The Cadet is a popular model of sport utility vehicle, known for its relatively high resale value. For a random sample of 33 Cadets, each bought "new" two years ago and each sold "used" within the past month, the least-squares regression equation relating the two variables mileage (denoted by xr) and used selling price (denoted by y, in dollars) was information, test for a significant linear relationship between the two variables by doing a hypothesis test regarding the population slope B, (Assume that the 39.52-0.56x. The standard error of the slope of this least-squares regression line was approximately 0.43. Based on this variable y follows a normal distribution for each value of x and that the other regression assumptions are satisfied.) Use the 0.10 level of significance, and perform a two-tailed test. Then fill in the table below. 图 (If necessary, consult a list of formulas.) The null hypothesis: H : 0 The alternative hypothesis: H :0 OSO The type of test statistic: (Choose one) - The value of the test statistic: (Round to at least three decimal places.) The p-yalue: (Round to at least three decimal places.) 口口 ? 日 B.

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The Cadet is a popular model of sport utility vehicle, known for its relatively high resale value. For a random sample of 33 Cadets, each bought "new" two years
ago and each sold "used" within the past month, the least-squares regression equation relating the two variables mileage (denoted by x) and used selling price
(denoted by y, in dollars) was y = 39.52 – 0.56x . The standard error of the slope of this least-squares regression line was approximately 0.43. Based on this
information, test for a significant linear relationship between the two variables by doing a hypothesis test regarding the population slope B,. (Assume that the
variable y follows a normal distribution for each value of x and that the other regression assumptions are satisfied.) Use the 0.10 level of significance, and
perform a two-tailed test. Then fill in the table below.
(If necessary, consult a list of formulas.)
Aa
The null hypothesis:
H : 0
The alternative hypothesis:
H :]
O=0
OSO
The type of test statistic:
(Choose one) v
O<O
The value of the test statistic:
(Round to at least three
decimal places.)
The p-value:
(Round to at least three
decimal places.)
Check
Transcribed Image Text:The Cadet is a popular model of sport utility vehicle, known for its relatively high resale value. For a random sample of 33 Cadets, each bought "new" two years ago and each sold "used" within the past month, the least-squares regression equation relating the two variables mileage (denoted by x) and used selling price (denoted by y, in dollars) was y = 39.52 – 0.56x . The standard error of the slope of this least-squares regression line was approximately 0.43. Based on this information, test for a significant linear relationship between the two variables by doing a hypothesis test regarding the population slope B,. (Assume that the variable y follows a normal distribution for each value of x and that the other regression assumptions are satisfied.) Use the 0.10 level of significance, and perform a two-tailed test. Then fill in the table below. (If necessary, consult a list of formulas.) Aa The null hypothesis: H : 0 The alternative hypothesis: H :] O=0 OSO The type of test statistic: (Choose one) v O<O The value of the test statistic: (Round to at least three decimal places.) The p-value: (Round to at least three decimal places.) Check
The null hypothesis:
H,:0
The alternatIve hypothesis:
H, :0
D=D0
ロSロ
120
The type of test statistic:
(Choose one)
(Choose one)
ローロ
O<O
The value of the test statistic:
(Round to at least three
decimal places.)
Chi square
The p-value:
(Round to at least three
decimal places.)
Based on the information, can we conclude (using
the 0.10 level) that there is a significant linear
relationship between mileage and used selling price
for two-year-old Cadets?
O Yes
No
Transcribed Image Text:The null hypothesis: H,:0 The alternatIve hypothesis: H, :0 D=D0 ロSロ 120 The type of test statistic: (Choose one) (Choose one) ローロ O<O The value of the test statistic: (Round to at least three decimal places.) Chi square The p-value: (Round to at least three decimal places.) Based on the information, can we conclude (using the 0.10 level) that there is a significant linear relationship between mileage and used selling price for two-year-old Cadets? O Yes No
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