A group of researchers (Nolan et al., 2003) looked at the factors that predict anxiety over a 3-year period. They conduct a regression analysis examining whether depression at year 1 predicted anxiety at year 3.

a.The correlation betweendepression at year 1 and anxiety at year 3isr= .235.

1.What is the research question for a correlation analysis using these two variables?(1 mark)

2.Calculate the r2value and explain what this tells us about these two variables.(1 mark)

b.Below is the output from the Model Coefficients table. Use this information to respond to the following:

1.What is the research question for a regression analysis using these two variables?(1 mark)

2.What is the regression equation?(1 mark)

3.How would you interpret the slope coefficient?(1 mark)

Predictor

Estimate

SE

t

p

Intercept

24.698

0.566

43.665

<.001>

Depression Year 1

0.161

0.048

3.333

.001

A group of researchers molan et al., 2003) looked at the factors that predict anxiety over a 3-year period. They conduct a regression analysis examining whether depression at year I predicted anxiety at year 3. a. The correlation between depression at year 1 and anxiety at year 3 is r = .235. 1. What is the research question for a correlation analysis using these two variables? (1 mark) 2. Calculate the I2 value and explain what this tells us about these two variables. (1 mark) b. Below is the output from the Model Coefcients table. Use this information to respond to the following: 1. What is the research question for a regression analysis using these two variables? (1 mark) 2. What is the regression equation? (1 mark) 3. How would you interpret the slope coefficient? (1 mark) Predictor Estimate SE t p Intercept 24.698 0.566 43.665 <.001 depression year .001>