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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