Q#5.(a) Given the following the values of the variables: Income (X) (000) 10 20 30 40 50 60 Expenditure(Y)(000) 7 21 23 34 6. 53 Estimate the equation of least squares regression line and discuss your results. Estimate expenditure when Income is 70 and 80. Also find the correlation between two variables and discuss your results.

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Pls, solve both parts:

Q#5.(a) Given the following the values of the variables:
Income (X) (000)
10
20
30
40
50
60
Expenditure(Y)(000)
7
21
23
34
6.
53
Estimate the equation of least squares regression line and discuss your results. Estimate expenditure when
Income is 70 and 80. Also find the correlation between two variables and discuss
your
results.
(b) Let X~N(40,144) and if Y = 2X – 1 Find the following probabilities:
(i) P(X < 40) (ii) P(Y > 50) (iii)P(35 < X < 45),(iv)P(-45 < Y < 45),(v)P(-50 <Y < 100)
Transcribed Image Text:Q#5.(a) Given the following the values of the variables: Income (X) (000) 10 20 30 40 50 60 Expenditure(Y)(000) 7 21 23 34 6. 53 Estimate the equation of least squares regression line and discuss your results. Estimate expenditure when Income is 70 and 80. Also find the correlation between two variables and discuss your results. (b) Let X~N(40,144) and if Y = 2X – 1 Find the following probabilities: (i) P(X < 40) (ii) P(Y > 50) (iii)P(35 < X < 45),(iv)P(-45 < Y < 45),(v)P(-50 <Y < 100)
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