racing bikes. Brand Weight Price ($) A 17.8 2,100 B 16.1 6,350 14.9 8,370 15.9 6,200 17.2 4,000 F 13.1 8,600 16.2 6,000 H 17.1 2,680 17.6 3,400 14.1 8,000 ese data provided the estimated regression equation ý = 28,506 - 1,433x. For these data, SSE = 7,009,621.71 and SST = 51,682,800. Use the F test to determine whether the weight for a bike and the price are related at the 0.05 level of significa te the null and alternative hypotheses. O Hoi Bq = 0 H: B, = 0 O Hoi Bo = 0 H: Bo = 0 H: Bo = 0 Hi Bq < 0 d the value of the test statistic. (Round your answer to two decimal places.)

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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
14.9
8,370
15.9
6,200
17.2
4,000
F
13.1
8,600
G
16.2
6,000
17.1
2,680
I
17.6
3,400
14.1
8,000
These data provided the estimated regression equation ý = 28,506 - 1,433x. For these data, SSE = 7,009,621.71 and SST = 51,682,800. 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: B, = 0
H3: B1 = 0
O Hoi B1# 0
H3: B1 = 0
O Ho: Bo = 0
H: Bo = 0
O Ho: Bo *0
H: Bo = 0
O Ho: B120
H: B, < 0
Find the value of the test statistic. (Round your answer to two decimal places.)
Transcribed Image Text: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 14.9 8,370 15.9 6,200 17.2 4,000 F 13.1 8,600 G 16.2 6,000 17.1 2,680 I 17.6 3,400 14.1 8,000 These data provided the estimated regression equation ý = 28,506 - 1,433x. For these data, SSE = 7,009,621.71 and SST = 51,682,800. 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: B, = 0 H3: B1 = 0 O Hoi B1# 0 H3: B1 = 0 O Ho: Bo = 0 H: Bo = 0 O Ho: Bo *0 H: Bo = 0 O Ho: B120 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 Do not reject Ho. We cannot 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.
O Reject Ho. We conclude that the relationship between weight (pounds) and price ($) is significant.
O Reject Ho. We cannot conclude that the relationship between weight (pounds) and price ($) is significant.
Transcribed Image Text:Find the p-value. (Round your answer to three decimal places.) p-value = State your conclusion. O Do not reject Ho. We cannot 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. O Reject Ho. We conclude that the relationship between weight (pounds) and price ($) is significant. O Reject Ho. We cannot conclude that the relationship between weight (pounds) and price ($) is significant.
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