Answer to Question #227993 in Statistics and Probability for Lala Patel

Question

Here is the Agri-Data, mention the name of dependent and independent variables.

Part A: Prepare the line of regression Y on X.

Part B: Calculate r2 (coefficient of determination). Interpreted the byx.

District_2 Rapeseed & Rapeseed &

Mustard Production Mustard Area (Hectare)

in Metric tonnes

UTTAR KASHI 437 87

CHAMOLI 193 407

RUDRA PRAYA 154 325

TEHRI GARHW 466 848

DEHRADUN 139 226

Answer 1

Data

Rapeseed & Mustard production in Metric Tones is dependent variable = Y

Rapeseed mustard area production is an independent variable = X

Part A

By using Excel

$y=a + bx$

=INTERCEPT(A2:A6,B2:B6)

$a = -2.28$

=SLOPE(A2:A6,B2:B6)

$b= 0.52\\ y=0.52-2.28x$

Part B

=RSQ(A2:A6,B2:B6)

$R^2=0.981$

The relation between Y and X is very strong. 98% of the variance of the dependent variable being studied is explained by the variance of the independent variable.

The graphical method with trend line.