Regression and ANOVA

What is the formula for calculating the slope in linear regression?

• slope = Σ(xy) / Σ(x^2)

• slope = (ΣxΣy) / (nΣ(x^2))

• slope = (nΣ(xy) - ΣxΣy) / (nΣ(x^2))

• slope = (nΣ(xy) - ΣxΣy) / (nΣ(x^2) - (Σx)^2)

What does the Pearson correlation coefficient measure?

• It measures the linear relationship between two variables.

• It measures the cooking time between two variables.

• It measures the weather patterns between two variables.

• It measures the political affiliation between two variables.

In ANOVA one-way, what is the null hypothesis?

• The sample size is too small to draw any conclusions.

• There are no significant differences between the group means.

• The data is normally distributed.

• There are significant differences between the group means.

What is the main difference between one-way ANOVA and two-way ANOVA?

• Number of groups compared

• Number of independent variables involved

• Type of data used

• Statistical assumptions

How is the coefficient of determination interpreted in linear regression?

• R-squared is a measure of the strength of the relationship between the variables.

• R-squared indicates the accuracy of the regression model in predicting future outcomes.

• R-squared indicates the proportion of the variance in the dependent variable that is predictable from the independent variable(s).

• R-squared represents the correlation between the independent and dependent variables.

What is the range of values for the Pearson correlation coefficient?

• 0 to 1

• -1 to 1

• -2 to 2

• 1 to 10

What does a p-value less than 0.05 indicate in ANOVA?

• No difference between group means

• High variability within groups

• Low variability within groups

• Statistically significant difference between group means

When conducting two-way ANOVA, how many independent variables are considered?

• 3

• 1

• 4

• 2

What is the purpose of the F-test in ANOVA?

• To compare the variability between group means to the variability within groups

• To identify outliers in the dataset

• To calculate the median of the data

• To determine the correlation between variables

What does a negative Pearson correlation coefficient indicate?

• No relationship

• Positive relationship

• Perfect relationship

• Inverse relationship