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(a) Is there a relation between time (in hours) a machinery operates and the time (in hours) the machinery requires repair? SUMMARY OUTPUT Regression Statistics

(a) Is there a relation between time (in hours) a machinery operates and the time (in hours) the machinery requires repair?

SUMMARY OUTPUT
Regression Statistics
Multiple R 0.797294
R Square 0.635677
Adjusted R Square 0.599245
Standard Error 6.836855
Observations 12

Coefficients Standard Error t Stat P-value
Intercept 26.15 7.067868 3.700007 0.004108
Operation 0.019 0.00464 4.177105 0.001896

(i) Write down the equation of the least squares regression line to predict the reparation time from operation time.

(ii) Predict the reparation time when operation time is 1300 Hs.

b) The average retail price of a 500g jar of honey, 500 g of beef and 500g of processed cheese slices are shown below for June quarters in the years 2015 and 2020.

  1. Using 2015 as a base category calculate Laspayres index
  2. By what percentage does the Index increased?
Item Unit Quantity sold in 2015 2015 Price ($) 2020 Price ($)
Strawberry 500g 4.01 5.39
Sausages 500g 6.61 7.54
Cheese(sliced) 500g 4.32 7.19

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