ANOVA & Least Squares

 

          

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      -7    -2    5    1   -1   -2   0   2   3   -3 

Y     -12    -8    9    1   -5   -6  -1   4   7    -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)   75     90     70     98     76    88    95    99   98   81                               

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    -9    -7    8    2    -3    -5   -2    4    7    -7    

4. A pharmaceutical company tested two new flu vaccines intended to boost immunity.    In order to test the effectiveness of this drug, a one year study was done were at the beggining of the year three groups of eight individuals were given either Flu Shot 1, Flu Shot 2, or a placebo (a shot with only saline and no vaccine).  The number of sick days from work each individual took was carefully recorded over the following year. Both flu shots were found to be completely safe with no side effects, but differed in terms of effectiveness.  The data below gives the number of sick days for the individuals in each of the three groups.

Perform a one-way ANOVA analysis, testing at the 0.05 level.  Also, calculate the mean number of sick days for each group.  Describe your results.  But equally important, also explain what you would do if you owned your own company.  Would you pay for your employers to receive Flu Shot 1 or Flu Shot 2 in order to keep their number of sick days down?  If so, which one would you choose?  Would you choose either vaccine only if it was very cheap or would you be willing to invest a lot into the vaccine for your employees?  Explain your reasoning.   

Group                  Sick days per year

Placebo                7  4  6  8  6  6  2  9

Flu Shot 1             5  3  3  5  4  7  3  3

Flu Shot 2             2  4  1  2  2  1  2  5                                                                                                                                                                                                                         

 

 
Looking for solution of this Assignment?

WHY CHOOSE US?

We deliver quality original papers

Our experts write quality original papers using academic databases.  

Free revisions

We offer our clients multiple free revisions just to ensure you get what you want.

Discounted prices

All our prices are discounted which makes it affordable to you. Use code FIRST15 to get your discount

100% originality

We deliver papers that are written from scratch to deliver 100% originality. Our papers are free from plagiarism and NO similarity

On-time delivery

We will deliver your paper on time even on short notice or  short deadline, overnight essay or even an urgent essay