Following is a portion of the computer output for a regression analysis relating y = maintenance expense (dollars per month) to x = usage (hours per week) of a particular brand of computer terminal. Analysis of Variance. SOURCE ŷ= DF Adj SS Regression 1 1575.76 8 349.14 9 1924.90 Error Total Predictor Constant X O Regression Equation Y 6.1092 +0.8951 X (a) Write the estimated regression equation. OHO: B₁ 20 1 H₂: B₁ <0 Coef 6.1092 0.8951 OHO: B₁ #0 Ha: B₁ = 0 (b) Use a t test to determine whether monthly maintenance expense (dollars per month) is related to usage (hours per week) at the 0.05 level of significance. State the null and alternative hypotheses. O Ho: Po #0 Hộ Roo = SE Coef 0.9361 0.1490 = 0 Ho: Po Ha: Bo 0 Adj MS 1575.76 43.64 Ho: P₁ = 0 H₂: B₁ * 0 Find the value of the test statistic. (Round your answer to two decimal places.) Find the p-value. (Round your answer to three decimal places.) p-value= State your conclusion. O Do not reject Ho. We cannot conclude that the relationship between maintenance expense (dollars per month) and usage (hours per week) is significant. O Reject Ho. We cannot conclude that the relationship between maintenance expense (dollars per month) and usage (hours per week) is significant. Reject Ho. We conclude that the relationship between maintenance expense (dollars per month) and usage (hours per week) is significant. O Do not reject Ho. We conclude that the relationship between maintenance expense (dollars per month) and usage (hours per week) is significant. (c) Use the estimated regression equation to predict monthly maintenance expense (in dollars per month) for any terminal that is used 25 hours per week. (Round your answer to the nearest cent.) $ per month

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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$Transcription and Explanation: --- **Title:** Regression Analysis of Maintenance Expenses vs. Usage Hours **Description:** The data below represents the output from a regression analysis conducted to study the relationship between monthly maintenance expenses (in dollars) and usage (in hours per week) for a specific brand of computer terminals. **Analysis of Variance:** | Source | DF | Adj SS | Adj MS | |---------------|----|--------|----------| | Regression | 1 | 1575.76| 1575.76 | | Error | 8 | 349.14 | 43.64 | | Total | 9 | 1924.90| | - **Predictor:** - **Coef:** - Constant: 6.1092 - X: 0.8951 - **SE Coef:** - Constant: 0.9361 - X: 0.1490 **Regression Equation:** \[ Y = 6.1092 + 0.8951 \times X \] --- **Tasks and Questions:** **(a)** Write the estimated regression equation: \[ \hat{y} = \_\_\_\_\_ \] **(b)** Hypothesis Testing: - Use a t-test to determine whether the monthly maintenance expense (dollars per month) is significantly related to usage (hours per week) at a 0.05 level of significance. - **Hypothesis Statement Options:** - $ H_0: \beta_0 \neq 0 $ $ H_a: \beta_0 = 0 $ - $ H_0: \beta_1 \geq 0 $ $ H_a: \beta_1 < 0 $ - $ H_0: \beta_1 = 0 $ $ H_a: \beta_1 \neq 0 $ - $ H_0: \beta_0 = 0 $ $ H_a: \beta_0 \neq 0 $ - $ H_0: \beta_1 \leq 0 $ $ H_a: \beta_1 > 0 $ - $ H_0: \beta_1 \neq 0 $$

Transcribed Image Text:Transcription and Explanation: --- **Title:** Regression Analysis of Maintenance Expenses vs. Usage Hours **Description:** The data below represents the output from a regression analysis conducted to study the relationship between monthly maintenance expenses (in dollars) and usage (in hours per week) for a specific brand of computer terminals. **Analysis of Variance:** | Source | DF | Adj SS | Adj MS | |---------------|----|--------|----------| | Regression | 1 | 1575.76| 1575.76 | | Error | 8 | 349.14 | 43.64 | | Total | 9 | 1924.90| | - **Predictor:** - **Coef:** - Constant: 6.1092 - X: 0.8951 - **SE Coef:** - Constant: 0.9361 - X: 0.1490 **Regression Equation:** \[ Y = 6.1092 + 0.8951 \times X \] --- **Tasks and Questions:** **(a)** Write the estimated regression equation: \[ \hat{y} = \_\_\_\_\_ \] **(b)** Hypothesis Testing: - Use a t-test to determine whether the monthly maintenance expense (dollars per month) is significantly related to usage (hours per week) at a 0.05 level of significance. - **Hypothesis Statement Options:** - $ H_0: \beta_0 \neq 0 $ $ H_a: \beta_0 = 0 $ - $ H_0: \beta_1 \geq 0 $ $ H_a: \beta_1 < 0 $ - $ H_0: \beta_1 = 0 $ $ H_a: \beta_1 \neq 0 $ - $ H_0: \beta_0 = 0 $ $ H_a: \beta_0 \neq 0 $ - $ H_0: \beta_1 \leq 0 $ $ H_a: \beta_1 > 0 $ - $ H_0: \beta_1 \neq 0 $

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