QUESTION 3 Different foods have a different number of calories. The size in grams of an average serving and the weight of the contestant in lose weight program is being studied. The simple linear regression and correlation analysis is performed in a sample of 9 observations and give the results as below: SS = 8400 ss, = 1067.68 a = 30.134 b = 0.2867 (a) Develop the equation of the simple linear regression line for this data. Then, give a brief interpretation of the values of the linear correlation coefficient, the intercept and the slope. 6) Test the hypothesis that the slope would be positive at the 10% significance level by showing your solution. e) Construct an 80% confidence interval for B. Interpret your answer.

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QUESTION 3
Different foods have a different number of calories. The size in grams of an average serving
and the weight of the contestant in lose weight program is being studied. The simple linear
regression and correlation analysis is performed in a sample of 9 observations and give the
results as below:
SS = 8400
SSyy = 1067.68
a = 30.134
b = 0.2867
(a)
Develop the equation of the simple linear regression line for this data. Then, give a brief
interpretation of the values of the linear correlation coefficient, the intercept and the
slope.
(b)
Test the hypothesis that the slope would be positive at the 10% significance level by
showing your solution.
(c)
Construct an 80% confidence interval for B. Interpret your answer.
Transcribed Image Text:QUESTION 3 Different foods have a different number of calories. The size in grams of an average serving and the weight of the contestant in lose weight program is being studied. The simple linear regression and correlation analysis is performed in a sample of 9 observations and give the results as below: SS = 8400 SSyy = 1067.68 a = 30.134 b = 0.2867 (a) Develop the equation of the simple linear regression line for this data. Then, give a brief interpretation of the values of the linear correlation coefficient, the intercept and the slope. (b) Test the hypothesis that the slope would be positive at the 10% significance level by showing your solution. (c) Construct an 80% confidence interval for B. Interpret your answer.
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