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.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter1: Functions
Section1.2: The Least Square Line
Problem 8E
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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.
Transcribed Image Text: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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