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21. A researcher records the odometer reading and price for a group of used Hond

ID: 2909451 • Letter: 2

Question

21. A researcher records the odometer reading and price for a group of used Hondas. What kind of correlation is likely to be obtained for these two variables a. A positive correlation b. A negative correlation c. A correlation near zero d. A correlation near one 22.What is the value of SP for the following set of data? c. 15 2 4 d. -15 9 1 on 23 A set of n = 15 pairs of scores (X and Y values) has SSXe 4, SSYs 25, and SP= 6 what is the Pea correlation for these data? a.6/100 6/100/15) b.6/10 d 610/15) Bonus Questions: Each correct answer is worth 2 points M = 40 and a variance of s2 = 16, which of the following is the correct 90% confidence interval for ?? a. ?#40 2.353(4) b, ?= 40±1.638(4) of n- 4 scores is selected from a population with an unknown mean. The sample has a mean of c, ? = 40 ± 2.3532) d, ?= 40 ±1.638(2)

Explanation / Answer

21)

Option b

Since the price of the car decreases as it gets older or it has covered more distance. Hence there would be a negative correlation between price and odometer reading of cars.

22)

Option d

SP = SSXY – (SX*SY/n)

From given data:

SSXY = 21, SSX = 12, SSY = 9

n = 3

Hence, SP = -15

23)

Option b

Correlation Coefficient(r) = SSXY/(SSX * SSY)1/2

Given, SSXY = 6, SSX = 4, SSY = 25

Hence r = 6/(4*25)1/2 = 6/10

24)

Option d

n = 4

Mean = 40

Variance = 16

Alpha = 0.1

Zcritical = 1.64

Hence 90% Confidence Interval of population Mean = 40 +/- 1.64*4/4½ = 40 +/- 1.64*2

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