Simple linear regression model

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The discussion focuses on two main questions regarding a simple linear regression model. The first question addresses the relationship between humidity and moisture content, specifically why a 1% increase in humidity results in a 0.2727% increase in moisture content instead of a combined increase. The second question critiques the conclusion drawn in a previous example, arguing that the slope B_1, which is 0.2724, should lead to the rejection of the null hypothesis (H0) that B_1 equals 1. Participants emphasize the importance of providing clear problem statements and regression equations for effective assistance. Overall, the conversation highlights the need for clarity in statistical analysis and hypothesis testing.
tzx9633

Homework Statement


For the first question , why when the humidity increase by 1 percent , the moisture content will increase by 0.2727 percent ? Shouldn't it the moisture content will increase by 0.2727 + 0.4911 percent when the humidity increase by 1 percent ?
Second question , it's clear that in the 2nd photo , the slope , B_1 is 0.2724. It's is to test whether the slope equal to 1 in example 5 .. Why at the end of result , we should do not reject H0 , and conclude that B_1 is 1 ?
P/s : Example 5 (3rd and 4th photo) is continuous from example 3 (first and second photo)

Homework Equations

The Attempt at a Solution



I think for the second question is wrong . It's clear that in example 3 the B_1 is 0.2724 , which is not 1 . So , i think we should reject H0 , so that the slope , B_1 not equal to 1 . Correct me if i am wrong . [/B]
 

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tzx9633 said:

Homework Statement


For the first question , why when the humidity increase by 1 percent , the moisture content will increase by 0.2727 percent ? Shouldn't it the moisture content will increase by 0.2727 + 0.4911 percent when the humidity increase by 1 percent ?
Second question , it's clear that in the 2nd photo , the slope , B_1 is 0.2724. It's is to test whether the slope equal to 1 in example 5 .. Why at the end of result , we should do not reject H0 , and conclude that B_1 is 1 ?
P/s : Example 5 (3rd and 4th photo) is continuous from example 3 (first and second photo)

Homework Equations

The Attempt at a Solution



I think for the second question is wrong . It's clear that in example 3 the B_1 is 0.2724 , which is not 1 . So , i think we should reject H0 , so that the slope , B_1 not equal to 1 . Correct me if i am wrong . [/B]

You should not expect helpers to look at your posted images. If you are serious about wanting help, you should type out the problem statement and the final regression equation. You can include the image of the data table---that is acceptable.

You should read the "pinned" thread "Guidelines for students and helpers" by Vela, to get a better idea of PF standards and recommendations.
 
Question: A clock's minute hand has length 4 and its hour hand has length 3. What is the distance between the tips at the moment when it is increasing most rapidly?(Putnam Exam Question) Answer: Making assumption that both the hands moves at constant angular velocities, the answer is ## \sqrt{7} .## But don't you think this assumption is somewhat doubtful and wrong?

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