At a local club, the ages of the members and the times they took to run a 10 km race are recorded. For a random sample of 25 club members aged between 27 and 60, their ages (x years) and times (y minutes) produce the following regression line. y = 0.83x + 41.28 Four new members join the club. Their respective ages (in years) are 26, 18, 22, and 28. When the respective race times for the 4 new members are estimated, which one of these estimated race times is the most reliable?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 22PFA
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At a local club, the ages of the members and the times they took to run a 10 km race are
recorded. For a random sample of 25 club members aged between 27 and 60, their ages
(x years) and times (y minutes) produce the following regression line.
y = 0.83x + 41.28
Four new members join the club. Their respective ages (in years) are 26, 18, 22, and 28. When the
respective race times for the 4 new members are estimated, which one of these estimated race times
is the most reliable?
A. 62.86 minutes
B. 56.22 minutes
C. 59.54 minutes
D. 64.52 minutes
Transcribed Image Text:At a local club, the ages of the members and the times they took to run a 10 km race are recorded. For a random sample of 25 club members aged between 27 and 60, their ages (x years) and times (y minutes) produce the following regression line. y = 0.83x + 41.28 Four new members join the club. Their respective ages (in years) are 26, 18, 22, and 28. When the respective race times for the 4 new members are estimated, which one of these estimated race times is the most reliable? A. 62.86 minutes B. 56.22 minutes C. 59.54 minutes D. 64.52 minutes
The data of the number of 'centuries' i.e. a scores of 100 runs or more, scored by players at a
cricket club during a season are given in the following table.
Number of centuries
Number of players
4
1
k
3
4
3
8
1
Given that the mean number of centuries scored per player is 1.95, find the value of k.
А. 7
В. З
C. 4
D. 1
3.
2.
2.
Transcribed Image Text:The data of the number of 'centuries' i.e. a scores of 100 runs or more, scored by players at a cricket club during a season are given in the following table. Number of centuries Number of players 4 1 k 3 4 3 8 1 Given that the mean number of centuries scored per player is 1.95, find the value of k. А. 7 В. З C. 4 D. 1 3. 2. 2.
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