a.Give the R code to assign the values in in the len column of ToothGrowth to the vector named x. (Easy-see above) 4.2, 11.5, 7.3, 5.8, 6.4, 10.0
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- Take this test to review the material in Chapters 4and Chapters 5. After you are finished, check your work against the answers in the back of the book. Write w=(7,2,4) as a linear combination of the vectors v1, v2 and v3 if possible. v1=(2,1,0), v2=(1,1,0), v3=(0,0,6)Take this test to review the material in Chapters 4 and 5. After you are finished, check your work against the answers in the back of the book. a Explain what it means to say that a set of vectors is linearly independent. b Determine whether the set S is linearly dependent or independent. S={(1,0,1,0),(0,3,0,1),(1,1,2,2),(3,4,1,2)}A study performed in 1984 examined the relationship between the price of gasoline in Great Britain and the distance driven by motorists. For a random sample of 15 months, the average price of gasoline was recorded ("Gas") as well as the total number of kilometers driven that month ("Drive"). This data is shown in the two vectors below. Drive=c(15220,15552,19205,16551,13885,20997,16909,19453,16758,16224,18308,15226,11196,13842,11823); Gas=c(0.0928,0.1152,0.118,0.117,0.0887,0.1201,0.1091,0.1245,0.1087,0.1178,0.1131,0.1048,0.0845,0.0893,0.101); a. Find the correlation between the price of gasoline and the total number of kilometers driven. _______________ Round to at least five decimals if necessary b. State the regression equation that expresses the total number of kilometers driven (Y) as a linear function of the price of gasoline (X). Give all decimals. Yi = _________ +/- _________ Xi c. Which is the correct interpretation of β1 in the above regression equation? As the price of…
- A clinical psychologist thinks that depression may affect sleep. She decides to test this idea. She monitored nine depressed clients and eight non-depressed clients for three successive nights. The average number of hours slept by each subject during the last two nights is recorded. The data for the two conditions are stored in the following vectors. depressedClients <- c(7.1, 6.8, 6.7, 7.3, 7.5, 6.2, 6.9, 6.5, 7.2)normalClients <- c(8.2, 7.5, 7.7, 7.8, 8.0, 7.4, 7.3, 6.5) Suppose we set αα to 0.05. If you conduct an appropriate tt-test to address the research question, which of the following is the upper critical tt-value that you can use in the test? A. 1.7531 B. 2.1315 C. 2.9467 D. 1.9590write the following vectors as linear combinations of e1, e2 and e3find the components of the vector P1P2. (a) P1(3,5) P2(2,8)