Please show work I am very lost A researcher was investigati

Please show work I am very lost

A researcher was investigating possible explanations for deaths in traffic accidents. He examined data from 1991 for each of the 50 states plus the District of Columbia. The data included the number of deaths in traffic accidents (labeled as the variable Deaths), the average income per family (labeled as the variable Income), and the number of children (in multiples of 100,000) between the ages of 1 and 14 in the state (labeled as the variable Children). As part of his investigation he ran the following multiple regression model Deaths-A + (Children) + (Income) + & where the deviations & were assumed to be independent and normally distributed with mean 0 and standard deviation This model was fit to the data using the method of least squares. The following results were obtained from statistical software. df Source Model Error 48362278 3042063 48 Variable Constant Children Income 593.829 90.629 0.039 204.114 3.305 0.015 1. The value of the regression standard error is A) 0.015 B) 3.305 C) 204.14 D) 251.74 2. Suppose we wish to test the hypotheses H: -= 0, Ha: at least one of the is not 0 using the ANOVA F test. The P-value of the test is A) larger than 0.10. B) between 0.10 and 0.05 C) between 0.05 and 0.01 D) below 0.01

Solution

1).

Regression standard error = sqrt( 3042063/48) =251.7465

Answer =D). 251.74

2).

source

df

SS

MSS=ss/df

F=mss model/ mss error

model

2

48362278

24181139

381.5485

error

48

3042063

63376.31

Calculated F=381.55

table F value at DF1=2,DF2=48 at 0.01 level =5.077

calculated F=381.55 > table value at 0.01 level.

Calculated P< 0.01

Answer D) below 0.01

source	df	SS	MSS=ss/df	F=mss model/ mss error
model	2	48362278	24181139	381.5485
error	48	3042063	63376.31