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

DecadeTotal_Births_in_Country_(millions)Number_of_Software_Millionaire_BirthdaysNumber_ of_CEO_Birthdays_(in_a_random_sample_of_70_companies)

1920 28.828 2 1

1930 24.457 1 1

1940 31.998 11 23

1950 40.162 13 32

1960 38.105 8 9

1970 33.348 6 0

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.

B)Give a practical interpretation of the estimated y-intercept of the line. Select the correct choice below and, if necessary, fill in the answer box within your choice.

C)Predict the number of software millionaire birthdays that will occur in a decade where the total number of births in this country is 34million.

D)Fit a simple linear regression model relating number (y) of software millionaire birthdays in a decade

E)Practically interpret the estimated y-intercept and slope of the model, part d.

F)Predict the number of software millionaire birthdays that will occur in a decade where the number of CEO birthdays (from a random sample of 70 companies) is 15

PEASE SHOW ALL WORK