Consider the following set of ordered pairs Assuming that th

Consider the following set of ordered pairs. Assuming that the regression equation is y = 3.058 + 0.425x and that the SSE = 6.1083, test to determine if the slope is not equal to zero using alpha = 0.10. State the hypotheses. Choose the correct answer below. Calculate the test statistic. Identify the p-value. State the conclusion. Choose the correct answer below.

Solution

B) H0: Beta =0 vs Ha: Beta not equal to 0

Step 2: Find the sum of every column:

X=18 , Y=26 , XY=95 , X2=94, Y2=126

Hence STd error of beta = SE = s_b1 = sqrt [ (y_i - _i)² / (n - 2) ] / sqrt [ (x_i - x)² ]

(y_i - _i)² / (n - 2) = (126-4.67^2)/4 = 26.048

[ (x_i - x)² = 94-9=85

se = 0.5535

t statistic = b1/se =0.768

df = 5

p value = .477171.

The result is not significant at p < .05.

Hence Option B is right

X	Y	XY	XX
8	6	48	64
0	2	0	0
4	6	24	16
2	3	6	4
3	4	12	9
1	5	5	1