Question

"Correlation/Regression QA"

Use the following information to answer the following 15 questions.
A researcher wants to determine the relationship between Number of Cigarettes Smoked (X) and Lung Function (Y). The researcher asks participants how many cigarettes they average smoking per day and measures their lung function. The data are presented below.
Number of Cigarettes:   
0,     0,    0,     0.     5,     5,     5,    10,   10,   10,   13,   20,   20,   30,   30,   30,   40,   60
Lung Function:            
100,   88,   98,   97,   94,   84,   88,   80,   86,   80,   82,   70,   78,   82,   55,   57,   54,   67

5)What is the value of the observed test statistic (t) used to determine whether, in the population, this relationship is significantly different from zero (Round to two decimal places)?  

11) If appropriate, calculate the proportion of variation in Lung Function that is not accounted for by Number of Cigarettes Smoked (Round to two decimal places). If it is not appropriate to calculate this, input 999.

12) If appropriate, calculate the slope of the regression equation for predicting Lung Function from Number of Cigarettes smoked (Round to three decimal places). If it is not appropriate to calculate, input 999.

13)If appropriate, calculate the y-intercept of the regression equation for predicting Lung Function from Number of Cigarettes smoked (Round to three decimal places). If it is not appropriate to calculate, input 999.

14) If appropriate to calculate, what would you predict for the Lung Function of an individual that smoked 80 cigarettes per day (Round to three decimal places)? If not appropriate to calculate, input 999.

15) Only calculate if it is appropriate to calculate this. In the data presented above, one individual who smokes zero cigarettes per day has a perfect lung function score of 100. What would you predict that their lung function score should be (Round to three decimal places)? If not appropriate to calculate this, input 999.

Answer 1