Case Study

The following table shows the exports of New Cotton and the imports of manufactured goods into India for $7$ years. Based on the given data, answer the following questions.

Exports $($in Cr$.$ Of Rs$.)42445855899860$

Imports $($in Cr$.$ Of Rs$.)56495358677658$

Question $1$: If the regression equation y on x be y$=0\mathrm{.}3911$x$+34\mathrm{.}6525,$ then the value of y when x $=70$ is $\_\_\_\_\_\_$

Question $2$: If the regression equation y on x be y$=0\mathrm{.}3911$x$+34\mathrm{.}6525,$ then y intercept value is $\_\_\_\_\_\_$

Question $3$: Regression Coefficient bxy $($X $-$ Export and Y$-$ Import$)$ is $\_\_\_\_\_\_\_$

Question $4$: Regression Coefficient byx $($X $-$ Export and Y$-$ Import$)$ is $\_\_\_\_\_\_\_$

Question $5$: Taking $60$ to be the assumed mean for X $($Export$)$ variable $,$ sum of all deviations is $\_\_\_\_\_\_$

Question $6$: Taking $60$ to be the assumed mean for Y $($Import$)$ variable $,$ sum of all deviations is $\_\_\_\_\_\_$

Question $7$: Taking assumed mean to be $60,$ sum of all squared deviations of X $($Export $)$ variable is $\_\_\_\_$

Question $8$: Taking assumed mean to be $60,$ sum of all squared deviations of Y $($Import $)$ variable is $\_\_\_\_$

Question $9$: Taking X to be Exports $($in Crores$),$ the average is $\_\_\_\_\_\_$

Question $10$: Taking Y to be the Imports $($in Crores$),$ the average value is $\_\_\_\_\_\_$