Exercise237

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California State University, Fresno *

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Statistics

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Feb 20, 2024

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Uploaded by DoctorHeatJellyfish343

Exercise #7: Ch. 15 & 16 1. Use Chapter 15 Data Set 2 to calculate the correlation coefficient and answer the following questions. The data set contains Motivation scores and the GPA of 30 students. a. State the null and research hypotheses in sentence and equation form: there is no relationship in gpa and motivation there is a relationship between gpa and motivation b. Choose the level of risk: a=.05 c. Use SPSS to calculate the correlation coefficient and the significance. r=.434 sig=.017 d. Copy the SPSS output into your answer. e. Write the results in formal notation. r(28) =.434 ,p<.05 f. Calculate the coefficient of determination. r2=(.434)^2=.1884=18.84% g. Are the results statistically significant? yes h. Do you reject the null hypothesis? yes 2. Use Chapter 16 Data Set 2 to answer the following questions. The data set contains Question Times and the Number of Correct Answers for 10 test takers. a. Identify the Independent Variable.

question times b. Identify the Dependent Variable. number of correct answers c. Use SPSS to calculate the correlation coefficient and the linear regression coefficients. r=-.175 b=-.144 a= 7.414 d. Copy the SPSS output into your answer. . e. Write the linear regression equation. y=-.144X+7.414 f. Predict the number of correct answers given a time per question of 18 seconds. 3. Multiple regression uses multiple independent variables to predict an outcome. 4. The regression line is also known as a: line of best fit 5. The closer the correlation coefficient is to 1 or -1, the smaller the:

standard error of estimate

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