Maths › Flashcards › Further Statistics 2: lesson checks, part 1

Further Statistics 2: lesson checks, part 1 flashcards

This deck has 6 check-yourself questions and 6 spot-the-error cards. The misconception each lesson corrects, and its check-yourself question with the worked answer. Rate each answer, and the card comes back sooner or later depending on how you rated it.

Further Maths · all 584 maths cards

How the five kinds differ

Standard results ask you to recall a formula or a value. Definitions ask you to state a mathematical term precisely. Recall prompts ask for a rule, condition or method. Check yourself cards are a short question with its answer. Spot the error cards ask you to correct a statement that is wrong.

Every card in this deck

Choose any card to try it in the player above. Each card links to the lesson that teaches it.

• The least squares line is the one that passes closest to all the points, measuring distance perpendicular to the line.Spot the error
• A regression line gives S_xx = 20, S_xy = 30 and S_yy = 50. Find the gradient and the residual sum of squares.Check
• For a continuous random variable, P(X = 1.5) is the height of the density at 1.5.Spot the error
• f(x) = kx for 0 ≤ x ≤ 4 and zero elsewhere. Find k and F(x) on the interval.Check
• The mode of a continuous distribution is the value that occurs most often.Spot the error
• For f(x) = 1/4 on 0 ≤ x ≤ 4, find E(X) and E(X²).Check
• The variance of the uniform distribution on a to b is (b − a)²/4, since the range is b − a.Spot the error
• X follows U(0, 10). Find P(X > 6.5) and the standard deviation.Check
• A correlation coefficient near zero means the two variables are unrelated.Spot the error
• Six items are ranked by two people. The rank differences are 1, −1, 0, 2, −1, −1. Find Spearman's coefficient.Check
• A sample correlation of 0.5 is moderately strong, so it is significant evidence of a real relationship.Spot the error
• A sample of 20 pairs gives r = 0.35. The 5% one-tailed critical value is 0.3783. What do you conclude?Check

The lessons these cards come from

• Continuous random variables: density and distribution functions
• Correlation coefficients: product moment and Spearman
• Least squares regression and residuals
• Mean, variance and skewness of continuous variables
• Testing a correlation coefficient
• The continuous uniform distribution

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