Math 0132 Tutorial 3 Worksheet: Quadratic and Higher Degree Polynomial Functions(Unit 2, ch. 3 and 4)1. Find a Regression Model for income as a function of age in a Vancouver Island communityX, age in years (wherex=0 represents age 20)y, median yearlyincome before tax22000380001048000156200020680002572000307400035740004065000Follow the instructions on page 63 of your text and write the quadratic model:and the value of R? (correlation coefficient):How do we know that the quadratic model is a better correlation than the linear model from Tutorial 2?Discuss why the quadratic model is more logical in this problem context.

Trend is used to predict the variable over a period of time. It can be calculated using the various…

Answered: 1. Find a Regression Model for income…

MATLAB: An Introduction with Applications

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Multiple regression analysis was used to study how an individual's income (Y in thousands of dollars) is influenced by age (X1 in years), level of education (X2 ranging from 1 to 5), and the person's gender (X3 where 0 =female and 1=male). The following is a partial result of computer output that was used on a sample of 20 individuals. Present the estimated regression equation and compute the coefficient of determination. Explain it. Use the t test to determine the significance of each independent variable. Let α = 0.05. (For each test, give the null and alternative hypotheses, test statistic, and conclusion.) Use the F test to determine whether or not the regression model is significant. Let α = 0.05. (For the test, give the null and alternative hypotheses, test statistic, and conclusion.) Does the estimated regression equation provide a good fit for the observed data? Explain it. Suppose a new person with X1=40, X2=4, X3=0. Use the estimated regression equation in part (a)…
Find the equation of the regression line for the given data. Then construct a scatter plot of the data and draw the regression line. (The pair of variables have a significant correlation.) Then use the regression equation to predict the value of y for each of the given x-values, if meaningful. The number of hours 6 students spent for a test and their scores on that test are shown below. Hours spent studying, x Test score, y 5. 72 (a) x=4 hours (c) x= 13 hours (b) x=25 hours (d) x=1.5 hours 38 43 51 48 64 Find the regression equation. (Round the slope to three decimal places as needed. Round the y-intercept to two decimal places as needed.)
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(a): Your answer is incorrect. A real estate company wants to study the relationship between house sales prices and some important predictors of sales prices. Based on data from recently sold homes in the space, the following variables are used in a multiple regression model. y sales price (in thousands of dollars) X1 = total floor area (in square feet) x₂ = number of bedrooms X3 = distance to nearest high school (in miles) The estimated model is as follows. y = 121 +0.083x₁ +23x₂−4x3 Answer the questions below for the interpretation of the coefficient of x₁ in this model. (a) Holding the other variables fixed, what is the average change in sales price for each 100-square-foot increase in floor area? 8.3 dollars (b) Is this change an increase or a decrease? increase decrease
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1.2. In order to prepare the dataset for modelling, it became clear that RATIO repeats with similar values. The analyst decided to regard them also as categorical variables. Amend the dataset fully in order to build a regression model. Use an ascending order in the coding structure. 1.3. Show the new amended data set and formulate the regression model that must be estimated. Apply all the changes done to the dataset in Question 1.2 and give the regression function. 1.4. The estimated response function is obtained using the coding structure of Question 1.2. Ŷ = 1.34 + 0.034X₁ + 0.049 X₂ -0.041 X3 + 0.029X4 +0.011 X5 +0.08X6. Explain the regression coefficients b₁, b, and b. 1.5. Find the fitted response function for the rotational METHOD of farming on a farm with RATIO of 0.8. 1.6. Refer to Question 1.5. The analyst has a suspicion that there is interaction between the size and the age of the farm if the method of farming is rotational and the field/land ratio is 0.8. Give the response…
2 A regression was run to determine if there is a relationship between hours of TV watched per day (x) and number of situps a person can do (y). The results of the regression were: y=ax+b a=-1.269 b=38.42 2-0.839056 r=-0.916 Use this to predict the number of situps a person who watches 5.5 hours of TV can do (to one decimal place) Question Help: Video Message instructor Submit Question Jump to Answer MacBook Air 80 888 F4 W S *3 # E D $ 4 C R F % 5 F5 V T () > 6 G Y B & 7 Ja F7 H U 2 00 8 N Dil FB 9 K M
Find the equation of the regression line for the given data. Then construct a scatter plot of the data and draw the regression line. (Each pair of variables has a significant correlation.) Then use the regression equation to predict the value of y for each of the given x-values, if meaningful. The caloric content and the sodium content (in milligrams) for 6 beef hot dogs are shown in the table below. (a) x= 160 calories (c) x = 140 calories (b) x = 100 calories (d) x= 200 calories 130 90 180 Calories, x Sodium, y 150 170 130 410 460 350 360 280 530 Find the regression equation. (Round to three decimal places as needed.)
The table shows the average weekly wages (in dollars) for state government employees and federal government employees for 8 years. The equation of the regression line is y = 1.405x – 12.307. Complete parts (a) and (b) below. Average Weekly Wages (state), x Average Weekly Wages (federal), y 751 760 791 817 835 881 924 951 1002 1047 1115 1149 1195 1250 1269 1300 (a) Find the coefficient of determination and interpret the result. 12 =O
A researcher calculates a regression equation to predict an insurance premium based on a person's age. One person in the sample was observed to have a premium of $500 at 20 years old, but the predicted value was $400. VWhat is the value of the residual for this person? Next Page Page 10 of 14
What is the interpretation of the intercept regression coefficient in a regression model? A. The change in X for a unit increase of Y B. The change in Y for a unit increase of X C. The estimated value of the dependent variable when X takes the value 1 D. The estimated value of the dependent variable when X takes the value 0
(Medicare). The annual expenditures for Medicare (in billions of dollars) by the US Government for selected years since 1980 are shown in Table 4. Let x represent the years since 1980. (Use 4 decimal places in all answers.) Table 4: Medicare Expenditures Year Billion $ 1980 37 1985 72 1990 111 1995 181 2000 197 2005 330 A. Find the exponential regression model for the data.M(x) = B. What is the r2 value for this model?r2 = C. Extimate (to the nearest billion) the expenditures in 2008?The Medicare expenditures in 2008 were about $ billion.

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