You may need to use the appropriate technology to answer this question. Consider the following data on x = weight (pound
Posted: Wed May 11, 2022 2:41 pm
You may need to use the appropriate technology to answer this
question. Consider the following data on x = weight (pounds) and y
= price ($) for 10 road-racing bikes.
These data provided the estimated regression equation
ลท = 28,466 โ 1,432x.
For these data, SSE
= 7,141,227.05 and SST = 51,699,800. Use
the F test to determine whether the weight for a
bike and the price are related at the 0.05 level of
significance.
State the null and alternative hypotheses.
H0: ๐ฝ1 โ 0
Ha: ๐ฝ1 =
0H0: ๐ฝ0 = 0
Ha: ๐ฝ0 โ 0 H0: ๐ฝ1 โฅ 0
Ha: ๐ฝ1 <
0H0: ๐ฝ1 = 0
Ha: ๐ฝ1 โ 0H0: ๐ฝ0 โ 0
Ha: ๐ฝ0 = 0
Find the value of the test statistic. (Round your answer to two
decimal places.)
Find the p-value. (Round your answer to three
decimal places.)
p-value =
State your conclusion.
Reject H0. We conclude that the
relationship between weight (pounds) and price ($) is
significant.
Do not reject H0. We cannot conclude
that the relationship between weight (pounds) and price ($) is
significant.
Do not reject H0. We conclude
that the relationship between weight (pounds) and price ($) is
significant.
Reject H0. We cannot conclude that the
relationship between weight (pounds) and price ($) is
significant.
question. Consider the following data on x = weight (pounds) and y
= price ($) for 10 road-racing bikes.
These data provided the estimated regression equation
ลท = 28,466 โ 1,432x.
For these data, SSE
= 7,141,227.05 and SST = 51,699,800. 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: ๐ฝ1 โ 0
Ha: ๐ฝ1 =
0H0: ๐ฝ0 = 0
Ha: ๐ฝ0 โ 0 H0: ๐ฝ1 โฅ 0
Ha: ๐ฝ1 <
0H0: ๐ฝ1 = 0
Ha: ๐ฝ1 โ 0H0: ๐ฝ0 โ 0
Ha: ๐ฝ0 = 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.
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.
Do not reject H0. We 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.