Question
1 The heights (in centimeters) of sample of 11 plants in greenhouse are shown below. Note any plant with a height lower than 10cm is
1 The heights (in centimeters) of sample of 11 plants in greenhouse are shown below. Note any plant with a height lower than 10cm is recorded as L and any plant with a height greater than 100 cm is recorded as H.
36 L 68 H 73 18 45 92 L 27 40
What is the interquartile range of heights for this sample of plants
A 48
B 50
C impossible to determine without the missing values
D 55
E 41
2 there are 8 assignment in a math course - 5 before the midterm and 3 after the midterm. One student had an average score of 64 on the pre-midterm assignment and 87 on the post midterm assignments. What was the average score for this student for all assignment?
A 71.750
B 72.625
C 73.375
D 73.375
E 74.125
3 the pH levels for 30 liquids are measured in a laboratory. The data are ordered and shown below.
3.03.3 3.7 4.0 4.04.4 4.5 4.8 4.9 4.9
5.05.05.05.05.05.45.55.65.65.7
5.75.8 5.9 6.1 6.3 6.87.7 7.3 7.78.0
The five-number summary for this data set is calculated to be:
3.0 4.8 5.2 5.98.0
If we created an outlier boxplot for this data set, the lines coming out from (i.e the whiskers) would extend to what values?
A 3.7 and 7.7
B 3.3 and 7.3
C 3.15 and 7.55
D 3.85 and 7.25
E 3.0 and 8.0
4 A small restaurant near the Canada U.S border accepts both Canadian and America money. For sample of days in December, the owner calculates the correlation between the outdoor temperature (in degrees Celsius) and coffee sales (in Canadian dollars) to be r= -0.35. What would be the value of the correlation if temperature had instead been measured in degrees Fahrenheit and sales had instead been measured in America dollars?
Note: 1 U.S $ = 1.32 Cdn. $
Temp. in F= 32 + 1.8* Temp in C
A -0.15
B -0.48
C -0.26
D -0.35
E -0.54
5 At a dividing competition, the considering between the score X given by the German judge and the score Y given by the Russian judge is 0.89. We can conclude that:
A the two judges gave the same score 89%
B when one of the judges gave a high score, the other judge tended to give a high score as well
C the German judge tended to give a higher score than the Russian judge
D the Russian judges score was higher than the German judges score 89% of the time
E German judges score was, on average, only 89% of the Russian judge's score
6 We take a random sample of airline flights and we calculate the following:
The mean flight distance is 3600km.
The mean flight duration is 280 minutes
The standard deviation of distance is 200 km
The standard deviation of durations is 150 minutes
The correlation between distance and duration is 0.84
Using the least squares regression line, what is the predicted duration of flight with a distance of 3100km? (do not round off in any of your calculations.)
A 255.7
B 248.5
C 240.9
D 244.3
E 251.2
7 which of these about correlation and least squares regression is true?
A positive value of r indicates a strong linear relationship and negative values of r indicate a weak linear relationship
B in order to calculate the correlation we must have an explanatory variable and a response variable
C outliers in the y-direction typically have a stronger effect on the least square's regression line than outliers in the x-direction
D if the sum of squared residuals is equal to zero, then r must be either -1 or 1
E the least squares regression line maximizes the sum of squared residuals
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