# Statistics: Regression, Correlation, ANOVA

1. Find the equation of the regression line for the given data. What is the predicted value of Y when X = -2? What is the predicted value of Y when X = 4?

X -5 -3 4 1 -1 -2 0 2 3 -4

Y -10 -8 9 1 -2 -6 -1 3 6 -8

2. The data below are the final exam scores of 10 randomly selected statistics students and the number of hours they studied for the exam. Find the equation of the regression line for the given data. Predict the final exam score for students who studied 4 hours. Predict th final exam score for students who studied 6 hours.

Hours (X) 3 5 2 8 2 4 4 5 6 3

Score (Y) 65 80 60 88 66 78 85 90 90 71

3. Find the correlation coefficient between X and Y. Is there a weak or strong, positive or negative correlation between X and Y?

X -5 -3 4 1 -1 -2 0 2 3 -4

Y -10 -8 9 1 -2 -6 -1 3 6 -8

4. An investigator hypothesizes that light affects the growth rate of bacteria. She exposed cultures to red light, blue light, and no light at all. The test data are the number of hours required for the bacteria colonies to double in size. Perform a one-way ANOVA analysis, testing at the 0.05 level. Describe your results.

Group Test data

Red light 7 4 6 8 6 6 2 9

Blue light 5 5 3 4 4 7 2 2

No light 2 4 7 1 2 1 5 5

#### Solution Summary

This solution is comprised of a detailed explanation for different questions on Regression, Correlation, ANOVA. The data analysis tool is used for ANOVA, regression analysis and correlation coefficient in excel. Full interpretation is given for correlation and regression analysis.