When evaluating model y = Bo + B,x + ɛ, the smaller the p-value is in testing B,, the stronger the linear relationship is between x and y. True False
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- A study was conducted to see if a person's income will affect their well-being. We want to create a model with Y = well-being index, and X = income in $1,000. The dependent variable in this study is: Income in $1,000 Well-being index NeitherBelow is the output from regression. Use the p-value and decide if the equation is good to use for forecasting. Group of answer choices A.) p-value = 82 - equation is good to use B.) p-value = 0.15 - equation is not good to use C.) p-value = 0.18 - equation is not good to use D.) p-value = -16 - equation is good to useTo determine if additional shelf space to the store brand canned vegetables or increasing advertising expenditures would be more effective strategy to expand sales would I use a simple linear model, multiple linear regression or an interaction model? What equation would I use
- you take a bar of soap and weigh it after each shower. will the regression line be positive or negativeCan subpoints d to f be explained pleasedUse the model to make the appropriate prediction. A sociologist wanted to determine whether there was a relation between a state's poverty rate (x) and its teen pregnancy rate (y). Data from all 50 states produced the regression model: yˆ=4.3+1.4(x) What does the model suggest for the poverty rate of Florida, which has a poverty rate of 16.6? a) 9.2% b) 27.5% c) 12.9% d) 17% e) 22.4%
- 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.The data show the number of felony convictions, in hundreds, and the crime rate, in crimes per 100,000, for seven randomly selected states. For the given data, a. determine the correlation coefficient between the number of felony convictions and the crime rate, (b) find the equation of the regression line, (c) approximate what crime rate can we anticipate in a state that has 12 hundred felony convictions.Felony convictions: 11.4, 8.1, 6.7, 3.4, 2.4, 2.3, 0.4Crime rate/ 100,000: 12, 9.5, 10.4, 9, 4.2, 5.5, 3.3 A. a. r = 0.906 b. y = 3.85x + 0.777 c. 47 B. a. r = 0.906 b. y = 0.777x + 3.85 c. 13.2 C. a. r = -0.906 b. y = 0.777x - 3.85 c. 5.5 D. a. r = -0.906 b. y = -0.777x + 3.85 c. 5.5A student used multiple regression analysis to study how family spending (y) is influenced by income (X1), family size (x2), and additions to savings (x3). The variables y, x1, and x3 are measured in thousands of dollars. The following results were obtained.
- The table below shows the number of state-registered automatic weapons and the murder rate for several Northwestern states. X 11.3 y 13.3 10.9 9.9 8.4 6.8 3.9 2.8 2.4 2.5 7 6.7 6.4 6.3 x = thousands of automatic weapons y = murders per 100,000 residents This data can be modeled by the equation ŷ = 0.79x + 4.32. Use this equation to answer the following. Answer = 12.829 0.9 5 A) How many murders per 100,000 residents can be expected in a state with 10.1 thousand automatic weapons? Answer = 6.123 x Round to 3 decimal places. B) How many murders per 100,000 residents can be expected in a state with 2.7 thousand automatic weapons? x Round to 3 decimal places.A marketing consultant created a linear regression model to predict the number of units sold by a client based on the amount of money spent on marketing by the client. Which of the following is the best graphic to use to evaluate the appropriateness of the model?It is a model that shows or predict the relationship between two variables. A. Linear Regression B. Correlation Coefficient C. Statistics D. Cryptography
