A researcher conducts a study to determine if students with high verbal intelligence scores also tend to have high mathematical intelligence scores. Why is this research considered a study of a non-causal statistical relationship?

A psychologist is investigating the relationship between verbal intelligence and mathematical intelligence using a non-experimental design. Match each aspect of this research process with the reason it characterizes a non-causal statistical relationship study.

Arrange the logical steps a researcher must follow to analyze and categorize the relationship between verbal and mathematical intelligence as a non-causal statistical relationship.

A researcher discovers a strong statistical correlation between verbal intelligence and mathematical intelligence ($r = .70$). The researcher concludes: 'Since these forms of intelligence are significantly related, we can be confident that focused vocabulary training will directly lead to higher scores on calculus exams.' This conclusion represents a valid scientific evaluation of a study investigating naturally occurring variables.

When a researcher investigates the correlation between verbal and mathematical intelligence by measuring naturally occurring variables without any manipulation, they are studying which of the following?

In a study investigating the non-causal statistical relationship between verbal intelligence and mathematical intelligence, the researcher should manipulate the level of verbal intelligence to determine its effect on mathematical performance.

A researcher wants to determine whether scores on a verbal intelligence test are statistically associated with scores on a mathematical intelligence test, without manipulating either variable. Because the researcher is measuring naturally occurring variables rather than establishing causation, this research question calls for a _____ approach.

A psychologist decides to study whether verbal intelligence and mathematical intelligence are related by collecting existing test scores from a large sample of undergraduates without altering either variable. Match each research concept to its correct role or meaning within this specific study.

A researcher measures verbal intelligence and mathematical intelligence scores from 200 students without altering either variable. When breaking down why a causal conclusion is unwarranted, a key reason is that the design includes no _____ of an independent variable, which means third-variable explanations cannot be ruled out and the study can only establish a statistical association between the two constructs.

A student researcher reports: 'I found r = .68 between verbal and mathematical intelligence scores. Because this correlation is strong, verbal intelligence must be causing improvements in mathematical intelligence.' Arrange the evaluative steps a critical reviewer should apply, in the correct order, to judge whether this conclusion is justified.

Based on the provided text, why does investigating the correlation between verbal intelligence and mathematical intelligence require a non-experimental approach? Identify the primary goals of this research question and what the researcher avoids doing.

Based on the provided text's definition of non-causal statistical relationships, explain why Sarah's study is classified as non-experimental and why she cannot use her results to conclude that high verbal intelligence causes high mathematical intelligence.

Suppose a researcher wants to apply a non-experimental design to study the relationship between verbal intelligence and mathematical intelligence. What specific action must they perform regarding the variables, and what must they avoid doing?