A study was conducted to assess the influence of various factors on the start of new firms in the computer chip industry. For a sample of 70 countries the following model was estimated: ŷ = -59.31 + 4.983x1 + 2.198x2 + 3.816x3 – 0.310x4 (1.156) (0.210) (2.063) (0.330) -0.886x5 + 3.215x6 + 0.85x7 (3.055) (1.568) (0.354) R? = 0.766 where ŷ = new business starts in the industry X1 = population in millions x2 = industry size X3 = measure of economic quality of life X4 = measure of political quality of life X5 = measure of environmental quality of life X6 = measure of health and educational quality of life %3D x7 = measure of social quality of life The numbers in parentheses under the coefficients are the estimated coefficient standard errors. (a) Determine which coefficients in the model are statistically significant? Provide a justification for your answer. (b) Is the overall regression equation statistically significant at the 1% level? Justify your answer.

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A study was conducted to assess the influence of various factors on the start of new
firms in the computer chip industry. For a sample of 70 countries the following
model was estimated:
ŷ = -59.31 + 4.983x1 + 2.198x2 + 3.816x3 – 0.310x4
(1.156)
(0.210)
(2.063)
(0.330)
-0.886x5 + 3.215x6 + 0.85x7
(3.055)
(1.568)
(0.354)
R2 = 0.766
where
ŷ = new business starts in the industry
X1 = population in millions
X2 = industry size
x3 = measure of economic quality of life
measure of political quality of life
measure of environmental quality of life
measure of health and educational quality
of life
X4
X5
X6 =
x7 = measure of social quality of life
The numbers in parentheses under the coefficients are the estimated coefficient
standard errors.
(a) Determine which coefficients in the model are statistically significant? Provide a
justification for your answer.
(b) Is the overall regression equation statistically significant at the 1% level? Justify
your answer.
Transcribed Image Text:A study was conducted to assess the influence of various factors on the start of new firms in the computer chip industry. For a sample of 70 countries the following model was estimated: ŷ = -59.31 + 4.983x1 + 2.198x2 + 3.816x3 – 0.310x4 (1.156) (0.210) (2.063) (0.330) -0.886x5 + 3.215x6 + 0.85x7 (3.055) (1.568) (0.354) R2 = 0.766 where ŷ = new business starts in the industry X1 = population in millions X2 = industry size x3 = measure of economic quality of life measure of political quality of life measure of environmental quality of life measure of health and educational quality of life X4 X5 X6 = x7 = measure of social quality of life The numbers in parentheses under the coefficients are the estimated coefficient standard errors. (a) Determine which coefficients in the model are statistically significant? Provide a justification for your answer. (b) Is the overall regression equation statistically significant at the 1% level? Justify your answer.
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