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L11046 X y 11.46 Consider the following pairs of observations: 1 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 y 11.46 Consider the following pairs of observations: 1 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
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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Please DO NOT use excel. I want to know how to solve it without any statistical software. Please do parts d and e only. 

**11.46 Consider the following pairs of observations:** | x | 1 | 4 | 3 | 2 | 5 | 6 | 0 | |---|---|---|---|---|---|---|---| | y | 1 | 3 | 3 | 1 | 4 | 7 | 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 \(\alpha = 0.05\).
Transcribed Image Text:**11.46 Consider the following pairs of observations:** | x | 1 | 4 | 3 | 2 | 5 | 6 | 0 | |---|---|---|---|---|---|---|---| | y | 1 | 3 | 3 | 1 | 4 | 7 | 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 \(\alpha = 0.05\).
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