Question

Given below are seven observations collected in a regression study on two variables, X (independent variable) and Y (dependent variable). PLEASE TYPE OUT. I HAVE A VERY DIFFICULT TIME READING HAND WRITTEN RESPONSES. THANK YOU SO MUCH!

X	Y
2	12
3	9
6	8
7	7
8	6
7	5
9	2

a. Develop the least squares estimated regression equation.

b. State the hypotheses to test for the significance of the regression line.

c. Perform an F test to determine whether or not the model is significant. Let α = 0.05.

Answer 1

write the data in excel

then go to menu>data>data analysis > regession>then enter the required labels.

a) the least squares estimated regression equation,

y hat = 13.75 - 1.125x

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b) and c)

H_o: The slope of the regression line is equal to zero

H_a: The slope of the regression line is not equal to zero.

in above excel image, in anova significance F shows the p-value of F-test

so, p value=0.003478

alpha=0.05

p value<alpha (0.003478<0.05)

Since the P-value is less than the significance level (0.05)

so, null hypothesis is rejected.

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