Slopes
Given scatterplot data points are uniformly distributed across all values of X without any discernible upward or downward trend, what could one predict regarding significance testing for regression model slope?
Calculations will undoubtedly determine precise numerical values predicting correlation coefficient significance notwithstanding scatter distribution patterns.
There will probably be strong significant indications proving existence of association between two variables observed.
It's unlikely significant evidence will be found against null hypothesis declaring no association between variables.
Predicting significance levels accurately without further statistical measures such as R-squared is impossible here.
In a t-test for slope, what is being tested?
The difference between sample mean and a value
The statistical significance of the slope
The value of the sample mean
A t-test for slope cannot test for anything on its own
When should you perform hypothesis testing for significance of the slope in linear regression?
Before collecting data points for your regression model
When you want to determine whether there's evidence of an association between two quantitative variables
When analyzing categorical data based on ANOVA methods
When evaluating causation from an observational study
What is the purpose of a t-test for the slope in a regression model?
To test the normality of the residuals
To test the statistical significance of the intercept
To test the statistical significance of the relationship between the independent and dependent variables
To test the sample size
When considering the slope parameter () in linear regression, what test statistic would we generally use?
F-statistic
z-statistic
chi-square statistic
t-statistic
When conducting a test about a population slope, what type of test do we typically use?
ANOVA test
z-test
t-test
chi-square test
In a t-test for the slope, what does it suggest if the t-statistic is not significantly different from zero?
The residuals are normally distributed
The sample size is too small to conduct the test
There is not a strong relationship between the variables, and the slope is likely equal to zero
There is a significant relationship between the variables, and the slope is not equal to zero

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What assumption underlies testing whether or not there is a significant linear relationship between two quantitative variables using a regression model?
Constant variance across the range of predictor values
No outliers in the data
Normal distribution of errors
Uniform distribution of errors
Which method of sampling involves selecting every nth individual from a list?
Stratified random sampling
Systematic sampling
Cluster sampling
Simple random sampling
What statistical test is commonly used to determine if there is evidence of a non-zero correlation between two continuous variables?
z-test
t-test
ANOVA
chi-square test