Meteorologists in a seaside town wanted to understand how their annual rainfall is affected by the temperature of coastal waters. For the past few years, they monitored the average temperature of coastal waters (in Celsius), x, as well as the annual rainfall (in millimetres), y. Rainfall statistics • The mean of the x-values is 11.503. • The mean of the y-values is 366.637. • The sample standard deviation of the x-values is 4.900. • The sample standard deviation of the y-values is 44.387. • The correlation coefficient of the data set is 0.896. least squares regression line of this data set is: y = 8.116x + 273.273 v much rainfall does this line predict in a year if the average temperature of coastal wate 5 degrees Celsius? nd your answer to the nearest integer. millimetres

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Use the least squares regression line of this data set to predict a value.
Meteorologists in a seaside town wanted to understand how their annual rainfall
is affected by the temperature of coastal waters.
For the past few years, they monitored the average temperature of coastal
waters (in Celsius), x, as well as the annual rainfall (in millimetres), y.
Rainfall statistics
• The mean of the x-values is 11.503.
• The mean of the y-values is 366.637.
• The sample standard deviation of the x-values is 4.900.
• The sample standard deviation of the y-values is 44.387.
• The correlation coefficient of the data set is 0.896.
The least squares regression line of this data set is:
y = 8.116x + 273.273
How much rainfall does this line predict in a year if the average temperature of coastal waters
is 15 degrees Celsius?
Round your answer to the nearest integer.
millimetres
Transcribed Image Text:Use the least squares regression line of this data set to predict a value. Meteorologists in a seaside town wanted to understand how their annual rainfall is affected by the temperature of coastal waters. For the past few years, they monitored the average temperature of coastal waters (in Celsius), x, as well as the annual rainfall (in millimetres), y. Rainfall statistics • The mean of the x-values is 11.503. • The mean of the y-values is 366.637. • The sample standard deviation of the x-values is 4.900. • The sample standard deviation of the y-values is 44.387. • The correlation coefficient of the data set is 0.896. The least squares regression line of this data set is: y = 8.116x + 273.273 How much rainfall does this line predict in a year if the average temperature of coastal waters is 15 degrees Celsius? Round your answer to the nearest integer. millimetres
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