Slopes
What does the confidence level reflect in a confidence interval?
The standard error of the slope
The width of the confidence interval
The number of confidence intervals constructed
The percentage of confidence intervals that would contain the true value
Which type of sampling gives each member of the population an equal chance to be selected?
Judgemental sampling
Simple random sampling (SRS)
Quota sampling
Snowball sampling
Which term refers to the likelihood that a point estimate will fall within a given confidence interval?
Confidence level
Margin of error
Probability value
Sampling variability
If a 95% confidence interval for the slope of a regression line includes zero, what is the implication regarding the relationship between the explanatory and response variables?
There is not enough evidence to conclude that there is a significant relationship.
The variability in the data does not affect the slope estimate.
There is conclusive evidence of a strong positive relationship.
Zero falls outside the range of plausible values for the population slope.
What method involves choosing individuals who are easiest to reach or readily available?
Purposive sampling
Non-probability sampling
Voluntary response sampling
Convenience sampling
What variable represents the point estimate of the of a regression model?
b^3
b^2
(b-1)
b
How can we justify a claim about a linear regression model using a confidence interval?
By determining if 0 is contained in the interval
By computing the R-squared value
By finding the p-value
By comparing the slope to the mean value

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How do you interpret the meaning result where upper boundary 95% confidence interval for slope is 5 whilst lower boundary is -1 concerning estimated relationship between explanatory and response variable?
The most likely outcome is that there is no statistically significant linear trend since the interval includes 0.
There could be either positive or negative linear trend but no more than 5 nor less than -1 unit change in response variable per unit change in X-variable.
This indicates a strong positive trend with predicted increase of exactly five units in Y-response to every additional X-unit.
The slope is too small to note any practical significance hence no need to consider it in statistical modeling.
Suppose a 99% confidence interval for the slope of a regression model is (0.2, 0.8). What can we infer about the precision of the estimate?
The estimate is perfectly accurate
The estimate is moderately precise
The estimate is not precise
The estimate is very precise
What can be concluded about statistical significance if we compute exactly two non-overlapping 95% confidence intervals for slopes from independent samples assessing similar relationships?
At least one population slope differs significantly from zero but we cannot know which without further analysis or information.
Overlapping intervals indicate similar population parameters; non-overlap implies both are significant by themselves.
Both slopes are statistically significantly different from each other at an alpha level less than .05 since they do not overlap.
Neither slopes differ significantly from each other or from zero since they were calculated independently.