Math quiz

Question 1

1. What is the linear regression equation for the old process? Round the intercept to one decimal place and the slope to three decimal places.

 

a.

y= 29.3 x + .514

 

b.

y =293 – .514x

 

c.

y = 29.3 + .514x

 

d.

y = 29.3% + 51.4%X

2 points

Question 2

1. What is the linear regression equation for the new process? Round the intercept to one decimal and the slope to three decimal places.

 

a.

 

Y= 29.9% – 0.612%X

 

b.

Y = 29.9- 0.612X

 

c.

Y= -.61 +29.9X

 

d.

Y= -61.2+ 29.9X

2 points

Question 3

1. Interpret what the slope given the linear equation predicted y = 29.3 +0.514x in this equation means?

 

a.

For every increase of one in the   independent variable x there is an increase of 0.514 in predicted y.

 

 

b.

For every increase of one in   the independent variable x there is a decrease of 0.514 in predicted x

 

c.

For every increase of one in   the dependent variable x there is an increase of 0.514 in predicted y.

 

d.

For every increase of one in   the independent variable x there is a decrease of 0.514 in predicted y.

2 points

Question 4

1. Interpret      the slope for the equation y = 29.9 – 0.612X

 

a.

For every increase of one in   the independent variable x there is an increase of 0.612 in predicted x.

 

b.

For every increase of one in   the independent variable x there is a decrease of 0.612 in predicted x

 

c.

For every increase of one in   the independent variable x there is an increase of 0.612 in predicted y.

 

d.

For every increase of one in the   independent variable x there is a decrease of 0.612 in predicted y.

 

2 points

Question 5

1. What      is the interpretation of the y-intercept in the liner regression equation?

Given: y = 29.3 + 0.514x

 

a.

The interpretation of the   y-intercept is the value for predicted y given the absence of explanatory   variable x.

 

 

b.

The interpretation of the   y-intercept is the value for y given the absence of response variable y.

 

c.

The interpretation of the   y-intercept is the value for x given the absence of explanatory variable y.

 

d.

The interpretation of the   y-intercept is the value for predicted y given the absence of response   variable x.

2 points

Question 6

1. What is the interpretation of predicted y given the absence of explanatory variable x given the equation?

y = 29.9- 0.612X

 

a.

The interpretation of the   y-intercept is the value for predicted y given the absence of explanatory   variable x. In this case, predicted y is 29.9 given the absence of x.

 

 

b.

The interpretation of the   y-intercept is the value for predicted y given the absence of response   variable x. In this case, predicted y is 29.9 given   the absence of x.

 

c.

The interpretation of the   y-intercept is the value for predicted x given the absence of explanatory   variable x. In this case, predicted y is 29.9 given   the absence of x.

 

d.

The interpretation of the   y-intercept is the value for predicted y given the absence of explanatory   variable x. In this case, predicted y is 29.9 given   the absence of y.

2 points

Question 7

1. Comparing      the old process to the new process was there an increase or decrease      relative to the time spent? Hint: Use the average cycle time for each      process.

 

a.

No Change

 

b.

Increase

 

c.

Decrease

 

d.

Unable to determine

2 points

Question 8

1. What      is the correlation coefficient for the old process? Round your answer      to three decimals.

 

a.

r= 0.481

 

b.

R^2 = 0.481

 

c.

r  =  -0.481

 

d.

r = 48.1%

2 points

Question 9

1. What      is the correlation coefficient for the new process? Round your answer      to three decimals.

 

a.

r ( squared) = 0.601

 

b.

r = -0.601

 

c.

r  =  0.601

 

d.

r^2 = 0.60

2 points

Question 10

1. What is the value of the coefficient of determination for the old process?

 

a.

R2=0.231

 

b.

r^2= 0.231

 

c.

R = 23.1

 

d.

r= 23.1%

2 points

Question 11

1. What is the value of the coefficient of determination for the NEW process?

 

a.

R2 = 0.361

 

b.

r2 = 0.361

 

c.

r = 361

 

d.

R=36%

2 points

Question 12

1. Interpret the coefficient of determination for the old process. Round your answer to one decimal.

 

a.

23.1% of the variability present   in predicted y can be explained by variability present in the model.

 

b.

23.1% of the variability   present in predicted y can be explained by variability present y.

 

c.

 

We do not     have enough data to interpret this model.

 

d.

23.1% of the variability   present in the model can be explained by variability present in y

2 points

Question 13

1. Interpret the coefficient of determination in the new process. Round your answer to one decimal.

 

a.

36.1% of the variability   present in predicted y can be explained by variability present in the model.

 

b.

36.1% of the variability   present in predicted x can be explained by variability present in the   response variable.

 

c.

36.0 is the variability   present in x and can be explained by variability present in the model.

 

d.

No conclusion can be drawn as   we do not have enough information.

3 points

Question 14

1. What was the average      effect of the process change? Did the process average increase or decrease      and by how much? Round your answer to the nearest whole number.

 

a.

The new process reduces the   claim time by 7 days. It reduces the elapsed time from 33 days to 26 days. As   a result, the new process reduces claim process time and eliminates work load   accumulations

 

b.

The new process has a   negative effect on improving policy holder satisfaction. The new process   improves the average elapsed time from 32.7 days to 25.9 days .

 

c.

The new process has a   positive effect on improving policy holder satisfaction. The new process   remains the same the average elapsed time from 32.7 days to 25.9 days.

 

d.

The new process has a neutral   effect on improving policy holder satisfaction. The new process improves the   average elapsed time from 32.7 days to 25.9 days.