Question

Test the slope of the regression line for the following data. Use α=.01. x 140 120...

Test the slope of the regression line for the following data. Use α=.01.

x 140 120 103 92 62 30 24

y 24 29 45 70 88 112 128

(Do not round the intermediate values. Round your answer to 2 decimal places.)

Observed t =

Fail to reject null hypothesis or reject null hypothesis

Homework Answers

Answer #1

The statistical software output for this problem is :

Simple linear regression results:
Dependent Variable: y
Independent Variable: x
y = 144.42528 - 0.90188611 x
Sample size: 7
R (correlation coefficient) = -0.98684344
R-sq = 0.97385997
Estimate of error standard deviation: 7.1829277

Parameter estimates:

Parameter Estimate Std. Err. Alternative DF T-Stat P-value
Intercept 144.42528 6.0353558 ≠ 0 5 23.92987 <0.0001
Slope -0.90188611 0.066080224 ≠ 0 5 -13.648351 <0.0001

Observed t = -13.65

Critical value = 4.032

reject null hypothesis

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