Suppose the correlation coefficient between height (as measured in feet) versus

Question

Suppose the correlation coefficient between height (as measured in feet) versus weight (as measured in pounds) is 0.40. What is the correlation coefficient of height measured in inches versus weight measured in ounces? [12 inches = one foot; 16 ounces = one pound]

0.40

0.30

0.533

cannot be determined from the information given

January temperature as the response variable (y). The latitude is measured in degrees and average January temperature in degrees Fahrenheit. The latitudes ranged from 26 (Miami) to 47 (Duluth) .The regression equation is y = 49.4 – 0.313 x . The city of Pittsburgh, Pennsylvania has latitude 40 degrees with average January temperature of 25 degrees Fahrenheit. What is the estimated average January temperature for Pittsburgh, based on the regression equation?

36.88

21.33

12.22

112.2

Recall the regression equation y = 49.4 – 0.313 x . The city of Pittsburgh, Pennsylvania has latitude 40 degrees with average January temperature of 25 degrees Fahrenheit. What is the residual?

11.88

-11.88

0

1

Recall the regression equation: y= 49.4 – 0.313 x. The city of Miami, Florida has latitude 26 degrees with average January temperature of 67 degrees Fahrenheit. What is the residual?

0

25.7

41.26

-41.26

0.48

0.65

1.32

1.90

Explanation / Answer

1) correlation coefficient will remain same as it is unitless

0.40

2)  estimated average January temperature =49.4-0.313*40=36.88

3) residual =actual-predicted =25-36.88 =-11.88

4) residual =actual-predicted = 67-(49.4-0.313*26)=25.7

5) slope =r*Sy/Sx =0.63*1.9/2.5=0.48

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