Statistics Questions from Nov 24,2024

Browse the Statistics Q&A Archive for Nov 24,2024, featuring a collection of homework questions and answers from this day. Find detailed solutions to enhance your understanding.

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Are phone calls equally likely to occur any day of the week? The day of the week for each of 602 randomly selected phone calls was observed. The results are displayed in the table below. Use an \( \mathrm{Q}=0.05 \) significance level. What is the hypothesis? The linear regression equation for a data set is \( \hat{y}=-4.1+1.6 x \). The actual value at \( x=15 \) is 21.7 . What is the residual value at \( x-15 \) ? residual: A study of the \( \mathrm{CO2} \) concentration and global temperature data found that the correlation between \( \mathrm{CO2} \) concentration and global temperature was 0.993 . Based on this correlation, it can be concluded that the increased level of \( \mathrm{CO2} \) concentration is causing global warming. false true Data was collected on the distance from runner's bellybuttons to the ground and the time it takes them to run 100 meters. \( r^{2}=0.87 \). Then \( 87 \% \) of runners with bellybuttons far from the ground will run faster than average. false true Hint: Help A regression analysis was performed to determine if there is a relationship between hours of TV watched per day \( (x) \) and number of sit ups a person can do \( (y) \). The results of the regression were: \( y=a x+b \) \( a--0.97 \) \( b-24.943 \) \( r^{2}-0.956484 \) \( r=-0.978 \) Use this to predict the number of sit ups a person who watches 13.5 hours of TV can do, and please round your answer to a whole number. A regression was run to determine if there is a relationship between hours of study per week \( (x) \) and the final exam scores \( (y) \). The results of the regression were: \( \begin{array}{l}y=a x+b \\ a-6.198 \\ b=33.79 \\ r^{2}-0.925444 \\ r=0.962\end{array} \) Use this to predict the final exam score of a student who studies 0.5 hours per week, and please round your answer to a whole number. The correlation coefficient, \( r \), is a number between \( -\infty \) and \( \infty \) 0 and 1 -10 and 10 -1 and 1 0 and \( \infty \) 0 and 100 0 and 10 The number of tickets, \( x \), sold for a concert is of interest to the box office manager. What values can \( x \) assume? Is \( x \) a discrete or continuous random variable? Is \( x \) a discrete or continuous random variable? discrete A researcher wishes to examine the relationship between years of schooling completed and the number of pregnancies in young women. Her rescarch discovers a linear relationship, and the least squares line is: \( \widehat{y}=\mathbf{3}-\mathbf{4 x} \) where \( x \) is the number of years of schooling completed and \( y \) is the number of pregnancies. The slope of the regression line can be interpreted in the following way: When amount of schooling increases by one year, the number of pregnancies tends to decrease by 3 . When amount of schooling increases by one year, the number of pregnancies tends to increase by 3 . When amount of schooling increases by one year, the number of pregnancies tends to decrease by 4 . Whent of schooling increases by one year, the number of pregnancies tends to increase by 4 . Classify the random variables below according to whether they are discrete or continuous. a. The net revenue for a particular firm b. The rate of return on a particular stock c. The percentage change in stockholder's equity d. The rate of return on a particular investment e. The net expenses for a particular firm f. The dollar value of stockholder's equity A. Is the net revenue for a particular firm discrete or continuous? B. discrete. because the variable can measured on an interval
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