a) In a study of the relationship between X-mean daily temperature for the month and Y=monthly charges on electrical bill, the following data was gathered: X Y 20 125 30 110 50 95 60 85 80 75 у on X (i) Find the equation of regression line of monthly charges on mean daily temperature using the least squares method. (ii) Interpret the values of estimated slope and intercept. (iii) Estimate the predicted monthly charges on electricity bill if the temperature is 40.

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a) In a study of the relationship between X=mean daily temperature for
the month and Y=monthly charges on electrical bill, the following data
was gathered:
X
Y
JS.
20
125
30
110
50
95
60
85
80
75
y
on X
(1) Find the equation of regression line of monthly charges on mean
daily temperature using the least squares method.
(ii) Interpret the values of estimated slope and intercept.
(iii) Estimate the predicted monthly charges on electricity bill if the
temperature is 40.
b) A company producing television tubes guarantees that the mean
lifetime for the tubes exceeds 1000 hours. To check this, a random
sample of 49 television tubes produced by the company is drawn and
it shows a mean lifetime of 1200 hours and a standard deviation of
100 hours.
(i) Formulate the null and alternate hypotheses for the above
problem.
(ii) Is there any evidence to support the company claim at 10%
level of significance,
(iii) Construct the 90% confidence interval for the mean life time of
tubes.
Transcribed Image Text:a) In a study of the relationship between X=mean daily temperature for the month and Y=monthly charges on electrical bill, the following data was gathered: X Y JS. 20 125 30 110 50 95 60 85 80 75 y on X (1) Find the equation of regression line of monthly charges on mean daily temperature using the least squares method. (ii) Interpret the values of estimated slope and intercept. (iii) Estimate the predicted monthly charges on electricity bill if the temperature is 40. b) A company producing television tubes guarantees that the mean lifetime for the tubes exceeds 1000 hours. To check this, a random sample of 49 television tubes produced by the company is drawn and it shows a mean lifetime of 1200 hours and a standard deviation of 100 hours. (i) Formulate the null and alternate hypotheses for the above problem. (ii) Is there any evidence to support the company claim at 10% level of significance, (iii) Construct the 90% confidence interval for the mean life time of tubes.
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