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Decide, at the Given Significance Level, Whether the Data Provide x324y^=3+x\begin{array} { c | c c c c } \mathrm { x } & 3 & 2 & 4 \end{array} \quad \hat { y } = 3 + x

question 30

Essay

Decide, at the given significance level, whether the data provide sufficient evidence to conclude that x is useful forpredicting y.
-Decide, at the 10% significance level, whether the data provide sufficient evidence to conclude that x is a useful predictor of y. x324y^=3+x\begin{array} { c | c c c c } \mathrm { x } & 3 & 2 & 4 \end{array} \quad \hat { y } = 3 + x


Definitions:

Z-statistic

A statistical metric that measures the number of standard deviations a data point is from the mean, used in hypothesis testing.

Z-test

A statistical assessment employed to ascertain if there's a difference between the means of two populations when variances are recognized and the sample size is substantial.

µ = 145

A statement indicating that the mean (average) of a particular set of data or population is equal to 145.

Standard Error

The standard deviation of the sampling distribution of a statistic, typically the mean, reflecting the variation of the sampling statistic over different samples.

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