Scientific Inquiry: read the following hypothetical scenario…
Questions
Scientific Inquiry: reаd the fоllоwing hypоtheticаl scenаrio - then answer the questions below. In a hypothetical situation, you notice that squirrels have been more prevalent in your backyard this past year. You wonder if it has anything to do with the plum tree you planted last year in place of a lemon tree You decide to investigate further and test the following: “Squirrels are more attracted to the fruit of plum trees as compared to the fruit of lemon trees" You plant 5 fruiting plum and 5 fruiting lemon trees in your backyard. For one hour each day, for one month, you monitor the "traffic" at your fruit trees, and count the number of squirrels from the same backyard population that visit and eat fruit from each tree. At the end of the month you tally the number of "squirrel visits" at each type of tree. At the end of the test, you analyze the final data and deduce that the data does indeed support your hypothesis. Use the terms in the chart below to answer the following questions for the above hypothetical situation. Dependent Variable Experimental Group Observations Control Group Independent Variable Standardized Variables Placebo Hypothesis Conclusion For each of the statements below: Copy and paste from the list above (or type the word or term exactly as you see it in the word bank as this will be auto-graded and spelling counts) a. Each test group had 5 trees in the experiment, each test group was monitored for 1 hour each day for a month, the population of squirrels in the backyard was the same. These factors in the experiment are called the [Standardized] b. The group of trees (lemon) you are using as a comparison to your test group of trees (plum), is called the [Control] c. The results of the experiment: counting and tallying the number of squirrels that visited and ate fruit from each tree type at the end of your experiment is the [Dependent] d. You deduce that "the data does support my hypothesis". This is called the [Conclusion] e. The tree type you are testing (plum) is called the [Independent] f. “Squirrels are more attracted to the fruit of plum trees as compared to the fruit of lemon trees" This statement is called a(an) [Hypothesis]
Cоnsider the system оf lineаr equаtiоns: x_1+3x_2+x_3+x_4=3 2x_1-2x_2+ x_3+2x_4=8 3x_1+ x_2+2x_3 -x_4=-1. I. (а) Write the corresponding augmented matrix. (b) Do suitable row operations so that first column is all zero except for the entry in the first row. (5 points each). II. (a) Complete computing an echelon form for the above matrix. (10 points) (b) Find all possible solutions . (5 points) (c) How many solutions are there? Which are the basic variables and which are the free variables, if any? (5 points)