A meteorologist records the temperature (in degrees Fahrenheit) and the amount of rain (in centimeters) during a series of rain storms. Her data is below: Temperature 62 38 29 55 61 70 47 Rain amount 1.2 6.3 5.1 2.2 0.8 1.4 3.3 Based on this, she wants to determine whether the temperature influences how much rain will fall Answer each question below, romling all values to at least 2 decimal places. (a) Find an equation of the least-squares regression line based on this sample. (b) Use your answer from part. (a) to predict the amount of rain in a storm that takes place when the temperature is 58 degrees Fahrenheit. (If for any reason you could not complete part (a), use --2.5+ 0.15.x instead.) (c) Find the residual for a storm in 40-degree weather that creates 4.2 centimeters of rain
A meteorologist records the temperature (in degrees Fahrenheit) and the amount of rain (in centimeters) during a series of rain storms. Her data is below: Temperature 62 38 29 55 61 70 47 Rain amount 1.2 6.3 5.1 2.2 0.8 1.4 3.3 Based on this, she wants to determine whether the temperature influences how much rain will fall Answer each question below, romling all values to at least 2 decimal places. (a) Find an equation of the least-squares regression line based on this sample. (b) Use your answer from part. (a) to predict the amount of rain in a storm that takes place when the temperature is 58 degrees Fahrenheit. (If for any reason you could not complete part (a), use --2.5+ 0.15.x instead.) (c) Find the residual for a storm in 40-degree weather that creates 4.2 centimeters of rain.
(a)
Obtain the regression equation.
The regression equation is obtained below as follows:
From the information, given that
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