e. your answer. A student would like to test that contribution of gender in wage is 1 \$ per hour and that contributio of one year of education is two times greater than one year of experience. What is the appropriate expression for the joint hypothesis? a. \( \quad\left(\begin{array}{llll}0 & 1 & 0 & 0 \\ 0 & 0 & -2 & 1\end{array}\right)\left(\begin{array}{l}\beta_{1} \\ \beta_{2} \\ \beta_{3} \\ \beta_{4}\end{array}\right)=\binom{1}{0} \quad \) b. \( \quad\left(\begin{array}{cccc}1 & 0 & 0 & 0 \\ 0 & 1 & 0 & 0 \\ 0 & 0 & 1 & 0 \\ 0 & 0 & 0 & -2\end{array}\right)\left(\begin{array}{l}\beta_{1} \\ \beta_{2} \\ \beta_{3} \\ \beta_{4}\end{array}\right)=\left(\begin{array}{l}0 \\ 1 \\ 0 \\ 0\end{array}\right) \)

\#3 A set of data has correlation coefficient \( r \). For which value of \( r \) would the average magnitude of the residuals be the largest? a. \( r=-0.516 \) b. \( r=-0.445 \) c. \( r=0.875 \) d. \( r=0.158 \)

Find the mean for the following group of data items. \[ 7.4,5.7,9.2,6.8,2.2,2.5,9.5,6.5,7.2,5.6,1.2 \] The mean is \( \square \). (Round to 3 decimal places as needed.)

Determine whether the following statement makes sense or does not make sense. Although the data set \( 5,5,6,6,6,7,7,7 \) has a number of repeated items, there is only one mode. Choose the correct answer below. A. The statement does not make sense because there are no modes in the data set. B. The statement makes sense because there is 1 mode in the data set. C. The statement does not make sense because every value is a mode in the data set. D. The statement does not make sense because there are 2 modes in the data set.

Determine whether the statement is true or false. If the statement is false, make the necessary change(s) fo produce a true statement. When finding the mean, it is necessary to arrange the data items in order. Choose the correct answer below. A. The statement is true. B. The statement is false. To make the statement true, change "mean" to "median", C. The statement is false. To make the statement true, change "mean" to "mode", D. The statement is false. To make the statement true, change "mean" to "median" and add "not" between "is" and "necessary",

\#2 A survey was taken comparing the number of hours per week students spent studying and their performance on an exam. If a linear regression was performed and the correlation coefficient was -0.017 , what can be said about these results? a. As the number of hours spent studying increases, student exam performances will likely not change. b. As the number of hours spent studying inrceases, student exam performances will probably increase. c. As the number of hours spent studying increases, student exam performances will probably decrease. d. There is little evidence of a linear relationship between the number of hours spent studying and student exam performances.