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HW5 1) The number of pounds of steam used per month by a chemical plant is thought to be related to the average ambient temperature (in F) for that month. The past year's usage and temperatures are in the following table: Month Jan. Feb. Mar. Apr. May June Temp. 21 24 32 47 50 59 Usage/ 1000 185.79 214.47 Month Temp. July. 68 Aug. 74 288.03 Sept. 62 Oct. 50 424.84 454.58 Nov. 41 539.03 Dec. 30 Usage/ 1000 621.55 675.06 562.03 452.93 369.95 273.98 a) Assuming that a simple linear regression model is appropriate, fit the regression model relating stem usage (y) to the average temperature (x). What is the estimate of o2? b) What is the estimate of expected stem usage when the average temperature is 55 F? c) What change in mean stem usage is expected when the monthly average temperature changes by 1 F? d) Suppose that the monthly average temperature is 47 F. Calculate the fitted value of y and the corresponding residual. e) Test for significance of regression using a-0.01 (Use ANOVA). f) Calculate the r' of the model. g) Find a 99% CI for ₁.

HW5 1) The number of pounds of steam used per month by a chemical plant is thought to be related to the average ambient temperature (in F) for that month. The past year's usage and temperatures are in the following table: Month Jan. Feb. Mar. Apr. May June Temp. 21 24 32 47 50 59 Usage/ 1000 185.79 214.47 Month Temp. July. 68 Aug. 74 288.03 Sept. 62 Oct. 50 424.84 454.58 Nov. 41 539.03 Dec. 30 Usage/ 1000 621.55 675.06 562.03 452.93 369.95 273.98 a) Assuming that a simple linear regression model is appropriate, fit the regression model relating stem usage (y) to the average temperature (x). What is the estimate of o2? b) What is the estimate of expected stem usage when the average temperature is 55 F? c) What change in mean stem usage is expected when the monthly average temperature changes by 1 F? d) Suppose that the monthly average temperature is 47 F. Calculate the fitted value of y and the corresponding residual. e) Test for significance of regression using a-0.01 (Use ANOVA). f) Calculate the r' of the model. g) Find a 99% CI for ₁.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 94E
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Can you review the attached statistics homework and advise if there are errors we can discuss. Thank you.

( MSC 600 Quantitative Methods HW5 1) The number of pounds of steam used per month by a chemical plant is thought to be related to the average ambient temperature (in F) for that month. The past year's usage and temperatures are in the following table: 2 Month Temp. 21 24 32 47 Jan. Feb, Mar. Apr. May June - 9.21°F 50 59 2.79 = -6.34 + 9.21 (55) (500.12) Usage/ 1000 185.79 214.47 July. Aug. 288.03 Sept. 424.84 454.58 Oct. Nov. 539.03 Dec. a) Assuming that a simple linear regression model is appropriate, fit the regression model relating stem usage (y) to the average temperature (x). What is the estimate of o²? What is the estimate of expected stem usage when the average temperature is 55 F? b) c) What change in mean stem usage is expected when the monthly average temperature changes by 1 F? d) Suppose that the monthly average temperature is 47 F. Calculate the fitted lue of y and the corresponding residual. e) Test for significance of regression using a-0.01 (Use ANOVA). f) Calculate the r' of the model. g) Find a 99% CI for ₁. X = 47, 4 = 424.8५ p-volue ≤.01. (.00) Bonnie Shaw Page 1 Month Temp. 68 74 62 50 41 30 SSR= 280583.12 (see attached page). Usage/ 1000 SST 621.55 675.06 562.03 452.93 369.95 273.98 Filted votre y = 426,45), y=y= (-1.62 (residual) Because p-value ≤ &.01, Reject to and accept HA w/ 990% confidence. (see attached page for ANOVA) = 280620.87 LA COLLEGE OF BUSINESS R²= SSR SST 1.00
Transcribed Image Text:( MSC 600 Quantitative Methods HW5 1) The number of pounds of steam used per month by a chemical plant is thought to be related to the average ambient temperature (in F) for that month. The past year's usage and temperatures are in the following table: 2 Month Temp. 21 24 32 47 Jan. Feb, Mar. Apr. May June - 9.21°F 50 59 2.79 = -6.34 + 9.21 (55) (500.12) Usage/ 1000 185.79 214.47 July. Aug. 288.03 Sept. 424.84 454.58 Oct. Nov. 539.03 Dec. a) Assuming that a simple linear regression model is appropriate, fit the regression model relating stem usage (y) to the average temperature (x). What is the estimate of o²? What is the estimate of expected stem usage when the average temperature is 55 F? b) c) What change in mean stem usage is expected when the monthly average temperature changes by 1 F? d) Suppose that the monthly average temperature is 47 F. Calculate the fitted lue of y and the corresponding residual. e) Test for significance of regression using a-0.01 (Use ANOVA). f) Calculate the r' of the model. g) Find a 99% CI for ₁. X = 47, 4 = 424.8५ p-volue ≤.01. (.00) Bonnie Shaw Page 1 Month Temp. 68 74 62 50 41 30 SSR= 280583.12 (see attached page). Usage/ 1000 SST 621.55 675.06 562.03 452.93 369.95 273.98 Filted votre y = 426,45), y=y= (-1.62 (residual) Because p-value ≤ &.01, Reject to and accept HA w/ 990% confidence. (see attached page for ANOVA) = 280620.87 LA COLLEGE OF BUSINESS R²= SSR SST 1.00
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