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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.

Respuesta :

Answer:

C

Step-by-step explanation:

We went over it in class.

fichoh

The value of the y-intercept gives the value of predictor variable, y when the value of the explanatory variable, x is equal to 0.

Therefore, 0.75 is the value of the y-intercept which means that monthly growth will be 0.75 when the amount of Rainfall is 0cm.

  • The rate of increase per 1 cm increase in monthly Rainfall is the slope value the regression line.

  • The intercept value of y(monthly growth) is 0.75 cm and it is the value of growth when the amount of Rainfall is 0cm

  • The approximate percentage of variability is given by the coefficient of determination and not the value of the intercept.

Therefore, the value 0.75 infers that monthly growth will stand at approximately 0.75 when the value of Rainfall is 0cm.

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