Can you show work for this questions
1. The correlation between the number of cans of soda a person consumes weekly and the number of cavities the person has at the age of 18 is 0.78. If the person has a z score of -1.2 on the soda-consumed variable, the z score on the variable number of cavities will be:
2. If the correlation between the number of two-bite brownies a person consumes and successful weight loss is -0.56, what would be the predicted z score for a person who has a z score of 0.80 for the number of brownies consumed?
3. Daniela is working on figuring out the regression line for some data, but first needs to determine the predicted value for Y. She knows that the slope is 4 and the y-intercept is 3. What is the predicted Y value for an X score of 7?
4. Assume a positive correlation is found between the number of hours a student sleeps and the score on final exams. If the regression line is calculated and the y-intercept is found to be 56, which of the following statements is true?
5. Data from the World Health Organization in 2013 were used to predict the life expectancy of men in a country from the life expectancy of women in the country. The resulting regression equation was Y^ = 3.73 + 0.88(X). Using the regression equation, what would be the predicted life expectancy of men in a country in which the life expectancy of women is 56 years?
6. If we can predict a score (Y) of 55 from an observed (X) of 20 in a regression line that has a y-intercept of 6, what is the slope of the regression line?