Historical data y x1 x2 X3 x4 249 24 23 91 101 232 30 21 89 95 276 45 25 88 111 291 59 26 87 89 290 65 25 90 95 299 72 25 93 98 287 79 24 88 96 306 85 26 86 97 284 74 24 88 111 281 61 24 91 104 291 51 26 90 99 255 39 23 89 97 The electric power consumed each month by a chemical plant is thought to be related to the average ambient temperature x₁, the number of days in the month x2, the average product purity as a percent x3, and the tons of product produced x4. The past year's historical data are available and are presented in the accompanying table. Complete parts (a) and (b) below. Click the icon to view the historical data. (a) Fit a multiple linear regression model using the data set. ŷ = 0 + O×₁ + O×2 + (1) ×3+ (1) ×4 (Round the constant to two decimal places as needed. Round all other values to four decimal places as needed.) (b) Predict power consumption for a month in which x₁ = 78°F, x2 = 26 days, x3 = 88%, and x4 = 108 tons. The predicted power consumption is ☐ . (Round to one decimal place as needed.)

Historical data y x1 x2 X3 x4 249 24 23 91 101 232 30 21 89 95 276 45 25 88 111 291 59 26 87 89 290 65 25 90 95 299 72 25 93 98 287 79 24 88 96 306 85 26 86 97 284 74 24 88 111 281 61 24 91 104 291 51 26 90 99 255 39 23 89 97 The electric power consumed each month by a chemical plant is thought to be related to the average ambient temperature x₁, the number of days in the month x2, the average product purity as a percent x3, and the tons of product produced x4. The past year's historical data are available and are presented in the accompanying table. Complete parts (a) and (b) below. Click the icon to view the historical data. (a) Fit a multiple linear regression model using the data set. ŷ = 0 + O×₁ + O×2 + (1) ×3+ (1) ×4 (Round the constant to two decimal places as needed. Round all other values to four decimal places as needed.) (b) Predict power consumption for a month in which x₁ = 78°F, x2 = 26 days, x3 = 88%, and x4 = 108 tons. The predicted power consumption is ☐ . (Round to one decimal place as needed.)

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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