,20

Answer 1

SUMMARY OUTPUT
Regression Statistics
Multiple R	0.932709
R Square	0.869946
Adjusted R Square	0.853689
Standard Error	933.9105
Observations	10
ANOVA
	df	SS	MS	F	Significance F
Regression	1	46673290	46673290	53.51282845	8.27E-05
Residual	8	6977510	872188.8
Total	9	53650800
	Coefficients	Standard Error	t Stat	P-value	Lower 95%	Upper 95%
Intercept	28973.61	3218.339	9.002659	1.8491E-05	21552.1	36395.11
x	-1465.23	200.2975	-7.31525	8.26612E-05	-1927.11	-1003.34

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$H_{0}:\beta_1=0$

$H_{1}:\beta_1\neq0$

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Test stats = -7.32

P-value = 0.000

Conclusion: Reject Ho .... (third option)