Question

In: Statistics and Probability

4. A researcher reports that performance was significantly correlated with overall engagement among nurses enrolled in...

4. A researcher reports that performance was significantly correlated with overall engagement among nurses enrolled in an online degree program (r=0.8). You know this means:

a. As performance goes up, engagement goes up

b. As engagement goes up performance goes up

c. The p value is less than alpha

d. All of these are correct

13. A researcher is studying 378 nurses enrolled in online RN to BSN completion program and analyzing how age, level of engagement, motivation and time spent studying impact the final test score. When she enters level of engagement, motivation, and time spent studying into the regression model the R square change associated with each is significant but when she enters age into the model the R square change is not significant. You would recommend the final regression model include what variances?

a. Level of engagement and age

b. Level of engagement, motivation and time spent studying

c. Level of engagement and motivation

d. Level of engagement, motivation, time spent studying and age

19. The researcher examines the relationship between hours of sleep and average of test scores and reports an r=0.56, p=0.02. You know this means:

a. As hours of sleep increase average test scores do as well

b. All of these answer are correct

c. There is a statistically significant correlation between sleep and test scores

d. There is a strong positive relationship between the variables

20. A nursing professor wishes to determine if there is an association between her students grades and three independent variables (use of online turtorials, the use of quiz review sessions and participation in study sessions). When she adds the third variable the standard error of estimate changes from 8.2 to 9.4. She knows this means:

a. She is unable to determine what the change means without an R squared value

b. There is a clinically significant relationship between the use of resources and final grades

c. She should include all the independent variables in her model because they are all important

d. The prediction made by the model including the three variables will be less accurate

Solutions

Expert Solution

4:

Since the correlation coefficient between the variables is significant and positive so if one variable goes up then second variable will also go up. It is given that correlation coefficient is significant so p-value must be less than alpha.

Hence, all options are correct.

13:

Since model with Level of engagement, motivation and time spent studying is significant while the model Level of engagement, motivation, time spent studying and age is not so you should include variables "Level of engagement, motivation, time spent studying" in the model.

Correct option is

b. Level of engagement, motivation and time spent studying

19:

Since the correlation coefficient between the variables is significant and positive so if one variable goes up then second variable will also go up. Since level of significance is not given so we cannot conclude that whether correlation coefficient is significant or not.

Correct option:

a. As hours of sleep increase average test scores do as well

20:

a. She is unable to determine what the change means without an R squared value


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