Each question is worth 1 point. 1. What percent of the measurements are found be

Question

Each question is worth 1 point. 1. What percent of the measurements are found below the 30th percentile? Found above the 30th percentile? 2. How do you find the IQR for a data set? Explain the process and provide the formula for the IQR 3. For the regression line y = 3r + 2, what is the best predicted value if xis 7? 4. Provide the formula to calculate a residual and explain what a residual tells us for any ordered pair (xyl 5. Assume that male and fermale births are equally likely and that the birth of any child does not affect the probability the gender of any other children. Find the probability of at most three girls in ten births. In this problem, which function do you use in TI 84 calculator? (binompdf or binomcdi)? 6. An unusual event is an event in which the probability exceeds 1. (True or False) 7. The least squares regression line maximizes the sum of the squared residuals SSR (True or False?) 8. The " mean" is considered to be a measure of dispersion? (True or False ?. The following formulb cakculates a z-sco(rue or Falbe) 10. A quiz consists of 100 multiple choice questions. Each question has 4 possible answers (A-D) and only one answer is correct. If the student guesses the answer to the questions then what is the probability earn a grade of 70% or higher?

Explanation / Answer

1. 30% of the measurements are found below 30 th percentile.

(100-30)=70% of measurements are found above the 30th percentile.

2.

The interquartile range formula is the first quartile subtracted from the third quartile:

IQR = Q3 – Q1.

interquartile range (IQR) is the midspread or middle 50%.

It is a measure of statistical dispersion, being equal to the difference between 75th and 25th percentiles.

3. yhat = 3x+2

if x = 7 then the predicted value will be 3*7+2 = 21+2 = 23

4.

The difference between the observed value of the dependent variable (y) and the predicted value () is called theresidual (e). Each data point has one residual.

Residual = Observed value - Predicted value
e = y -

A residual plot is a graph that shows the residuals on the vertical axis and the independent variable on the horizontal axis. If the points in a residual plot are randomly dispersed around the horizontal axis, a linear regression model is appropriate for the data; otherwise, a non-linear model is more appropriate.

5. P ( girl ) = P ( boy) = 1/2

n= 10

p=0.5

X = no of girls born

X follows binomial distribution.

P[X=x] = nCx px (1-p)n-x

P [ X<=3 ] = P [X=0] +

P [X=1] +

P [X=2] +

P [X=3] = 0.171875

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