L11046 X 11.46 Consider the following pairs of observations: 1 1 4 3 3 3 2 1 4 7 0 2 a. Construct a scatterplot for the data. b. Use the method of least squares to fit a straight line to the seven data points in the table. c. Plot the least squares line on your scatterplot of part a. d. Specify the null and alternative hypotheses you would use to test whether the data provide sufficient evidence to indicate that x contributes information for the (linear) prediction of y. e. What is the test statistic that should be used in conducting the hypothesis test of part d? Specify the degrees of freedom associated with the test statistic. f. Conduct the hypothesis test of part d using a = .05.

L11046 X 11.46 Consider the following pairs of observations: 1 1 4 3 3 3 2 1 4 7 0 2 a. Construct a scatterplot for the data. b. Use the method of least squares to fit a straight line to the seven data points in the table. c. Plot the least squares line on your scatterplot of part a. d. Specify the null and alternative hypotheses you would use to test whether the data provide sufficient evidence to indicate that x contributes information for the (linear) prediction of y. e. What is the test statistic that should be used in conducting the hypothesis test of part d? Specify the degrees of freedom associated with the test statistic. f. Conduct the hypothesis test of part d using a = .05.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

Please do NOT use excel I want to know how to do these parts manually. Please answer only f and g.

Part g: Construct a 99% Confidence Interval for β1

L11046
X
y
11.46 Consider the following pairs of observations:
1
1
3
3
3
2
1
4
6
7
O
2
a. Construct a scatterplot for the data.
b. Use the method of least squares to fit a straight line to
the seven data points in the table.
c. Plot the least squares line on your scatterplot of part a.
d. Specify the null and alternative hypotheses you would
use to test whether the data provide sufficient evidence
to indicate that x contributes information for the (linear)
prediction of y.
e. What is the test statistic that should be used in
conducting the hypothesis test of part d? Specify the
degrees of freedom associated with the test statistic.
f. Conduct the hypothesis test of part d using a = = .05.

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