lab, the psychologist records physiological measures of anxiety (heart rate, skin resistance, blood pressure, etc.) for each participant. In addition, the psychologist obtains the exam score for each participant. Student Anxiety Rating (X) Exam Score (Y) A 80 B 88 C D E F 774529 80 79 86 85 Please, show all your work and circle your final answers. 1 (a). Write the model that you are considering and estimate the least-squares regression line. Provide equation explicitly. 1 (b). Test the hypothesis that ₁ = 0 at the 0.05 level of significance against the alter- native that 3₁ 0. 1 (c). Suppose the psychologist wants to predict the exam score of a particular student with an anxiety rating of 3. Find a 90% prediction interval. Provide Lower Prediction Limit and Upper Prediction Limit explicitly.

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[Regression Analysis] How do you solve this?

1. To measure the relationship between anxiety level and test performance, a psychologist
obtains a sample of n = 6 college students from an introductory statistics course. The
students are asked to come to the laboratory 15 minutes before the final exam. In the
lab, the psychologist records physiological measures of anxiety (heart rate, skin resistance,
blood pressure, etc.) for each participant. In addition, the psychologist obtains the exam
score for each participant.
Student Anxiety Rating (X) Exam Score (Y)
A
80
B
88
80
79
86
85
с
D
E
F
527745
Please, show all your work and circle your final answers.
1 (a). Write the model that you are considering and estimate the least-squares regression
line. Provide equation explicitly.
1 (b). Test the hypothesis that ₁ = 0 at the 0.05 level of significance against the alter-
native that ₁0.
1 (c). Suppose the psychologist wants to predict the exam score of a particular student
with an anxiety rating of 3. Find a 90% prediction interval. Provide Lower Prediction
Limit and Upper Prediction Limit explicitly.
Transcribed Image Text:1. To measure the relationship between anxiety level and test performance, a psychologist obtains a sample of n = 6 college students from an introductory statistics course. The students are asked to come to the laboratory 15 minutes before the final exam. In the lab, the psychologist records physiological measures of anxiety (heart rate, skin resistance, blood pressure, etc.) for each participant. In addition, the psychologist obtains the exam score for each participant. Student Anxiety Rating (X) Exam Score (Y) A 80 B 88 80 79 86 85 с D E F 527745 Please, show all your work and circle your final answers. 1 (a). Write the model that you are considering and estimate the least-squares regression line. Provide equation explicitly. 1 (b). Test the hypothesis that ₁ = 0 at the 0.05 level of significance against the alter- native that ₁0. 1 (c). Suppose the psychologist wants to predict the exam score of a particular student with an anxiety rating of 3. Find a 90% prediction interval. Provide Lower Prediction Limit and Upper Prediction Limit explicitly.
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