can you provide answers to the follwoing quesitons

1. Suppose IQ’s are well described by a normal model with means 100 and standard deviation 16. Use the normalcdf and invNorm functions to answer the following:

a) What percent of IQ’s would you expect to be between 112 and 132?

b) What percent of IQ’s would you expect to be under 90?

c) What percent of IQ’s would you expect to be over 80?

d) What IQ is required to be in the to 3 percent of all IQ’s

2. The table shows the number of live births per 1000 women aged 15-44 years in the United States

Year

1965

1970

1975

1980

1985

1990

1995

2000

2005

Rate

19.4

18.4

14.8

15.9

15.6

16.4

14.8

14.4

14.0

  1. Use your calculator to make a scatter plot. Describe its shape (no need to reproduce the scatterplot here.) Enter the years as 65, 70, 75, ect.

  2. Give the equation of the regression line.

  3. Give the correlation coefficient for this data. Interpret the value of r.

  4. Use the equation of the regression line to estimate the birth rate in 1978.

  5. Can you use the equation of the regression line to predict the birth rate in 2014. Explain

 
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