A researcher records age in years (*) and systolic blood pressure (y) for volunteers. They perform a regression analysis was performed, and a portion of the computer output is as follows: ŷ 3.3 +12.7x = Coefficients (Intercept) x Estimate Std. Error Test statistic O Ho: B₁ = 0 Ha: B₁ 0 O Ho: B₁ = 0 Ha: B₁ <0 3.3 O Ho: B₁ = 0 Ha: B₁ > 0 12.7 2.2 6.4 1.5 1.98 P-value Specify the null and the alternative hypotheses that you would use in order to test whether a positive linear relationship exists between x and y. 0.08 0.03

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A researcher records age in years (x) and systolic blood pressure (y) for volunteers. They perform a
regression analysis was performed, and a portion of the computer output is as follows:
ŷ = 3.3 +12.7x
Coefficients
(Intercept)
X
Estimate Std. Error Test statistic
O Ho: B₁: = 0
Ha: B₁ 0
O Ho: B₁ = 0
Ha: B₁ < 0
3.3
O Ho: B₁ = 0
Ha: B₁ > 0
12.7
2.2
6.4
1.5
1.98
P-value
Specify the null and the alternative hypotheses that you would use in order to test whether a positive
linear relationship exists between x and y.
0.08
0.03
Transcribed Image Text:A researcher records age in years (x) and systolic blood pressure (y) for volunteers. They perform a regression analysis was performed, and a portion of the computer output is as follows: ŷ = 3.3 +12.7x Coefficients (Intercept) X Estimate Std. Error Test statistic O Ho: B₁: = 0 Ha: B₁ 0 O Ho: B₁ = 0 Ha: B₁ < 0 3.3 O Ho: B₁ = 0 Ha: B₁ > 0 12.7 2.2 6.4 1.5 1.98 P-value Specify the null and the alternative hypotheses that you would use in order to test whether a positive linear relationship exists between x and y. 0.08 0.03
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