Movie companies need to predict the gross receipts of an individual movie once the movie has debuted. The data in the accompanying table are the first weekend gross, the regional gross, and the worldwide gross (in $millions) of six movies. Complete parts (a) and (b). Click the icon to view the data table. a. Compute tne coemicient or correiation berween rirst weekena gross ana tne regionai gross, nrst weekena gros ana tne woriawiae gross, ana tne regionai gross ana woriawiae gross. The coefficient of correlation between first weekend gross and the regional gross is. (Round to four decimal places as needed.) The coefficient of correlation between first weekend gross and the worldwide gross is (Round to four decimal places as needed.) The coefficient of correlation between the regional gross and worldwide gross is. (Round to four decimal places as needed.) b. At the 0.05 level of significance, is there a significant linear relationship between first weekend gross and the regional gross, first weekend gross and the worldwide gross, and the regional gross and worldwide gross? Determine the hypotheses for the tests. Choose the correct answer below. O A. Ho: Po =0 Hi: Poz0 O B. HAP20 H: p<0 OC. Ho pso H p>0 OF Ho P120 O D. Ho: B1s0 O E. Ho: p=0 Hi pz0

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Inverse Normal Distribution

The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.

Mean, Median, Mode

It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.

Z-Scores

A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.