Consider the following data on x = weight (pounds) and y = price (S) for 10 road-racing bikes. Brand Weight Price ($) A 17.8 2,100 B 16.1 6,150 14.9 8,370 D 15.9 6,200 17.2 4,000 13.1 8,500 G 16.2 6,000 H 17.1 2,680 17.6 3,300 14.1 8,000 These data provided the estimated regression equation ý = 28,385 - 1,428x. For these data, SSE = 6,884,432.20 and SST = 51,242,800. Use the F test to determine whether the weight for a bike and the price are related at the 0.05 level of significance. State the null and alternative hypotheses. O Hg: Po = 0 H: 0 O Mo: P 20 H: 8, <0 O Ho: B 0 Hi B = 0 Find the value of the test statistic. (Round your answer to two decimal places.) Find the p-value. (Round your answer to three decimal places.) p-value = State your conclusion. O Reject Hg. We cannot conclude that the relationship between weight (pounds) and price ($) is significant. O Do not reject Hg. We cannot conclude that the relationship between weight (pounds) and price ($) is significant. O Reject Ha. We conclude that the relationship between weight (pounds) and price (s) is significant. O Do not reject Hg. We conclude that the relationship between weight (pounds) and price ($) is significant.
Consider the following data on x = weight (pounds) and y = price (S) for 10 road-racing bikes. Brand Weight Price ($) A 17.8 2,100 B 16.1 6,150 14.9 8,370 D 15.9 6,200 17.2 4,000 13.1 8,500 G 16.2 6,000 H 17.1 2,680 17.6 3,300 14.1 8,000 These data provided the estimated regression equation ý = 28,385 - 1,428x. For these data, SSE = 6,884,432.20 and SST = 51,242,800. Use the F test to determine whether the weight for a bike and the price are related at the 0.05 level of significance. State the null and alternative hypotheses. O Hg: Po = 0 H: 0 O Mo: P 20 H: 8, <0 O Ho: B 0 Hi B = 0 Find the value of the test statistic. (Round your answer to two decimal places.) Find the p-value. (Round your answer to three decimal places.) p-value = State your conclusion. O Reject Hg. We cannot conclude that the relationship between weight (pounds) and price ($) is significant. O Do not reject Hg. We cannot conclude that the relationship between weight (pounds) and price ($) is significant. O Reject Ha. We conclude that the relationship between weight (pounds) and price (s) is significant. O Do not reject Hg. We conclude that the relationship between weight (pounds) and price ($) is significant.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.2: Representing Data
Problem 22PFA
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Transcribed Image Text:14.
DETAILS
ASWSBE14 14.E.031.
MY NOTES
ASK YOUR TEACHER
PRACTICE ANOTHER
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
6,150
14.9
8,370
D
15.9
6,200
17.2
4,000
F
13.1
8,500
16.2
6,000
H
17.1
2,680
I
17.6
3,300
14.1
8,000
These data provided the estimated regression equation ý = 28,385 – 1,428x. For these data, SSE = 6,884,432.20 and SST = 51,242,800. 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.
O Ho: Bo = 0
H: Bo * 0
O Họ: Bo 0
H: Bo = 0
O Ho: B1 = 0
H: B = 0
O Ho: B1 20
H: B, < 0
O Ho: B1 0
H: B, = 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.
O Reject H,. We cannot conclude that the relationship between weight (pounds) and price ($) is significant.
O Do not reject Ho. We cannot conclude that the relationship between weight (pounds) and price ($) is significant.
O Reject Ho. We conclude that the relationship between weight (pounds) and price ($) is significant.
O Do not reject Ho. We conclude that the relationship between weight (pounds) and price ($) is significant.
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