You work for a parts manufacturing company and are tasked with exploring the wear lifetime of a certain bearing. You gather data on oil visc

Question

You work for a parts manufacturing company and are tasked with exploring the wear lifetime of a certain bearing. You gather data on oil viscosity used and load. You see the regression output given below.
Predictor Coef Stdev t-ratio P
Constant -147.973 41.972 -3.53 0.004181
viscosity 6.262 0.474 13.21 <0.0001
load 0.298 0.04 7.43 <0.0001

s = 13.507 R² = 95.73% R² (adj = 95.02%

Analysis of Variance

Source DF SS MS F
Regression 2 49131.93 24565.96 134.65
Error 12 2189.38 182.45
Total 14 51321.3

Required:
What is the correct conclusion about the regression slopes based solely on the F-test

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Tryphena 4 years 2021-07-30T23:07:17+00:00 1 Answers 18 views 0

Answers ( )

  1. thaiduong
    0
    2021-07-30T23:08:44+00:00
    Reply

    Answer:

    We reject the Null and conclude that There is significant evidence that the slope values are greater than 0.

    Step-by-step explanation:

    Based on the ANOVA output given :

    The F critical value can be obtained thus ;

    F(df regression, df error)

    Using an α-value of 0.01

    F(2, 12) at α = 0.01 is 6.927

    The F statistic as obtained from the ANOVA table = 134.65

    Since, F statistic > F critical we reject the Null and conclude that slope values are significantly > 0

    Similarly,

    Using the Pvalue :

    The Pvalue of the slope are extremely small :

    Viscosity <0.0001

    Load <0.0001

    At α = 0.01, 0.025

    The Pvalue < α ; The null will be rejected.

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