Q1. Machine 1 3 4 5 6 Speed 2.0 1.6 1.6 1.8 2.0 1.2 Price 201.7 92.2 106.4 194.2 213.7 101.2 Machine 7 10 11 12 Speed 2.0 1.6 2.0 1.6 1.0 1.4 Price 219.7 138.7 211.4 200.2 93.7 86.9 a. Calculate that, is there any linear relationship between speed and price of machine? b. How much does ten speed of machine change the estimated price of machine? c. What would be the weighted mean of n natural numbers if weights are the corresponding numbers?

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter3: Polynomial Functions
Section3.5: Mathematical Modeling And Variation
Problem 1ECP: The ordered pairs below give the median sales prices y (in thousands of dollars) of new homes sold...
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Q1.
Machine
1
2
3
4
5
6
Speed
2.0
1.6
1.6
1.8
2.0
1.2
Price
201.7
92.2
106.4
194.2
213.7
101.2
Machine
7
8
10
11
12
Speed
2.0
1.6
2.0
1.6
1.0
1.4
Price
219.7
138.7
211.4
200.2
93.7
86.9
a. Calculate that, is there any linear relationship between speed and price of machine?
b. How much does ten speed of machine change the estimated price of machine?
c. What would be the weighted mean of n natural numbers if weights are the corresponding numbers?
d. The coefficient of skewness of a series A is 0.15 and that of series B is 0.062. Which of the two series
is less skewed?
e. Imagine that 11 people take a 10 question test. Suppose one student gets 10 correct answers, one gets
9 correct, one gets 8 correct, and so on, all the way down to the student getting none correct. What is
the mode score, accurate to three decimal places?
Transcribed Image Text:Q1. Machine 1 2 3 4 5 6 Speed 2.0 1.6 1.6 1.8 2.0 1.2 Price 201.7 92.2 106.4 194.2 213.7 101.2 Machine 7 8 10 11 12 Speed 2.0 1.6 2.0 1.6 1.0 1.4 Price 219.7 138.7 211.4 200.2 93.7 86.9 a. Calculate that, is there any linear relationship between speed and price of machine? b. How much does ten speed of machine change the estimated price of machine? c. What would be the weighted mean of n natural numbers if weights are the corresponding numbers? d. The coefficient of skewness of a series A is 0.15 and that of series B is 0.062. Which of the two series is less skewed? e. Imagine that 11 people take a 10 question test. Suppose one student gets 10 correct answers, one gets 9 correct, one gets 8 correct, and so on, all the way down to the student getting none correct. What is the mode score, accurate to three decimal places?
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