The following scatterplot and table represent the mean monthly temperature an rainfall of a coastal city over a period of 10 months. 325 300 275 Mean monthly temperature and rainfall X

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 19PFA
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The following scatterplot and table represent the mean monthly temperature and
rainfall of a coastal city over a period of 10 months.
325
300
275
250
225
200
rainfall (mm) 175
150
100
75
50
25
Temp 18
(°C)
Rainfall 45
(mm)
15
X
10" 11" 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30
Temperature "C
20
19
Mean monthly temperature and rainfall
50
25
22 24
X
115 65
X
28 26 27 29
100 300 190 175 200
2.1 Determine the equation of the least squares regression line.
2.2 Identify the outlier.
2.3
Sketch the equation of the regression line on the DIAGRAM provided at
the end of your paper.
2.4 Determine the value of the correlation coefficient and comment on the
relationship between the mean temperature and the mean rainfall.
2.5 If the mean temperature recorded for a certain month is 14°C, calculate
the mean rainfall for that month.
How reliable is your answer? Explain and motivate your answer.
Transcribed Image Text:The following scatterplot and table represent the mean monthly temperature and rainfall of a coastal city over a period of 10 months. 325 300 275 250 225 200 rainfall (mm) 175 150 100 75 50 25 Temp 18 (°C) Rainfall 45 (mm) 15 X 10" 11" 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 Temperature "C 20 19 Mean monthly temperature and rainfall 50 25 22 24 X 115 65 X 28 26 27 29 100 300 190 175 200 2.1 Determine the equation of the least squares regression line. 2.2 Identify the outlier. 2.3 Sketch the equation of the regression line on the DIAGRAM provided at the end of your paper. 2.4 Determine the value of the correlation coefficient and comment on the relationship between the mean temperature and the mean rainfall. 2.5 If the mean temperature recorded for a certain month is 14°C, calculate the mean rainfall for that month. How reliable is your answer? Explain and motivate your answer.
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