
Functions and commands 165
Example:
LinRegrTMeanResp({1, 2, 3, 4}, {3, 2, 0, -2},
2.5, 0.95) returns {2.5, 0.95, 4.302..., 2,
0.75, 0.193..., −0.083, 1.583...}
LinRegrTPredInt The linear regression prediction interval for a future response.
Given a list of explanatory variable data (X), a list of response
variable data (Y), a future X-value, and a confidence level,
returns a list containing the following values in the order
shown:
• X: the given future X-value
• C: the given confidence level
• DF: the degrees of freedom
• Ŷ: the mean response for the given future X-value
• serr Ŷ: the standard error of the mean response
• Lower: the lower bound of the prediction interval for the
mean response
• Upper: the upper bound of the prediction interval for the
mean response
LinRegrTPredInt(List1, List2, X-value, C-
value)
Example:
LinRegrTPredInt({1, 2, 3, 4}, {3, 2, 0, -2},
2.5, 0.95) returns {2.5, 0.95, 4.302..., 2,
0.75, 0.433..., −1.113..., 2.613...}
LinRegrTTest The linear regression t-test. Given a list of explanatory
variable data (X), a list of response variable data (Y), and a
value for AltHyp, returns a list containing the following values
in the order shown:
• T: the t-value
• P: the probability associated with the t-value
• DF: the degrees of freedom
• β
0
: the y-intercept of the regression line
• β
1
: the slope of the regression line
• serrLine: the standard error of the regression line
• serrSlope: the standard error of the slope
• serrInter: the standard error of the y-intercept
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