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Chapter 12: Q. AP4.2 (page 827)
If and P(B)=0.52 and events A and B are independent, what is P(A or B)?
a. 0.1248
b. 0.28
c. 0.6352
d. 0.76
e. The answer cannot be determined from the given information.
The P(A or B) is 0.76
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R12.4 Long legs Construct and interpret a 95% confidence interval for the slope of the population regression line. Assume that the conditions for inference are met. Explain how the interval provides more information than the test in R12.3.
Students in Mr. Handford鈥檚 class dropped a kickball beneath a motion detector. The detector recorded the height of the ball (in feet) as it bounced up and down several times. Here is a computer output from a linear regression analysis of the transformed data of log(height) versus bounce number. Predict the highest point the ball reaches on its seventh bounce.
a. feet
b. feet
c. feet
d. feet
e. feet
A survey firm wants to ask a random sample of adults in Ohio if they support an increase in the state sales tax from to , with the additional revenue going to education. Let denote the proportion in the sample who say that they support the increase. Suppose that of all adults in Ohio support the increase. If the survey firm wants the standard deviation of the sampling distribution of to equal how large a sample size is needed?
a.
b.
c.
d.
e.
Multiple Choice Select the best answer for Exercises 23-28. Exercises 23-28 refer to the following setting. To see if students with longer feet tend to be taller, a random sample of students was selected from a large high school. For each student, were recorded. We checked that the conditions for inference about the slope of the population regression line are met. Here is a portion of the computer output from a least-squares regression analysis using these data:
Which of the following is a confidence interval for the population slope ?
a.
b.
c.
d.
e.localid="1654193042763"
Click-through rates Companies work hard to have their website listed at the top of an Internet search. Is there a relationship between a website鈥檚 position in the results of an Internet search (1=top position,2=2nd position, etc.) and the percentage of people who click on the link for the website? Here are click-through rates for the top 10 positions in searches on a mobile device:
a. Make an appropriate scatterplot for predicting click-through rate from the position. Describe what you see.
b. Use transformations to linearize the relationship. Does the relationship between click-through rate and position seem to follow an exponential model or a power model? Justify your answer.
c. Perform least-squares regression on the transformed data. Give the equation of your regression line. Define any variables you use.
d. Use your model from part (c) to predict the click-through rate for a website in the 11th position.
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