Question

B. Predict the number of software millionaire birthdays that will occur in a decade where the total number of births in this country is 35 million. ( round to 2 decimal places as needed)

%) 11.2.19-T Question Help ! A researcher notes that, in a certain country, a disproportionate number of software millionaires were born around the year 1955. Is this a coincidence, or does birth year matter when gauging whether a software founder will be successful? The researcher investigated this question by analyzing the data shown in the accompanying table. Click the icon to view the table. a. Fit a simple linear regression model relating number (y) of software millionaire birthdays in a decade to total number (x) of births in this country. Give the least squares prediction equation. ĝ= + (O) (Round to two decimal places as needed.) © Data regarding software millionaire birthdays - X Number of Software Millionaire Birthdays Number of CEO Birthdays in a random sample of 70 companies) Decade 1920 1930 1940 1950 1960 1970 Total Births in Country (millions) 28.016 24.065 31.603 40.796 38.311 33.603 00w ovo SNN Print Done

C. Fit a simple linear regression model relating number (y) of software millionaire birthdays in a decade to number (x) of CEO birthdays. give the least  squares prediction equation. ( round to 2 decimal places as needed)

D. Predict the number of software millionaire birthdays that will occur in a decade where the total number of births in this country is 35 million

Answer 1

X Y XY XX YY 28.016 3 84.048 784.896 9 24.065 1 24.065 579.124 1 31.603 10 316.03 998.75 100 40.796 16 652.736 1664.31 256 38.311 8 306.488 1467.73 64 33.603 6 201.618 1129.16 36 ΣΧ = 196.394,ΣΥ = 44.0 ΣΧΥ = 1584.985,ΣΧΧ = 6623.978,ΣΥΥ = 466.0

a)

= α+ br ΣΥ *ΣΧΧ -ΣΧ* ΣΧΥ Η 44.0 και 6623.976 - 1963941584.985 • 8 -16,8986 * 6 * 6623.978 – 196.394 και 196.394 , ηΣΧΥ - ΣΧ* ΣΥ = - ηΣ Χ2 – (ΣΧ)2 6 και 1584.985-196.394 * 44.0 x 0.7403 6 * 6623.978 - 196.394 * 196.394 =-16.90 + 0.74r

b) x = 35

y = -16.90 +0.7435.0) û = 9.01

c)

X Y XY XX YY 2 3 6 4 9 2 1 2 4 1 22 10 220 484 100 35 16 560 1225 256 7 8 56 49 64 Ο 6 0 0 36 ΣΧ = 68.0,ΣΥ = 44.0 ΣΧΥ = 844.0, ΣXX = 1766.0, ΣΥΥ = 466.0


= α+ br " ΣΥ * ΣXX – ΣΧ* ΣΧΥ " ηΣΧ2 – (ΣΧ)2 44.0 και 1766.0 – 68.0 * 844.0 - 3.4012 * 6 * 1766.0 – 68.0 * 68.0 , ηΣΧΥ - ΣΧ * ΣΥ ο = η Σχ2 – (ΣΧ)2 6 * 844.0 – 68.0 * 44.0 b = .. 6 και 1766.0 – 68.0 * 68.0 και = 3.40 + 0.35r

d) x = 35

y = 3.40 +0.35(35.0) y = 15.55

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