(c) Choose the appropriate hypotheses and decision rule for a right-tailed t test for zero slope at a = .05. tcalc < 1.697 a. He: B₁ ≤0 versus H₁: B₁>0. Reject the null hypothesis if b. He: B₁ ≤0 versus H₁: B₁ > 0. Reject the null hypothesis if tcalc > 1.697 O a Ob (d-1) Find the p-value and the t statistic for the slope. (Round your answers to 4 decimal places. Leave no cells blank- be certain to enter "0" whenever required.) t p-value (d-2) We reject the null hypothesis. O Yes O No

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter4: Equations Of Linear Functions
Section4.6: Regression And Median-fit Lines
Problem 17HP
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Question
A regression was performed using data on 32 NFL teams. The variables were Y = current value of team (millions of dollars) and X =
total debt held by the team owners (millions of dollars).
Variables
Intercept
Debt
9 =
Coefficients
557.4511
3.0047
picture Click here for the Excel Data File
(a) Write the fitted regression equation. (Round your answers to 4 decimal places.)
557.4511 +
Std. Error
25.3385
0.8820
3.0047 X
The 95% confidence interval is from
(b) Construct a 95% confidence interval for the slope. (Round your answers to 3 decimal places.)
1.276 to
4.733
Transcribed Image Text:A regression was performed using data on 32 NFL teams. The variables were Y = current value of team (millions of dollars) and X = total debt held by the team owners (millions of dollars). Variables Intercept Debt 9 = Coefficients 557.4511 3.0047 picture Click here for the Excel Data File (a) Write the fitted regression equation. (Round your answers to 4 decimal places.) 557.4511 + Std. Error 25.3385 0.8820 3.0047 X The 95% confidence interval is from (b) Construct a 95% confidence interval for the slope. (Round your answers to 3 decimal places.) 1.276 to 4.733
(c) Choose the appropriate hypotheses and decision rule for a right-tailed t test for zero slope at a = .05.
a. He: B₁ ≤0 versus H₁: B₁>0. Reject the null hypothesis if tcalc<1.697
b. He: B₁ ≤0 versus H₁: B₁ > 0. Reject the null hypothesis if tcalc > 1.697
O a
Ob
(d-1) Find the p-value and the t statistic for the slope. (Round your answers to 4 decimal places. Leave no cells blank- be certain to
enter "0" whenever required.)
p-value
(d-2) We reject the null hypothesis.
O Yes
O No
Transcribed Image Text:(c) Choose the appropriate hypotheses and decision rule for a right-tailed t test for zero slope at a = .05. a. He: B₁ ≤0 versus H₁: B₁>0. Reject the null hypothesis if tcalc<1.697 b. He: B₁ ≤0 versus H₁: B₁ > 0. Reject the null hypothesis if tcalc > 1.697 O a Ob (d-1) Find the p-value and the t statistic for the slope. (Round your answers to 4 decimal places. Leave no cells blank- be certain to enter "0" whenever required.) p-value (d-2) We reject the null hypothesis. O Yes O No
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