NOT ANSWER B Q8. Calculator required.In a regression study to estimate the lineY = aX + busing a sample of X and Y values, the following statistics were obtained:n= 10, ΣΧY -200; ΣΧ = 25 ; ΣΥ = 40; Σ χ2 162.5What are the estimates of the slope, a and intercept, b using the formulae:ηΣΧΥ-ΣΧΣΥb =a =Y –bX ;"EX-(EX)A. a = 1.5, b = 1B. a = -5, b = 0 C. a= 0; b = 0.6 D. a = 2, b = - 0.6.O A. AО В. ВС. СO D. D

We have given that Regression equation Y= aX + b Sample size n =10 Where a = slope and b=…

Answered: Q8. Calculator required. In a…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter7: Analytic Trigonometry

Section7.6: The Inverse Trigonometric Functions

Problem 93E

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Find the equation of the regression line for the following data set. x 1 2 3 y 0 3 4
The following fictitious table shows kryptonite price, in dollar per gram, t years after 2006. t= Years since 2006 0 1 2 3 4 5 6 7 8 9 10 K= Price 56 51 50 55 58 52 45 43 44 48 51 Make a quartic model of these data. Round the regression parameters to two decimal places.
bThe average rate of change of the linear function f(x)=3x+5 between any two points is ________.
For the following exercises, consider this scenario: The profit of a company decreased steadily overa ten-year spam.The following ordered pairs shows dollars and the number of units sold in hundreds and the profit in thousands ofover the ten-year span, (number of units sold, profit) for specific recorded years: (46,600),(48,550),(50,505),(52,540),(54,495). Use linear regression to determine a function Pwhere the profit in thousands of dollars depends onthe number of units sold in hundreds.
Regression analysis was applied between sales data (in $1000s) and advertising data (in $100s), and the following information was obtained. ŷ = 12 + 1.8x n = 17 SSR = 225 SSE = 75 Sb1 = 0.2683 Refer to Exhibit 14-3. Using α = .05, the critical t value for testing the significance of the slope is _____. a. 1.746 b. 2.131 c. 2.120 d. 1.753
19. "A set of n = 50 pairs of X and Y scores has SSX = 39.73, SSY = 23.48, and SP = 42.91. What is the slope for the regression equation for predicting Y from X?"
A researcher has developed the regression equation ŷ = 2.164 + 1.3657x, where n = 6, the mean of x is 8.667, Sxx = 89.333, and Se = 3.44. The researcher wants to test if the slope is significantly positive, and he chooses a significance level of 0.05. The observed t value is ______. a) 3.852 b) 3.972 c) 3.985 d) 3.752 e) 3.995
Given are five observations for two variables, x and y.xi 1 2 3 4 5yi 4 5 5 10 14 Which of the following scatter diagrams accurately represents the data?a. b. c. a. Develop the estimated regression equation by computing the slope and the y intercept of the estimated regression line (to 1 decimal).ŷ = + xb. Use the estimated regression equation to predict the value of y when x = 4 (to 1 decimal).ŷ =
Given are five observations for two variables, x and y. xi 1 2 3 4 5 yi 3 8 6 10 13 (d) Develop the estimated regression equation by computing the values of b0 and b1 using b1 = Σ(xi − x)(yi − y) Σ(xi − x)2 and b0 = y − b1x. ŷ = (e) Use the estimated regression equation to predict the value of y when x = 2.
Consider the following data set, where yy is the final grade in a math class and xx is the average number of hours the student spent working on math each week. hours/weekx Gradey 5 58 8 63.2 8 73.2 9 68.6 9 70.6 11 68.4 13 81.2 14 86.6 17 100 20 100 The regression equation is y=3.04⋅x+42.33y=3.04⋅x+42.33.Explain what the value of the slope means in this situation, where yy is the final grade in a math class and xx is the average number of hours the student spent working on math each week.Explain what the value of the y-intercept means in this situation.What is the predicted value for the final grade when a student spends an average of 15 hours each week on math?Grade = Round to 1 decimal place.
The following table shows the annual expenditures, in dollars, per customer unit for residential landline phone services and cellular phone services in the United States in the given year.† Year Landline Cell 2004 592 378 2006 542 524 2008 467 643 2010 401 760 Calculate the regression line for each type of service. (Let t be the time in years since 2004, L be the operating revenue of landline phone services and C be the expenditure of cellular services. Round your regression parameters to two decimal places.) L(t) = C(t) = Determine the expenditure level at which the two lines cross. Round your answer for the expenditure level to one decimal place. million dollars

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