A regression is an analysis of the independent factors that influence a dependent variable: a) True b) False
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Q: le. ification of the independent variable (discrete ur choice.
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A regression is an analysis of the independent factors that influence a dependent variable:
a) True
b) False
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- Three top-of-the line mid-sized automobiles have been test-driven and compared on a variety of criteria by a well-known automotive magazine. In the area of gasoline mileage performance, five automobiles of each brand were each test-driven 500 miles; the miles per gallon data obtained follow. What is the dependent variable? A B C 19 21 20 19 21 19 20 22 21 23 24 26 23 25 27A study of emergency service facilities investigated the relationship between the number of facilities and the average distance traveled to provide the emergency service. The following table gives the data collected. Number ofFacilities AverageDistance(miles) 9 1.65 11 1.11 16 0.83 21 0.62 27 0.51 30 0.48 (a) Develop a scatter diagram for these data, treating average distance traveled as the dependent variable. A scatter diagram has 6 points. The horizontal axis ranges from 0 to 1.8 and is labeled: Distance. The vertical axis ranges from 5 to 35 and is labeled: Number. Moving from left to right, the leftmost point is at approximately (0.48, 30), with the next five points extending downward. The points decrease steeply at first and then level off. A scatter diagram has 6 points. The horizontal axis ranges from 5 to 35 and is labeled: Number. The vertical axis ranges from 0 to 1.8 and is labeled: Distance. Moving from left to right, the leftmost point is at…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 places
- A researcher wants to make an equation that will predict a person's support for domestic surveillance from a variety of demographic characteristics (e.g., age, income). What method will they use? A) Multiple regression B) Correlation C) Two-factor ANOVA D) One-sample t-testQ12 a) Construct a regression model to determine the relationship between individual yearly income and the value of the car owned. b) Using the regression equation from (a) determine the value of the car if the yearly income is $40,000 c) Describe the relationship between yearly income and value of the car owned d) Identify the independent variable and dependent variable based on the regression model constructed in (a) e) Explain why it is incorrect to predict the value of the car if an individual income is $10,000A researcher in Alaska measured the age (in months) and the weight (in pounds) of a random sample of adolescent moose. When the least-squares regression analysis was performed, the correlation was 0.59. Which of the following is the correct way to label the correlation? a) 0.59 months per poundb) 0.59 pounds per monthc) 0.59d) 0.59 months times poundse) 0.59 month pounds
- In a simple linear regression analysis (where y is a dependent and x an independent variable), if the y-intercept is positive, then a) there is a positive correlation between x and y. b) if y is increased, x must also increase. c) if x is increased, y must also increase. d) the estimated regression line intercepts the positive y-axis.A group of researchers measured how funny people rated a cartoon when they were in one of two groups: holding a pen in their teeth (forcing them to smile) or holding a pen in their lips (forcing them to frown). For this study, identify the independent variable and the dependent variable. Justify your response.Which of the following denotes the slope or the regression coefficient for X? A) The term a B) The term b C) The error term D) The correlation coefficient, r
- In linear regression analysis, the coefficient for the x-variable when the y-variable is regressed on the x-variable can be thought of as: Note: more than one answer may be correct Group of answer choices How much the value of the predicted y-variable will change when the x-variable changes by one unit. In the simple (two variable) linear regression model, the coefficient can be thought as the slope coefficient that measures the responsiveness of y to changes in x. The estimated coefficient will change if the sample containing x and y changes. The sample coefficient is an estimate of the population coefficient Before interpreting the coefficient for the x-variable, we should test whether the coefficient is statistically significant.The coefficient of determination (r2) is a measure of the: a.) amount of variance in the dependent variable explained by the independent variable. b.) correlation between two variables. c.) variability of the dependent measure. d.) slope of a regression line.Ten observations were provided for a dependent variable y and two independent variables x1 and x2; for these data,