Case Study

In order to fit a regression line Y$=$a$+$bX by the method of least square to the following sample information, answer the questions associated

Observations Income $($X$)(\text{'}00$ Rs$)$ Consumption Expenditure $($Y$)(\text{'}00$ Rs$)$

$14144$

$26560$

$35039$

$45751$

$59680$

$69468$

$711084$

$83034$

$97955$

$106548$

Question $1$: After solving the normal equations, the value of $"$a$"$ comes out to be $\_\_\_\_\_\_$

Question $2$: After solving the normal equations, the value of $"$b$"$ comes out to be $\_\_\_\_\_\_$

Question $3$: As per the regression line equation, the slope of the line is represented by $\_\_\_\_\_\_$ value

Question $4$: As per the regression line equation, the y intercept of the line is represented by $\_\_\_\_\_\_$ value

Question $5$: The difference between the values of $?$X and $?$Y is $\_\_\_\_\_\_$

Question $6$: The regression equation found by least square method $($y $=$ a $+$bx$)$ can be called as regression line $\_\_\_\_\_\_\_\_$

Question $7$: he value of $?$XY $=\_\_\_\_\_\_\_\_\_$

Question $8$: Which amongst the following is not a normal equation?

Question $9$: Which amongst the following is not a normal equation?

Select one:

a$.$

$?$xy$=$a$?$x$+$b$?$x$^2$

b$.$

$?$xy$-$a$?$x$=$b$?$x$^2$

c$.$

$?$xy$-?$x$^2=$a$?$x$/$b

d$.$

$?$xy$-$b$?$x$^2=$a$?$x

Clear my choice

Question $10$

Not yet answered

Marked out of $1\mathrm{.}00$

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Question text

Which amongst the following is not required to find, in order to fit a regression line?

Select one:

a$.$

$?$XY

b$.$

$?$X$^2$

c$.$

$?$Y$^2$

d$.$

$?$XY$^2$

Which amongst the following is not a normal equation?

Question $10$: