a,) Computer output for fitting a simple linear model is given
below. State the value of the sample slope for the given model. In
testing if the slope in the population is different from zero,
identify the p-value and use it (and a 5% significance
level) to make a clear conclusion about the effectiveness of the
model.
Coefficients: | Estimate | Std.Error | t value | Pr(>|t|) |
---|---|---|---|---|
(Intercept) | 7.395 | 1.185 | 6.24 | 0.000 |
Dose | -0.4922 | 0.2781 | -1.77 | 0.087 |
Sample slope:
p-value:
Is the model effective?
b.) Computer output for fitting a simple linear model is given
below. State the value of the sample slope for the given model. In
testing if the slope in the population is different from zero,
identify the p-value and use it (and a 5% significance
level) to make a clear conclusion about the effectiveness of the
model.
Coefficients: | Estimate | Std.Error | t value | Pr(>|t|) |
---|---|---|---|---|
(Intercept) | 807.14 | 86.79 | 9.30 | 0.000 |
A | -3.602 | 1.181 | -3.05 | 0.006 |
Sample slope:
p-value:
Is the model effective?
c.) Find a 95% confidence interval for the slope of the model
below with n=30.
Coefficients: | Estimate | Std.Error | t value | Pr(>|t|) |
---|---|---|---|---|
(Intercept) | 7.454 | 1.195 | 6.24 | 0.000 |
Dose | -0.2165 | 0.1223 | -1.77 | 0.087 |
Round your answers to three decimal places.
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