Q6b. (Chapter 13) A professor wants to conduct a study in a statistics class to measure the effect of solving problems at home on the performance on the final exam. She collected data at random for 20 students from a class on the number of hours spent in a week doing problem sets at home (X) and their score on the final exam (Y), as shown in the following table. Answer questions (a) through (d) based on this data. X = # of hrs/week 24 10 20 6 5 21 23 18 19 12 16 6 19 5 22 12 20 15 18 10 Y = score on the final 100 72 90 63 59 90 98 89 86 73 85 66 86 64 96 73 94 85 85 70 c. The coefficients of determination is and coefficient of non-determination is d. Perform an F-test for the significance of the regression at 0.05 level of significance. Answer if you found the model to be "significant" or "not significant" based on this test.
Percentage
A percentage is a number indicated as a fraction of 100. It is a dimensionless number often expressed using the symbol %.
Algebraic Expressions
In mathematics, an algebraic expression consists of constant(s), variable(s), and mathematical operators. It is made up of terms.
Numbers
Numbers are some measures used for counting. They can be compared one with another to know its position in the number line and determine which one is greater or lesser than the other.
Subtraction
Before we begin to understand the subtraction of algebraic expressions, we need to list out a few things that form the basis of algebra.
Addition
Before we begin to understand the addition of algebraic expressions, we need to list out a few things that form the basis of algebra.
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(6b)
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