Why are curvilinear relationships hard to detect with correlation coefficients (r)?

A researcher measures social media use and GPA in a moderately-sized sample of undergraduate students. The results of the Pearson’s r correlation analysis for this study can be found below.      Assume we are using a significance level of .05 for the three questions below. The [color1] (null or alternative) hypothesis for this example would state: “There is no significant relationship between social media use and GPA”. Based on the results of the statistical analysis, we should [color2] (reject or fail to reject) the null hypothesis. Using a significance level of .05, we can conclude that there is evidence of a significant relationship between social media use and GPA. True or False? [color3]

Question 2:  State whether the following statements are true or false.

State whether the following statements are true or false. If they are false, give the correct answer. 2.2 Adolf Hitler had a shy personality. (1)

All of the following are true of standardized betas and correlation coefficients EXCEPT:

In the birth defect of Spina Bifida which end of the neural tube is open? (Written by Naomi B. in Corinth, Spring 2019)

DR. ICKES SCENARIO: Dr. Ickes is interested in studying the potential causal relationship between doing homework and academic achievement. In January, Dr. Ickes has her students report their Fall GPA (a measure of academic achievement) and estimate how many hours they spent doing homework during a typical week in the Fall semester. In April, Dr. Ickes measures the same variables again (the estimated number of hours spent doing homework during a typical week in the Spring semester and their Spring GPA). She finds the following correlations.    Which of the correlations is a cross-sectional correlation?

An independent-groups design is also known as a _______ design.

True or False? More than 7,000 medication-related deaths occur each year as a result of incompatible drug interactions and drug allergies.

True or False? In France, their consumers have had no restrictions on physician selection. They may visit several physicians before they find a physician they prefer. This type of medical nomadisim drives up health care costs.