In which of these pairs of variables should the independent variable be interchanged with its dependent variable?
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The following are pairs of independent variables and their corresponding dependent variables.
In which of these pairs of variables should the independent variable be interchanged with its dependent
variable?
Independent variable (x) Dependent variable (y)
A. Daily temperature Electricity consumption
B. Annual salary Number of vacations taken
C. Number of exams passed Amount of time spent studying
D. Alcohol consumption by drivers Number of accidents by those drivers
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- Find the equation of the regression line for the following data set. x 1 2 3 y 0 3 4Which of the following refers to the scenario in which the relationship between the dependent variable and one independent variable is different at different values of a second independent variable?For each of the following situations, state the independent variable and the dependent variable. a. A study is done to determine if elderly drivers are involved in more motor vehicle fatalities than other drivers. The number of fatalities per 100,000 drivers is compared to the age of drivers. b. A study is done to determine if the weekly grocery bill changes based on the number of family members. c. Insurance companies base life insurance premiums partially on the age of the applicant. d. Utility bills vary according to power consumption. e. A study is done to determine if a higher education reduces the crime rate in a population.
- A doctor notes the variables listed in the following table from every patient before admitting in his hospital. Which of the following variables are qualitative and which are quantitative? Which qualitative variables are nominal or ordinal? Which quantitative variables are discrete or continuous? ( 1 ) Gender (Male or Female) ( 2 ) Weight (lbs) ( 3 ) Phone Number ( 4 ) Height (cm) ( 5 ) Marital Status (Single, Married, Divorce, Widow) ( 6 ) Systolic Blood Pressure (mm of pressure) ( 7 ) Temperature (degree F) ( 8 ) Level of Calcium (microgram/milimeter) ( 9 ) Family of Income ( Amount) ( 10 ) Wihte Blood CellsYour younger brother, a fourth form practical geography student wishes to test whether there could be some relationship between annual visits to a local market by all residents surrounding that market. After a well-designed field study he obtains the following figures: Number of visits per year 21 13 19 18 17 17 14 20 10 11 Residence distance from market (KM) 1.0 2.0 3.0 4.0 5.0 6.0 7.0 8.0 9.0 10.0 From the information above, what is the dependent variable and what is the explanatory variable? Using (i) above, obtain the regression equation of Yi on Xi. Hence, estimate the residence distance from the market (in KM) if the number of visits are 16 visits Sketch your results in (ii) above. What conclusion can you draw from your sketch?Because the data in this chart are displayed as a line with no data point markers, this indicates that the dependent variable data are A) Measured (or Empirical), Numeric B) Theoretical (or Calculated), Numeric C) Measured (or Empirical), Categorical D) Theoretical (or Calculated), Categorical
- The following data was collected to explore how the average number of hours a student studies per night and the student's GPA affect their ACT score. The dependent variable is the ACT score, the first independent variable (x1�1) is the number of hours spent studying, and the second independent variable (x2�2) is the student's GPA. Effects on ACT Scores Study Hours GPA ACT Score 55 44 3030 44 33 3030 33 33 1919 33 33 1818 22 22 1818 Copy Data Step 1 of 2 : Find the p-value for the regression equation that fits the given data. Round your answer to four decimal placesThe following data was collected to explore how the average number of hours a student studies per night and the student's GPA affect their ACT score. The dependent variable is the ACT score, the first independent variable (x1x1) is the number of hours spent studying, and the second independent variable (x2x2) is the student's GPA. Effects on ACT Scores Study Hours GPA ACT Score 55 44 3030 55 33 3030 44 33 2828 22 33 2222 11 22 2020 Step 1 of 2: Find the p-value for the regression equation that fits the given data. Round your answer to four decimal places. Step 2 of 2: Determine if a statistically significant linear relationship exists between the independent and dependent variables at the 0.050.05 level of significance. If the relationship is statistically significant, identify the multiple regression equation that best fits the data, rounding the answers to three decimal places. Otherwise, indicate that there is not enough evidence to show that the relationship…A_____________ is used to help us to see what type ofrelation, if any, may exist between two variables.
