In a simple linear regression analysis, the following data represents the relationship between x and y: x: 5, 10, 15, 20, 25 y: 12, 18, 24, 30, 36 Calculate the equation of the regression line y on x:a.x=1.2y+6b.y=1.2x+6c.x=1.5y+8d.y=1.5x+8Clear my choice

To calculate the equation of the regression line y on x, we can use the formula:

y = mx + b

where m is the slope of the line and b is the y-intercept.

Step 1: Calculate the mean of x and y. Mean of x = (5 + 10 + 15 + 20 + 25) / 5 = 15 Mean of y = (12 + 18 + 24 + 30 + 36) / 5 = 24

Step 2: Calculate the deviations from the mean for x and y. Deviation of x = x - mean of x Deviation of y = y - mean of y

For x: (-10, -5, 0, 5, 10) For y: (-12, -6, 0, 6, 12)

Step 3: Calculate the sum of the products of the deviations. Sum of (deviation of x * deviation of y) = (-10 * -12) + (-5 * -6) + (0 * 0) + (5 * 6) + (10 * 12) = 0

Step 4: Calculate the sum of the squared deviations for x. Sum of (deviation of x)^2 = (-10)^2 + (-5)^2 + (0)^2 + (5)^2 + (10)^2 = 250

Step 5: Calculate the slope (m) of the regression line. m = Sum of (deviation of x * deviation of y) / Sum of (deviation of x)^2 m = 0 / 250 = 0

Step 6: Calculate the y-intercept (b) of the regression line. b = mean of y - (m * mean of x) b = 24 - (0 * 15) = 24

Therefore, the equation of the regression line y on x is: y = 0x + 24

Simplifying, we get: y = 24

So, the correct answer is: y = 24.