You may need to use the appropriate technology to answer this question. Consider the following data on x = weight (pounds) and y = price ($) for 10 road-racing bikes. Brand Weight Price ($) A 17.8 2,100 B 16.1 6,350 C 14.9 8,370 D 15.9 6,200 E 17.2 4,000 F 13.1 8,700 G 16.2 6,000 H 17.1 2,580 I 17.6 3,400 J 14.1 8,000 These data provided the estimated regression equation ŷ = 28,800 − 1,452x. For these data, SSE = 7,059,472.68 and SST = 52,886,800. 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. H0: β0 = 0Ha: β0 ≠ 0H0: β0 ≠ 0Ha: β0 = 0 H0: β1 ≠ 0Ha: β1 = 0H0: β1 = 0Ha: β1 ≠ 0H0: β1 ≥ 0Ha: β1 < 0 Find the value of the test statistic. (Round your answer to two decimal places.) Find the p-value. (Round your answer to three decimal places.) p-value = State your conclusion. Do not reject H0. We conclude that the relationship between weight (pounds) and price ($) is significant.Reject H0. We conclude that the relationship between weight (pounds) and price ($) is significant. Do not reject H0. We cannot conclude that the relationship between weight (pounds) and price ($) is significant.Reject H0. We cannot conclude that the relationship between weight (pounds) and price ($) is significant.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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You may need to use the appropriate technology to answer this question.

Consider the following data on x = weight (pounds) and y = price ($) for 10 road-racing bikes.

Brand	Weight	Price ($)
A	17.8	2,100
B	16.1	6,350
C	14.9	8,370
D	15.9	6,200
E	17.2	4,000
F	13.1	8,700
G	16.2	6,000
H	17.1	2,580
I	17.6	3,400
J	14.1	8,000

These data provided the estimated regression equation

ŷ = 28,800 − 1,452x.

For these data, SSE = 7,059,472.68 and SST = 52,886,800. 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.

H₀: β₀ = 0
H_a: β₀ ≠ 0H₀: β₀ ≠ 0
H_a: β₀ = 0 H₀: β₁ ≠ 0
H_a: β₁ = 0H₀: β₁ = 0
H_a: β₁ ≠ 0H₀: β₁ ≥ 0
H_a: β₁ < 0

Find the value of the test statistic. (Round your answer to two decimal places.)

Find the p-value. (Round your answer to three decimal places.)

p-value =

State your conclusion.

Do not reject H₀. We conclude that the relationship between weight (pounds) and price ($) is significant.Reject H₀. We conclude that the relationship between weight (pounds) and price ($) is significant. Do not reject H₀. We cannot conclude that the relationship between weight (pounds) and price ($) is significant.Reject H₀. We cannot conclude that the relationship between weight (pounds) and price ($) is significant.

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