Juan works for you in the Customer Service Department. He hates answering incoming customer calls and prefers to respond to cust
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Answer:
a) y = 10 + 4x and see attached for part ii.
b) y = 14.
c) y = 18
d) Please see attached diagram
mean(x) = 1 and mean(y) = 14.2.. Mean is the same as bar(x) and bar(y) respectively
e,i)
s(b0) = 0.6633
s(b1) = 0.4690
f) H0: b1 = 0
H1: b1 ≠ 0
We conduct a t - test and arrived at
t = 8.528785
p-value = 6.613545e-06
@ alpha = 5%.
The test is significant, therefore, we reject the null hypothesis.
Explanation:
a) We fit the regression equation. The Y is dependent variable and X is the independent variable. After fitting, we obtained
y = 10 + 4x
And we fit the line of regression as shown in the attached.
b) We are to substitute x = 1 into the regression equation obtained. This is;
===> y = 10 + 4*1 = 14
c) When x= 2, we have;
===> y = 10 + 4*2 = 18
d) We just need to plot the outcome of the model. Although we also show the value of bar(x) and bar(y). See attached (4 in 1 plots) for the plot.
e) The s is the sample standard deviation, which we can also call standard error.
s(b0) = 0.6633
s(b1) = 0.4690
f) Last we conducted the test,
t = b1-b/S(b1) = (4 - 0)/ 0.4690 = 8.528785
The p-values of (t = 8.528785) = 6.613545e-06 which < 0.05. Therefore, we reject H0.
