Question 12 Researchers are investigating how the amount of monthly rainfall measured in centimeters (cm)affects the monthly growth, in cm, of a certain plant. From a sample of data, the researcher
created a least-squares regression line. Computer output is shown in the following table.
Variable
DF
Estimate
T
Intercept 1
0.350
Rainfall
0.025
SE
0.75
2.14
1
0.15
6.00
Which of the following statements is an interpretation of the value 0.75 shown in the table?
Monthly growth is expected to increase by 0.75 cm when rainfall increases by 1 cm.
B
Rainfall is expected to increase by 0.75 cm when monthly growth increases by 1 cm.
С
For a month with 0 cm of rainfall, the monthly growth is expected to be approximately 0.75 cm.
D
For a plant with Ocm of monthly growth, the month had an expected rainfall of approximately 0.75 cm.
E
Approximately 75% of the variability in monthly growth is due to its linear relationship with rainfall.