Question

Rice yield prediction with Simple Linear Regression A simple linear regression is fitted to predict the yield of rice (kg per hectare) by using the annual rainfall (in mm) during the year. The intercept and slope of the regression equation are 473 and 5, respectively. What is the predicted rice yield if the annual rainfall is 582 mm? Choose an answer The predicted rice yield is: 2274 kg. Per hectare 1667 kg. Per hectare 3383 kg. Per hectare 2356 kg. Per hectare

Answer 1

3383 Kg per hectare

Explanation:

Given that:

Intercept and slope for a given regression equation is :

Intercept = 473 ; slope = 5

The dependent variable / predicted variable = rice yield (y)

The independent variable / predictor variable = annual Rainfall (x)

The regression model can be written has :

General form of a regression equation / model:

y = mx + c ; m = slope ; c = intercept

y = 5x + 473

predicted rice yield if the annual rainfall is 582 mm

y = 5(582) + 473

y = 2910 + 473

y = 3383 Kg per hectare