In the linear regression equation y = -2x + 3, it shows that A. as x increases, y also increases B. as x increases, y moves constantly C. as x increases, y moves independently D. none of these E. as x increases, y decreases
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In the linear regression equation y = -2x + 3, it shows that
A. as x increases, y also increases
B. as x increases, y moves constantly
C. as x increases, y moves independently
D. none of these
E. as x increases, y decreases
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- Does the equation y=2.294e0.654t representcontinuous growth, continuous decay, or neither?Explain.In the linear regression equation,Y= 3(X) + 1, When X increases by 4 Points, why will increase by____ 4 point 13 points 12 points 7 pointsUse the following linear regression equation to answer the questions. x3 = −16.2 + 4.5x1 + 10.0x4 − 1.4x7 Which variables are the explanatory variables? (Select all that apply.) x7x4x3x1 (b) Which number is the constant term? List the coefficients with their corresponding explanatory variables. constant x1 coefficient x4 coefficient x7 coefficient (c) If x1 = 6, x4 = -2, and x7 = 4, what is the predicted value for x3? (Round your answer to one decimal place.)x3 =
- A biologist wants to predict the height of male giraffes, y, in feet, given their age, x1, in years, weight, x2, in pounds, and neck length, x3, in feet. She obtains the multiple regression equation yˆ=7.36+0.00895x1+0.000426x2+0.913x3. Predict the height of a 12-year-old giraffe that weighs 3,100 pounds and has a 7-foot-long neck, rounding to the nearest foot.Use the following linear regression equation to answer the questions. x1 = 1.7 + 3.9x2 – 8.5x3 + 2.2x4 Which variables are the explanatory variables? (Select all that apply.) x2x4x1x3 (b) Which number is the constant term? List the coefficients with their corresponding explanatory variables. constant ? x2 coefficient ? x3 coefficient ? x4 coefficient ? (c) If x2 = 6, x3 = 7, and x4 = 4, what is the predicted value for x1? (Use 1 decimal place.) Suppose x3 and x4 were held at fixed but arbitrary values and x2 increased by 1 unit. What would be the corresponding change in x1? Suppose x2 increased by 2 units. What would be the expected change in x1? Suppose x2 decreased by 4 units. What would be the expected change in x1? (e) Suppose that n = 18 data points were used to construct the given regression equation and that the standard error for the coefficient of x2 is 0.454. Construct a 99% confidence interval for the coefficient of x2. (Use 2 decimal places.) lower limit ?…Use the following linear regression equation to answer the questions. x1 = 2.0 + 3.6x2 – 7.8x3 + 2.1x4 a) Which variables are the explanatory variables? (Select all that apply.) x3 x1 x2 x4 (b) Which number is the constant term? List the coefficients with their corresponding explanatory variables. constant _____ x2 coefficient _____ x3 coefficient _____ x4 coefficient ______ (c) If x2 = 9, x3 = 3, and x4 = 6, what is the predicted value for x1? (Use 1 decimal place.)
- Based on an observational study, a clinical psychologist finds that the relationship between the number of weeks spent in a therapy hospital and number of seizures per week can be described by the following equation: seizures per week = 14.09 - 0.91 x weeks in hospital The R2 for this model is 0.90, and you can assume that all of the conditions for linear regression to be valid have been met. Suppose that you use this model to predict the number of seizures per week for a patient who has been at the hospital for 20 weeks. What is the predicted number of seizures per week for that patient?Given the regression equation: Yhat = 4.5 + 67X + 32D, where D is a dummy variable with D=1 if observation is female and D=0 if male. Y is online shopping expenses per month, in hundereds of pesos . What does the coefficient 32 mean?For the regression equation, Y = 2X – 3, if X = 7 what is the predicted Y?
- Use the following linear regression equation to answer the questions. x3 = −15.4 + 4.0x1 + 8.2x4 − 1.2x7 (d)Suppose x1 and x7 were held at fixed but arbitrary values.If x4 increased by 1 unit, what would we expect the corresponding change in x3 to be?If x4 increased by 3 units, what would be the corresponding expected change in x3?If x4 decreased by 2 units, what would we expect for the corresponding change in x3?(e) Suppose that n = 14 data points were used to construct the given regression equation and that the standard error for the coefficient of x4 is 0.917. Construct a 90% confidence interval for the coefficient of x4. (Round your answers to two decimal places.) lower limit upper limit (f) Using the information of part (e) and level of significance 5%, test the claim that the coefficient of x4 is different from zero. (Round your answers to two decimal places.) t = t critical = ±Use the following linear regression equation to answer the questions. X1=1.9+3.6x2-7.5x3+2.1x4 a) which number is the constant term? List the coefficients with their corresponding explanatory variables. constant=x2 coefficient =x3 coefficient =x4 coefficient =b) If x3 and x4 were held at fixed but arbitrary values and x2 increased by 1 unit. What would be the corresponding change in x1? suppose x2 increased by 2 units. What would be the expected change in x1? suppose x2 decreased by 4 units. What would be the expected change in x1? c) Suppose that n=13 data points were used to construct the given regression equation and that the standard error for the coefficient of x2 is 0.433. Construct a 95% confidence interval for the coefficient of x2. (Use 2 decimal places)Suppose that in a certain chemical process the reaction time y (hr) is related to the temperature (°F) in the chamber in which the reaction takes place according to the simple linear regression model with equation y = 5.10 − 0.01x and ? = 0.07. (a) What is the expected change in reaction time for a 1°F increase in temperature? For a 12°F increase in temperature? 1°F increase hr 12°F increase hr (b) What is the expected reaction time when temperature is 190°F? When temperature is 240°F? 190°F hr 240°F hr (c) Suppose five observations are made independently on reaction time, each one for a temperature of 240°F. What is the probability that all five times are between 2.58 and 2.82 hours? (Round your answer to four decimal places.)(d) What is the probability that two independently observed reaction times for temperatures 1° apart are such that the time at the higher temperature exceeds the time at the lower temperature? (Round your answer to four decimal…
