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1) The correlation coefficient (r) calculated between the quantity of cars produced (Q) and the cost per unit (ATC) is -0.11. Based solely on this information, what can you conclude about the relationship between Q and ATC. Explain in 1-2 sentences only.

2) Using the table below, calculate the correlation between Age and weight.

Age

Weight

36

140

27

160

36

180

21

120

3) What is the difference between a 20 percent increase in the price level and a 20 percentage point increase in the price level? Give numerical examples to support your explanation.

4) Does correlation imply causation?  Explain.

5)

1434_Conclude between the relationship.jpg

 

The histogram above is skewed to the left. Based on the picture above, what can you conclude between the relationship (i.e., which is greater) between the mean, the median and the mode?  (5 points)  No explanation is necessary.

6.

 

Coefficients

Standard Error

t Stat

P-value

Intercept

0.498119955

0.535514776

0.93017

0.35684304

income

0.055573106

0.003293109

16.87558

4.7045E-22

The Table above shows the regression results for the model:

TRAVEL = α + β INCOME  + ε

Where TRAVEL is the travel expense of an individual (in $) in the sample in 2005 and INCOME is the individual's income (in $) in 2005.

a. What sign would you expect α?  Explain in 2 sentences or less.

b. Given the regression results, interpret α and β.

c. Is the coefficient for INCOME statistically significant from zero at the 1% level? Explain.

7. ANOVA                                                                                                                     Significance

 

df

 

SS

MS               F

F

Regression

 

1

2424.220154

2424.22                284.78505

4.7045E-22

Residual

 

49

417.1103349

8.512456

 

Total

 

50

2841.330489

 

 

Using the ANOVA table, calculate the R-squared.

Is the R-squared significantly different from zero? Explain how you arrived at that conclusion.

8.  Laspeyres Price Index:

 

Price per lb. 2007

Qty. bought in 2007

Price per lb. 2008

Qty. bought in 2008

Onions

$ 2.05

3

$ 2.09

4

Garlic

$ 4.50

8

$ 4.80

7

Potatoes

$ 0.75

9

$ 0.65

8

Calculate the inflation rate between 2007 and 2008. Use the Laspeyres Price Index with 2008 as the base year.

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